%!PS-Adobe-2.0 %%Creator: dvipsk 5.58f (with hyperlinking) Copyright 1986, 1994 Radical Eye Software %%Title: cond-mat/0103242 %%CreationDate: Tue Apr 24 06:31:48 2001 %%Pages: 9 %%PageOrder: Ascend %%BoundingBox: 0 0 612 792 %%DocumentPaperSizes: Letter %%EndComments %DVIPSParameters: dpi=300, comments removed %%BeginProcSet: tex.pro /TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N /X{S N}B /TR{translate}N /isls false N /vsize 11 72 mul N /hsize 8.5 72 mul N /landplus90{false}def /@rigin{isls{[0 landplus90{1 -1}{-1 1} ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[matrix currentmatrix{dup dup round sub abs 0.00001 lt{round}if} forall round exch round exch]setmatrix}N /@landscape{/isls true N}B /@manualfeed{statusdict /manualfeed true put}B /@copies{/#copies X}B /FMat[1 0 0 -1 0 0]N /FBB[0 0 0 0]N 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[4 [313 392 313 404] 591] put dup (equation.5) [5 [356 35 356 47] 234] put dup (equation.6) [6 [104 394 104 406] 593] put dup (equation.7) [7 [392 203 392 215] 401] put dup (equation.8) [8 [393 617 393 629] 791] put dup (equation.9) [8 [400 534 400 546] 733] put dup (Doc-Start) [1 [42 373 42 385] 571] put dup (cite.Kisker96) [9 [42 334 42 346] 532] put dup (section.1) [1 [42 373 42 385] 571] put dup (section.2) [2 [303 697 303 709] 791] put dup (section.3) [3 [42 495 42 507] 694] put dup (section.4) [5 [303 253 303 265] 451] put dup (section.5) [7 [303 549 303 561] 748] put dup (section.6) [8 [303 228 303 240] 426] put dup (section.7) [9 [42 652 42 664] 791] put dup (cite.Bhatt88) [9 [42 459 42 471] 658] put dup (cite.Vogel98) [9 [42 376 42 388] 575] put dup (figure.1) [3 [338 542 338 554] 740] put dup (figure.2) [3 [340 328 340 340] 527] put dup (figure.3) [4 [75 542 75 554] 740] put dup (figure.4) [4 [77 351 77 363] 549] put dup (figure.5) [5 [78 542 78 554] 740] put dup (figure.6) [5 [339 542 339 554] 740] put dup (figure.7) [6 [337 542 337 554] 740] put dup (figure.8) [7 [76 542 76 554] 740] put dup (figure.10) [8 [82 542 82 554] 740] put dup (figure.9) [7 [77 329 77 341] 527] put dup (cite.Toulouse77) [9 [42 471 42 483] 669] put dup (cite.Binder86) [9 [42 513 42 525] 711] put dup (cite.Frederickson84) [9 [42 449 42 461] 647] put dup (subsection.4.1) [5 [303 100 303 112] 299] put dup (subsection.4.2) [6 [42 126 42 138] 324] put dup (subsection.4.3) [6 [303 386 303 398] 584] put dup (cite.Kauzmann48) [9 [42 536 42 548] 735] put dup (page.1) [1 [42 715 42 727] 791] put dup (page.2) [2 [42 715 42 727] 791] put dup (page.3) [3 [42 715 42 727] 791] put dup (page.4) [4 [42 715 42 727] 791] put dup (page.5) [5 [42 715 42 727] 791] put dup (page.6) [6 [42 715 42 727] 791] put dup (page.7) [7 [42 715 42 727] 791] put dup (page.8) [8 [42 715 42 727] 791] put dup (page.9) [9 [42 715 42 727] 791] put dup (cite.Cataudella96) [9 [42 417 42 429] 615] put dup (cite.Schmitz93) [9 [42 396 42 408] 594] put dup (cite.Young95) [9 [42 502 42 514] 701] put dup (cite.Angell95) [9 [42 524 42 536] 722] put targetdump-hook def TeXDict begin %%EndSetup %%Page: 1 1 gsave matrix defaultmatrix setmatrix 90 rotate 256 -39 moveto /Times-Roman findfont 20 scalefont setfont 0.3 setgray (arXiv:cond-mat/0103242 v2 24 Apr 2001) show grestore 1 0 bop -125 -82 2126 2 v -125 27 2 109 v -110 -40 a Fu(EPJ)15 b(man)o(uscript)e(No.)-110 4 y Ft(\(will)f(b)q(e)j(inserted)g (b)o(y)e(the)i(editor\))p 1999 27 V -125 29 2126 2 v -125 392 a Fs(Vitri\014cation)25 b(in)g(a)h(2D)h(Ising)f(mo)r(del)g (with)g(mobile)f(b)r(onds)-125 486 y Ft(Predrag)15 b(Lazi)o(\023)-20 b(c)14 b(and)g(D.)f(K.)h(Sunk)o(o)449 471 y Fr(a)-125 560 y Fq(Departmen)o(t)g(of)f(Ph)o(ysics,)-125 604 y(F)m(acult)o(y)i (of)d(Science,)-125 649 y(Univ)o(ersit)o(y)j(of)e(Zagreb,)-125 693 y(Bijeni)o(\024)-18 b(ck)n(a)15 b(cesta)f(32,)e(POB)h(331,)-125 738 y(HR-10000)h(Zagreb,)g(Croatia.)53 889 y Fp(Abstract.)21 b 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b(the)h(theoretical)f(ground)g (state)g(energy)h(\(whic)o(h)f(can)g(also)f(b)q(e)-125 788 y(reac)o(hed,)g(b)o(y)e(slo)o(w)g(co)q(oling\).)f(Nev)o(ertheless,) j(it)e(is)h(\014nitely)f(ab)q(o)o(v)o(e)-125 834 y(the)k(ground)f (state,)g(making)d(them)j(metastable.)-62 892 y(In)c(the)g(presen)o(t)i (w)o(ork,)d(w)o(e)h(consider)h(only)e(the)i(fast)e(ev)o(olution)-125 939 y(after)i(a)f(quenc)o(h,)g(leading)f(to)h(the)h(ab)q(o)o(v)o(e-men) o(tioned)d(metastable)-125 985 y(states,)19 b(and)e(the)h(ev)o(olution) e(of)h(these)i(states)f(at)f(in)o(termediate)-125 1032 y(times,)11 b(but)i(not)f(their)g(relaxation)f(to)h(the)h(ground)f (state,)h(o)q(ccur-)-125 1078 y(ing)c(at)g(m)o(uc)o(h)f(longer)h(time)f (scales.)i(The)g(ground)f(state)h(\(annealed)-125 1125 y(system\))18 b(is)g(a)g(comparativ)o(ely)d(trivial)i(amorphous)g (con\014gura-)-125 1172 y(tion,)e(and)h(our)g(only)f(in)o(terest)i(in)e (it)g(is)h(that)g(it)f(establishes)i(the)-125 1218 y(formal)12 b(metastabilit)o(y)f(of)i(the)i(long-liv)o(ed)d(quenc)o(hed)j(states.)f (In)-125 1265 y(this,)g(of)g(course,)h(our)f(to)o(y)f(mo)q(del)g(is)h (di\013eren)o(t)h(from)d(a)i(true)h(vit-)-125 1312 y(reous)f(liquid,)c (where)k(the)e(ground)h(state)g(is)f(an)g(ordered)i(crystal.)-125 1358 y(The)g(mo)q(del)d(analogue)h(of)g(melting)f(in)o(v)o(olv)o(es)h (no)g(order-disorder)-125 1405 y(transition.)-62 1462 y(In)19 b(the)h(description)g(of)f(our)h(results,)g(w)o(e)f(use)i (established)-125 1509 y(language)f(\()p Fk(e.g.)p Ft(,)g(melting\))e (and)i(theoretical)h(to)q(ols)f(\()p Fk(e.g.)p Ft(,)g(the)-125 1556 y(spin-glass)c(susceptibilit)o(y\))g(somewhat)f(outside)i(their)f (original)-125 1602 y(con)o(text.)h(The)h(mo)q(del)d(is)h(purely)h (kinetic,)g(without)f(a)g(thermo-)-125 1649 y(dynamic)10 b(phase)i(transition,)e(so)h(the)h(in)o(teresting)g(\(vitreous\))g(b)q (e-)-125 1695 y(ha)o(viour)18 b(app)q(ears)h(in)f(quasi-equilibrium,)d (established)k(at)f(the)-125 1742 y(ab)q(o)o(v)o(e-men)o(tioned)d(in)o (termediate)g(time)g(scale.)h(W)m(e)f(are)i(guided)-125 1789 y(b)o(y)h(an)f(in)o(tuitiv)o(e)g(analogy)f(b)q(et)o(w)o(een)j (spins)e(and)h(b)q(onds)g(in)f(the)-125 1835 y(disordered)g(Ising)d(mo) q(del,)g(on)g(the)i(one)f(side,)g(and)g(the)h(orien)o(ta-)-125 1882 y(tional)9 b(and)g(con\014gurational)f(degrees)k(of)d(freedom,)f (resp)q(ectiv)o(ely)m(,)-125 1929 y(of)14 b(a)f(glass-former,)f(on)i (the)g(other.)-62 1986 y(One)f(class)g(of)f(Ising-lik)o(e)f(mo)q(dels,) g(often)i(used)h(to)e(study)h(vit-)-125 2033 y(ri\014cation,)21 b(are)i(constrained)g(kinetics)f(mo)q(dels,)e(suc)o(h)j(as)f(the)-125 2079 y(F)m(rederic)o(kson-Andersen)d(mo)q(del)c([7)p (#cite.Frederickson84) [[178 218 183 230] [1 1 1 [3 3]] [0 0 1]] pdfm (].)g(They)i(ha)o(v)o(e)f(no)g(in)o(trinsic)-125 2126 y(disorder,)j(but)f(frustration)g(is)g(in)o(tro)q(duced)h(b)o(y)f (dynamical)e(re-)-125 2173 y(strictions)d(on)e(c)o(hanging)h(the)g (spin)g(states,)g(whic)o(h)g(tak)o(e)g(the)g(part)-125 2219 y(of)18 b(con\014gurational)f(v)n(ariables.)g(Among)g(w)o(ork)h (on)g(v)n(arian)o(ts)f(of)-125 2266 y(the)d(disordered)g(Ising)e(mo)q (del,)f(our)i(program)e(is)i(closest)h(to)e(that)-125 2313 y(of)g(the)h(frustrated)h(p)q(ercolation)e(problem)f([8)p (#cite.Coniglio97) [[209 162 214 174] [1 1 1 [3 3]] [0 0 1]] pdfm -1 w(,)t(9)p (#cite.Cataudella96) [[217 162 222 174] [1 1 1 [3 3]] [0 0 1]] pdfm (].)g(Ho)o(w)o(ev)o(er,)h(that)-125 2359 y(approac)o(h)h(views)h (impurit)o(y)d(b)q(onds)i(as)g(obstacles)h(to)f(rearrange-)-125 2406 y(men)o(t,)f(pla)o(ying)f(a)h(role)h(similar)d(to)j(the)g (dynamical)e(restrictions,)-125 2452 y(men)o(tioned)g(ab)q(o)o(v)o(e.)g (In)g(our)h(w)o(ork,)e(b)q(onds)i(are)g(imagined)e(to)h(rep-)-125 2499 y(resen)o(t)i(the)f(con\014gurational)e(degree)j(of)e(freedom)f (itself,)h(so)g(their)-125 2546 y(mo)o(v)o(emen)o(t)k(b)q(ecomes)i(of)f (ph)o(ysical)h(in)o(terest.)h(It)f(is)f(resp)q(onsible)-125 2592 y(for)e(the)h(app)q(earance)h(of)e(metastable)f(states,)i(the)g (`sup)q(erco)q(oled)-125 2639 y(b)q(ond)j(liquid',)e(whic)o(h)h(ha)o(v) o(e)h(a)f(distinct)h(ph)o(ysical)f(c)o(haracteris-)-125 2686 y(tic,)j(a)f(\014rst-order)i(zero)g(in)e(the)h(\014eld)g(deriv)n (ativ)o(e)f(of)g(the)h(spin)-125 2732 y(glass)15 b(susceptibilit)o(y)m (,)f(not)h(shared)i(b)o(y)d(the)i(states)g(on)f(the)h(co)q(ol-)-125 2779 y(ing)j(curv)o(e)h(connected)h(to)e(the)g(ground-state)h (manifold.)c(This)-125 2826 y(liquid,)d(and)h(the)h(accompan)o(ying)d (glass,)h(are)i(the)g(main)d(sub)r(ject)-125 2872 y(of)i(the)g(presen)o (t)i(article.)962 124 y Fn(2)e(Mo)r(del)19 b(and)f(algo)n(rithm)962 211 y Ft(The)f(mo)q(del)e(is)i(the)g(b)q(ond-disordered)h(t)o(w)o (o-dimensional)c(Ising)962 257 y(mo)q(del)e(on)i(a)f(square)i(lattice)f ([12)p (#cite.Edwards75) [[419 655 429 667] [1 1 1 [3 3]] [0 0 1]] pdfm -1 w(]:)980 349 y Fl(H)h Ft(=)c Fj(\000)1112 309 y Fi(X)1116 400 y Fh(h)p Fg(ij)r Fh(i)1179 349 y Fl(J)1202 355 y Fg(ij)1232 349 y Fl(S)1257 355 y Fg(i)1271 349 y Fl(S)1296 355 y Fg(j)1323 349 y Fj(\000)f Fl(B)1405 309 y Fi(X)1429 398 y Fg(i)1472 349 y Fl(S)1497 355 y Fg(i)1523 349 y Fj(\021)i(\000)1606 309 y Fi(X)1609 400 y Fh(h)p Fg(ij)r Fh(i)1673 349 y Fl(J)1696 355 y Fg(ij)1725 349 y Fl(S)1750 355 y Fg(i)1764 349 y Fl(S)1789 355 y Fg(j)1816 349 y Fj(\000)e Fl(B)i Fj(\001)d Fl(M)r(;)1948 447 y Ft(\(1\))962 494 y(where)20 b(the)h(`spins')d(tak)o(e)i(the)g(v)n(alues)f Fl(S)1624 500 y Fg(i)1660 494 y Ft(=)i Fj(\006)p Ft(1,)e(as)g(w)o(ell)g (the)962 540 y(b)q(onds,)14 b Fl(J)1118 546 y Fg(ij)1160 540 y Ft(=)e Fj(\006)p Ft(1.)i(Here)i Fl(M)j Ft(is)14 b(the)h(total)e(magnetization,)f(cal-)962 587 y(culated)e(as)g(ab)q(o)o (v)o(e,)g(not)g(an)g(indep)q(enden)o(t)h(parameter.)e(The)i(frac-)962 634 y(tion)17 b(of)f(an)o(tiferromagnetic)g(\(negativ)o(e)i Fl(J)1644 640 y Fg(ij)1673 634 y Ft(\))f(b)q(onds)h(is)f(a)g(\014xed) 962 680 y(n)o(um)o(b)q(er)f Fl(p)p Ft(;)g(in)g(this)h(pap)q(er,)g Fl(p)f Ft(=)h(70\045.)e(The)i(k)o(ey)g(new)g(feature)962 727 y(is)g(the)h(abilit)o(y)e(of)h(b)q(onds)h(to)f(mo)o(v)o(e;)e(this)j (is)f(considered)i(to)e(b)q(e)962 773 y(purely)d(di\013usiv)o(e,)f(so)h (there)h(is)f(no)g(kinetic)g(con)o(tribution)f(to)h(the)962 820 y(Hamiltonian.)1024 867 y(Spin)19 b(up)q(dates)h(pro)q(ceed)h(b)o (y)e(\015ipping)f(a)h(spin)g(at)g(random;)962 913 y(the)i(criterion)g (for)f(acceptance)j(is)d(Glaub)q(er's.)g(Bet)o(w)o(een)i(spin)962 960 y(up)q(dates)c(are)f(b)q(ond)f(up)q(dates;)i(the)f(test)h(mo)o(v)o (e)d(is)i(to)f(exc)o(hange)962 1007 y(t)o(w)o(o)i(b)q(onds)i(of)e(the)h (opp)q(osite)h(sign,)e(impinging)d(on)k(the)h(same)962 1053 y(site.)e(This)g(is)g(accepted)i(or)e(rejected,)i(again)d(b)o(y)h (the)h(Glaub)q(er)962 1100 y(criterion.)13 b(Whic)o(h)g(b)q(onds)h(are) g(exc)o(hanged,)f(and)g(on)h(whic)o(h)f(site,)962 1147 y(is)i(c)o(hosen)g(at)g(random,)e(taking)h(care,)i(of)e(course,)i(that) f(the)g(t)o(w)o(o)962 1193 y(b)q(onds)i(in)o(v)o(olv)o(ed)e(are)i (indeed)h(of)e(the)h(opp)q(osite)g(sign.)f(There)i(is)962 1240 y(no)13 b(regular)g(`sw)o(eeping')f(of)h(the)g(lattice,)g(to)g(a)o (v)o(oid)f(arti\014cial)g(cor-)962 1287 y(relations)h(b)q(et)o(w)o(een) j(spin)e(and)f(b)q(ond)h(up)q(dates.)1024 1333 y(There)k(still)e (remains)g(a)g(ph)o(ysical)g(freedom)g(in)h(the)g(up)q(date)962 1380 y(proto)q(col.)d(One)i(migh)o(t)d(consider,)i(in)f(general,)h (\015ipping)f Fl(s)h Ft(spins)962 1426 y(and)c(mo)o(ving)d Fl(b)j Ft(b)q(onds,)g(b)q(efore)h(submitting)d(the)i(new)h (con\014gura-)962 1473 y(tion)h(for)h(acceptance.)h(These)h(are)e (large)g(steps)h(in)f(the)h(random-)962 1520 y(w)o(alk)o(er)h(picture.) g(They)h(are)g(unlik)o(ely)e(to)h(b)q(e)h(accepted)h(in)e(gen-)962 1566 y(eral,)11 b(but)g(once)h(the)g(system)f(is)g(trapp)q(ed)i(in)d(a) h(glassy)g(state,)h(suc)o(h)962 1613 y(steps)j(ma)o(y)c(signi\014can)o (tly)i(a\013ect)i(its)e(c)o(hance)i(to)e(get)h(out.)g(These)962 1660 y(rare)i(`co)q(op)q(erativ)o(e')g(\015uctuations)g(are)g (considered)i(resp)q(onsible)962 1706 y(for)c(re-crystallization)g(of)g (vitreous)h(liquids)e(in)h(the)h(Kauzmann)962 1753 y(picture,)d (sometimes)f(after)h(`arc)o(heologically')d(long)i(times,)g(as)h(in)962 1800 y(windo)o(w)h(glass.)1024 1846 y(In)g(this)h(w)o(ork,)e(w)o(e)h (only)g(fo)q(cus)g(on)g(driving)g(the)g(system)g(in)o(to)962 1893 y(a)d(glassy)h(state,)h(not)e(getting)h(it)g(out.)f(On)i(this)f (`lab)q(oratory')e(time)962 1939 y(scale,)21 b(alternating)f(one-spin)i (and)e(one-b)q(ond)i(up)q(dates,)f(eac)o(h)962 1986 y(sub)r(ject)11 b(to)f(acceptance)i(in)e(turn,)g(pro)o(vide)g(the)h(dominan)o(t)c (quasi-)962 2033 y(equilibration)13 b(mec)o(hanism.)g(The)i(v)o (ery-long-time)e(b)q(eha)o(vior)i(of)962 2079 y(the)f(mo)q(del)e(is)i (the)g(sub)r(ject)h(of)e(a)h(limited)d(in)o(v)o(estigation)i(in)g(Sec-) 962 2126 y(tion)i(4)p (#section.4) [[324 207 329 219] [1 1 1 [3 3]] [0 0 1]] pdfm 16 w(b)q(elo)o(w,)g(but)h(still)e(neglecting)i(m)o(ultistep)f(\(co)q (op)q(erativ)o(e\))962 2173 y(pro)q(cesses,)20 b(whic)o(h)f(could)f(b)q (e)h(imp)q(ortan)o(t)d(for)i(the)h(asymptotic)962 2219 y(regime.)13 b(P)o(aren)o(thetically)m(,)h(w)o(e)h(note)g(that)g(mo)q (de-coupling)d(the-)962 2266 y(ory)e(in)o(tro)q(duces)h(an)f (arti\014cial)g(thermo)q(dynamic)e(transition,)h(and)962 2313 y(therefore)19 b(certainly)e(has)h(the)f(wrong)h(asymptotics,)e (but)h(ev)o(en)962 2359 y(this)11 b(do)q(es)h(not)f(a\013ect)h(the)g (in)o(termediate)f(time)e(scales,)j(for)f(whic)o(h)962 2406 y(it)i(w)o(as)h(devised)h([10)p (#cite.Schmitz93) [[370 140 380 152] [1 1 1 [3 3]] [0 0 1]] pdfm -1 w(].)1024 2452 y(W)m(e)h(consider)i(t)o(w)o(o)e(situations:)g (annealed,)g(where)i(the)f(sys-)962 2499 y(tem)d(is)i(equilibrated)f (at)g(high)g(temp)q(erature)h(\()p Fl(T)k Ft(=)14 b(5,)h(but)g(an)o(y) 962 2546 y Fl(T)21 b(>)15 b Ft(2)g(will)g(do\),)g(and)g(then)i(slo)o (wly)e(co)q(oled)h(\(in)f(steps)i(of)f(0)p Fl(:)p Ft(05,)962 2592 y(w)o(aiting)j(to)h(equilibrate)g(b)q(et)o(w)o(een)i(temp)q 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y(b)o(y)e(a)h(\014lled)h(square)f(in)g(Fig.)g(1)p (#figure.1) [[411 318 415 330] [1 1 1 [3 3]] [0 0 1]] pdfm (.)e(Only)j (uncomp)q(ensated)g(b)q(onds)g(are)962 1709 y(sho)o(wn.)f(The)h(prep)q (onderance)h(of)e(singletons)j(indicates)g(nearly)e(all)962 1753 y(the)13 b(disorder)i(is)e(glassy)m(.)962 1890 y Ft(the)i(state)g(in)e(whic)o(h)i(they)f(end.)h(In)f(the)h(next)g (section,)f(w)o(e)h(shall)962 1937 y(discuss)j(a)f(third)h(t)o(yp)q(e)f (of)g(co)q(oling)f(run,)h(where)i(the)f(system)f(is)962 1983 y(co)q(oled)f(slo)o(wly)g(after)g(a)g(quenc)o(h)i(from)c(high)i (temp)q(erature.)h(An)962 2030 y(example)h(of)g(this)h(is)g(also)g(giv) o(en)f(in)h(the)h(\014gure,)f(sho)o(wing)f(the)962 2077 y(thermo)q(dynamicall)o(y)11 b(exp)q(ected)16 b(b)q(eha)o(vior.)1024 2126 y(While)g(the)i(t)o(w)o(o)f(dashed)h(curv)o(es)g(lo)q(ok)f (similar,)d(they)k(refer)962 2173 y(to)d(v)o(ery)i(di\013eren)o(t)f (states.)h(In)f(Figures)g(2)p (#figure.2) [[458 195 463 207] [1 1 1 [3 3]] [0 0 1]] pdfm 16 w(and)f(3)p 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Fq(Magnetization)g(p)q(er)e (site)g(for)f Fe(p)h Fq(=)f(0)p Fe(:)p Fq(7)g(and)h Fe(B)i Fq(=)d(1.)g(F)m(ull)-125 1571 y(curv)o(es:)11 b(annealed.)h(Dashed)f (curv)o(es:)f(quenc)o(hed.)h(Middle)h(t)o(w)o(o)e(curv)o(es:)-125 1615 y(frozen)h(b)q(onds.)g(The)g(other)g(t)o(w)o(o)f(curv)o(es:)g (mobile)j(b)q(onds.)e Fe(M)756 1619 y Fm(max)825 1615 y Fq(=)f(0)p Fe(:)p Fq(3)-125 1660 y([Eq.)j(\(2)p (#equation.2) [[65 319 70 331] [1 1 1 [3 3]] [0 0 1]] pdfm (\)],)f (lattice)j(100)9 b Fd(\002)f Fq(100.)-125 1797 y Ft(generated)16 b(with)f(so)g(little)f(e\013ort,)h(ab)q(out)f(50)g(up)q(dates)i(p)q(er) f(site,)-125 1843 y(is)f(an)g(imp)q(ortan)o(t)e(practical)i(p)q(oin)o (t)f(of)g(this)h(w)o(ork.)-62 1891 y(By)i(con)o(trast,)g(in)f(the)h (case)h(with)f(frozen)g(b)q(onds,)g(there)h(ap-)-125 1938 y(p)q(ear)h(man)o(y)d(sites)j(with)f(t)o(w)o(o)g(comp)q(ensated)g (and)g(t)o(w)o(o)g(uncom-)-125 1985 y(p)q(ensated)d(b)q(onds,)e(making) d(the)j(spin)g(orien)o(tation)f(energetically)-125 2031 y(indi\013eren)o(t.)j(Man)o(y)f(of)g(the)i(corresp)q(onding)f (plaquettes)h(are)f(not)-125 2078 y(frustrated,)h(so)e(the)h(energy)h (di\013erence)g(relativ)o(e)e(to)g(the)i(ground)-125 2124 y(state)k(is)e(largely)g(due)i(to)e(trivial)f(\(amorphous\))h (disorder.)h(Be-)-125 2171 y(cause)12 b(of)f(this,)f(the)i (magnetization)c(of)j(the)g(frozen-b)q(ond)h(system)-125 2218 y(is)j(a)e(sum)h(of)f(\015uctuating)h(con)o(tributions)g(ev)o(en)h (at)f(lo)o(w)g(temp)q(er-)-125 2264 y(ature,)20 b(making)e(it)h (constan)o(t)i(in)e(time)g(only)g(on)g(the)i(a)o(v)o(erage,)-125 2311 y(while)d(the)h(magnetization)d(of)h(the)i(vitreous)f(\(quenc)o (hed\))i(sys-)-125 2358 y(tem)13 b(is)g(a)g(sum)g(of)f(spins)i(whic)o (h)f(are)h(individually)d(\014xed)j(in)f(time)-125 2404 y(for)k(the)g(lifetime)d(of)i(the)h(glass,)e(as)i(w)o(ould)e(b)q(e)i (the)g(case)h(for)e(all)-125 2451 y(times)e(with)h(a)g(p)q(erfect)h (Ising)f(ferromagnet)f(at)h(su\016cien)o(tly)f(lo)o(w)-125 2498 y(temp)q(erature.)-62 2546 y(Figure)i(4)p (#figure.4) [[89 106 94 118] [1 1 1 [3 3]] [0 0 1]] pdfm 15 w(sho)o(ws)g(the)h(magnetization.)c(F)m(or)i(a)h(frozen)g(b)q(ond) -125 2592 y(con\014guration,)k(it)f(barely)h(distinguishes)g(b)q(et)o (w)o(een)i(annealing)-125 2639 y(and)16 b(quenc)o(hing.)g(What)g(is)g (unexp)q(ected)i(is)e(the)h(di\013erence)h(b)q(e-)-125 2686 y(t)o(w)o(een)h(the)f(annealed)f(and)h(quenc)o(hed)h (magnetizations,)c(when)-125 2732 y(b)q(ond)j(mo)o(v)o(emen)o(t)d(is)i (allo)o(w)o(ed.)e(The)j(annealed)g(magnetization)-125 2779 y(at)f Fl(T)23 b Fj(\031)17 b Ft(0)g(is)g(higher)g(than)g(when)h (b)q(onds)f(are)h(frozen,)f(reason-)-125 2826 y(ably)e(enough.)f(The)i (quenc)o(hed)g(one,)f(ho)o(w)o(ev)o(er,)g(is)g(m)o(uc)o(h)e(lo)o(w)o (er,)-125 2872 y(indicating)e(a)h(system)g(in)g(whic)o(h)g(spin)g (orien)o(tation)g(is)g(con)o(trolled)962 124 y(b)o(y)i(an)h(in)o (ternal)g(\014eld.)f(It)h(is)g(v)o(ery)g(sensitiv)o(e)h(to)f(the)g Fl(T)1833 130 y Fr(0)1867 124 y Ft(scale)g(of)962 171 y(Fig.)e(1)p 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1344 y Fl(<)e(\034)386 1350 y Fg(\013)p Fr(2)440 1344 y Ft([MCS)p Fl(=)p Ft(site])o Fl(;)212 b Ft(\(6\))-125 1447 y(whic)o(h)20 b(w)o(e)g(\014nd)f(to)h(b)q(e)g (logarithmicall)o(y)d(correct)k(\(Fig.)d(6)p (#figure.6) [[268 370 273 382] [1 1 1 [3 3]] [0 0 1]] pdfm (\).)h(It) -125 1494 y(predicts)d Fl(\034)51 1500 y Fg(\013)p Fr(2)103 1494 y Fl(>)11 b Ft(5)e Fj(\002)h Ft(10)260 1479 y Fr(34)308 1494 y Ft(up)q(dates)15 b(p)q(er)g(site)f(at)g Fl(T)k Ft(=)11 b(0)p Fl(:)p Ft(05.)-62 1541 y(The)16 b(success)j(of)d(the)h (simple)e(estimate)g(\(6)p (#equation.6) [[218 347 223 359] [1 1 1 [3 3]] [0 0 1]] pdfm (\))i (indicates)f(that)-125 1587 y(the)i(algorithm)c(with)i(nearest-neigh)o (b)q(or)i(b)q(ond)f(di\013usion)f(real-)-125 1634 y(izes,)e(more)e(or)h (less,)g(the)h(maxima)o(l)c(time)i(scales)i(p)q(ossible)f(in)g(the)-125 1681 y(mo)q(del,)k(for)g(a)h(purely)g(kinetic)g(scenario.)h(But)f(it)g (also)f(implies)-125 1727 y(that)12 b(the)h(scenario)f(is)g(indeed)g (kinetic:)f(nothing)g(really)h(happ)q(ens)-125 1774 y(at)g Fl(T)-52 1780 y Fg(g)-33 1774 y Ft(,)g(except)g(that)g(a)f(time)g (scale)h(b)q(ecomes)g(to)q(o)f(long)f(to)i(follo)o(w.)-125 1821 y(This)f(is)f(the)h(reason)f(the)h(presen)o(t)h(approac)o(h)e(is)g (computationally)-125 1867 y(so)16 b(c)o(heap.)f(One)i(kno)o(ws)e(in)g (adv)n(ance)g(that,)g(sa)o(y)m(,)f Fl(\037)692 1873 y Fg(S)r(G)758 1867 y Ft(in)h(Fig.)f(5)p (#figure.5) [[287 269 292 281] [1 1 1 [3 3]] [0 0 1]] pdfm -125 1914 a(is)h(asymptotically)d(zero.)i(The)h(question)g(is,)f(for)g (what)g(dela)o(y)g([)p Fl(\034)-125 1960 y Ft(in)i(Eq.)g(\(4)p (#equation.4) [[77 247 82 259] [1 1 1 [3 3]] [0 0 1]] pdfm (\)])g(it)g (is)g(most)g(informativ)o(e)d(of)j(the)h(pro)q(cesses)i(in)d(the)-125 2007 y(system.)c(This)f(turns)i(out)f(to)f(b)q(e)i(fairly)d(mo)q(dest,) h Fj(\030)h Ft(10)743 1992 y Fr(3)772 2007 y Ft(up)q(dates)-125 2054 y(p)q(er)j(site.)f(By)g(then,)f(the)i(v)n(alue)e(of)g Fl(T)456 2060 y Fg(g)489 2054 y Ft(is)g(as)h(w)o(ell)f(established)h (as)-125 2100 y(for)g(10)-19 2085 y Fr(5)14 2100 y Ft(up)q(dates,)h (while)e(the)i Fl(\034)380 2106 y Fg(\013)418 2100 y Ft(for)f(most)g(of)f(the)i(higher)g(tem-)-125 2147 y(p)q(eratures)h (are)e(still)e(not)i(reac)o(hed,)g(giving)e(the)i(largest)g(p)q (ossible)-125 2194 y(range)h(in)f(temp)q(erature,)h(for)g(whic)o(h)f(0) f Fl(<)g(\037)576 2200 y Fg(S)r(G)638 2194 y Fl(<)g Ft(1.)h(Of)h (course,)-125 2240 y(there)e(is)d(a)h(highest)g(temp)q(erature,)g (where)h Fl(\034)569 2246 y Fg(\013)p Fr(2)621 2240 y Fj(!)f Fl(\034)692 2246 y Fg(\014)726 2240 y Fj(\031)h Ft(50.)e(This)-125 2287 y(is)15 b(just)g(the)h(melting)d(temp)q (erature)i Fl(T)486 2293 y Fr(0)505 2287 y Ft(:)g(exp\(4)p Fl(=T)677 2293 y Fr(0)696 2287 y Ft(\))e Fj(\031)g Ft(50)i(giv)o(es) -125 2334 y Fl(T)-101 2340 y Fr(0)-64 2334 y Fj(\031)i Ft(1,)g(as)g(found)g(in)g(Fig.)f(1)p (#figure.1) [[156 157 161 169] [1 1 1 [3 3]] [0 0 1]] pdfm (.)h(Ab)q (o)o(v)o(e)g(it,)g Fl(\037)613 2340 y Fg(S)r(G)680 2334 y Ft(is)g(zero)i(at)e(all)-125 2380 y(times.)-125 2510 y Fb(4.2)d(Aging)-125 2592 y Ft(After)21 b(the)g(initial)d(relaxation)h (has)h(passed,)g(the)h(sup)q(erco)q(oled)-125 2639 y(liquid/glass)14 b(sp)q(ends)i(a)f(long)f(time)g(in)h(a)g(state)h(whic)o(h)f(is)g(nomi-) -125 2686 y(nally)e(metastable,)f(since)i(its)g(energy)g(is)g(ab)q(o)o (v)o(e)f(that)h(of)f(the)h(an-)-125 2732 y(nealed)g(state)h(\(Fig.)d(1) p (#figure.1) [[121 61 126 73] [1 1 1 [3 3]] [0 0 1]] pdfm (\).)h(Ho)o (w)o(ev)o(er,)h(it)f(is)h(equilibrated)f(from)f(the)-125 2779 y(p)q(oin)o(t)g(of)g(view)g(of)f(correlations;)h(there)i(is)e(no)f (`aging')g([13)p (#cite.Kisker96) [[251 50 261 62] [1 1 1 [3 3]] [0 0 1]] pdfm -1 w(])g(in)h(the)-125 2826 y(metastable)e(state.)g(In)g(suc)o(h)h(a)f (quasi-equilibrium,)d(the)j(auto)q(cor-)-125 2872 y(relation)h (function)g(\(5)p (#equation.5) [[120 28 125 40] [1 1 1 [3 3]] [0 0 1]] pdfm (\))g(do)q (es)h(not)f(dep)q(end)i(on)e(c)o(hoice)g(of)g(origin)f Fl(t)p 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y(in)o(to)j(the)i(sup)q(erco)q(oled)h(region)e(\(b)q(elo)o(w)h Fl(T)1644 1757 y Fr(0)1663 1751 y Ft(\),)f(and)g(then)h(slo)o(wly)962 1798 y(co)q(oled)e(through)g Fl(T)1275 1804 y Fg(g)1294 1798 y Ft(,)g(in)f(steps)i(of)e(0)p Fl(:)p Ft(02.)g(W)m(e)g(lo)q(ok)g (at)h(the)g(time)962 1845 y(ev)o(olution)11 b(leading)h(to)g (quasi-equilibration)e(\(not)j(after)f(it,)g(as)g(in)962 1891 y(the)f(study)g(of)f Fl(\037)1211 1897 y Fg(S)r(G)1261 1891 y Ft(\).)g(After)h(the)g(temp)q(erature)g(is)f(brough)o(t)h(to)f (the)962 1938 y(desired)h(v)n(alue,)f(a)g(120)r Fj(\002)r Ft(120)f(lattice)h(is)h(sub)r(ject)g(to)g(7)p Fl(:)p Ft(2)r Fj(\002)r Ft(10)1899 1923 y Fr(6)1927 1938 y Ft(spin)962 1984 y(trials,)e(in)o(terlaced)i(with)f(the)h(same)e(n)o(um)o(b)q(er)h (of)g(b)q(ond)g(trials.)f(The)962 2031 y(principal)18 b(quan)o(tit)o(y)f(monitored)g(is)i(the)g(n)o(um)o(b)q(er)f(of)g (accepted)962 2078 y(relaxation)f(steps,)j Fk(i.e.)e Ft(those)h(in)f(whic)o(h)h(the)g(energy)g(c)o(hanges)962 2124 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y(that)h(regime,)e(or)h(the)h(correlation)f(function) g(in)g(Fig.)f(6)p (#figure.6) [[252 375 257 387] [1 1 1 [3 3]] [0 0 1]] pdfm (.)h(Nev)o (er-)-125 1470 y(theless,)i(the)f(ab)q(o)o(v)o(e)f(argumen)o(t)g (implies)e(that)j(the)g(app)q(earance)-125 1516 y(of)i(a)g(p)q(oin)o (t,)f(where)i(the)g(zero-\014eld)g(and)f(\014nite-\014eld)g(suscepti-) -125 1563 y(bilities)d(cross,)h(is)g(generic)g(for)g(the)g(sup)q(erco)q (oled)h(liquid)d(in)h(this)-125 1609 y(mo)q(del,)h(and)i(will)e(alw)o (a)o(ys)h(b)q(e)i(presen)o(t)g(for)f(times)f(b)q(et)o(w)o(een)i Fl(\034)892 1615 y Fg(\014)-125 1656 y Ft(and)e Fl(\034)-23 1662 y Fg(\013)1 1656 y Ft(.)f(Since)h Fl(\034)158 1662 y Fg(\014)198 1656 y Ft(is)f(so)h(short,)g(it)g(can)g(b)q(e)g(observ)o (ed)h(without)-125 1703 y(large)c(n)o(umerical)e(e\013ort.)-62 1751 y(There)i(are)g(t)o(w)o(o)f(things)g(to)g(note.)h(First,)f(the)h (criterion)g(for)f(a)-125 1797 y(sup)q(erco)q(oled)18 b(b)q(ond)e(liquid)e(implies)g(\(mildly\))f(parado)o(xical)i(b)q(e-) -125 1844 y(ha)o(vior:)k(the)h(b)q(onds)f(`w)o(aiting)f(to)h(break)h (out')f(mak)o(e)f(the)i(sus-)-125 1890 y(ceptibilit)o(y)15 b Fk(de)n(cr)n(e)n(ase)k Ft(in)c(resp)q(onse)i(to)f(an)f(applied)g (\014eld,)g(when)-125 1937 y Fl(T)26 b(<)19 b(T)0 1943 y Fg(`)16 1937 y Ft(.)f(The)h(\014eld)g(has)f(a)g(net)h(disorganizing)f (e\013ect)i(on)e(the)-125 1984 y(spins,)d(b)q(ecause)h(it)d(prob)q(es)j (the)f(con\014gurational)e(metastabilit)o(y)-125 2030 y(of)i(the)h(sup)q(erco)q(oled)h(liquid.)c(Put)j(simply)m(,)c(the)k (uniform)d(exter-)-125 2077 y(nal)c(\014eld)h(is)f(in)h(comp)q(etition) e(with)h(the)h(sto)q(c)o(hastic)h(in)o(ternal)e(\014eld,)-125 2124 y(holding)k(the)i(spins)f(in)f(p)q(osition)g(for)h Fl(T)k(<)11 b(T)578 2130 y Fg(`)595 2124 y Ft(.)-62 2171 y(Second,)16 b(the)h(glass)f(itself)g(is)g(de\014ned)h(only)f(quan)o (titativ)o(ely)m(,)-125 2218 y(as)c(the)h(manifold)c(of)i(states)i (found)f(on)g(that)g(part)g(of)f(the)i(co)q(oling)-125 2265 y(curv)o(e)19 b(of)e(the)i(sup)q(erco)q(oled)g(liquid,)d(where)i Fl(\037)628 2271 y Fg(S)r(G)678 2265 y Fl(=V)27 b Ft(saturates)-125 2311 y(at)15 b(unit)o(y)m(.)d(A)j(qualitativ)o(e)d(c)o(haracterization) j(of)f Fl(T)671 2317 y Fg(g)705 2311 y Ft(is)g(not)g(to)g(b)q(e)-125 2358 y(exp)q(ected,)j(on)d(general)h(grounds.)g(In)g(this)g(con)o (text,)g(the)g(switc)o(h)-125 2405 y(from)j(circles)i(to)f(squares)h (in)f(Figure)g(5)p (#figure.5) [[194 140 199 152] [1 1 1 [3 3]] [0 0 1]] pdfm 18 w(ma)o(y)f(b)q(e)h(in)o(terpreted,)-125 2451 y(that)12 b(if)f(one)h(tak)o(es)h(a)e(`snapshot')g(of)h(the)g(system)g(b)q(elo)o (w)f Fl(T)794 2457 y Fg(`)822 2451 y Ft(at)h(an)-125 2498 y(arbitrary)k(p)q(oin)o(t)e(in)h(time,)f(no)h(analysis)f(of)h (that)g(one)h(snapshot)-125 2545 y(can)f(tell,)e(whether)i(it)e(w)o(as) h(tak)o(en)g(ab)q(o)o(v)o(e)g(or)g(b)q(elo)o(w)f Fl(T)738 2551 y Fg(g)758 2545 y Ft(.)-62 2592 y(It)i(is)h(easily)f(sho)o(wn)g (that)h(the)g(maxim)o(al)o(ly)c(frustrated)17 b(\(vit-)-125 2639 y(reous\))g(b)q(ond)e(arrangemen)o(ts,)g(found)g(b)o(y)g(the)h (quenc)o(hing)g(algo-)-125 2686 y(rithm,)i(are)i(a)f(v)o(ery)h(small)d (subset)k(of)d(all)h(p)q(ossible)g(ones.)h(F)m(or)-125 2732 y(a)12 b(state)h(to)f(b)q(e)g(maxima)o(ll)o(y)d(frustrated,)k (uncomp)q(ensated)f(b)q(onds)-125 2779 y(m)o(ust)f(b)q(e)g(singletons,) g(lik)o(e)f(in)h(Fig.)f(2)p (#figure.2) [[175 50 180 62] [1 1 1 [3 3]] [0 0 1]] pdfm (,)g(eac)o(h) i(w)o(ell)e(separated)i(from)-125 2826 y(the)21 b(others)g(b)o(y)e(a)h (`la)o(y)o(er')e(of)i(comp)q(ensated)g(ones,)g(e\013ectiv)o(ely)-125 2872 y(`using)c(up')f Fl(q)h(>)f Ft(1)h(b)q(ond)g(p)q(ositions)f(for)h (eac)o(h)g(singleton.)f(Th)o(us)962 124 y(uncomp)q(ensated)f(b)q(onds)f (can)h(c)o(ho)q(ose)g(only)f(among)e(some)h(2)p Fl(V)5 b(=q)962 171 y Ft(p)q(ositions,)14 b(less)h(than)g(all)f(2)p Fl(V)24 b Ft(a)o(v)n(ailable)13 b(ones.)i(The)g(n)o(um)o(b)q(er)f(of) 962 217 y(distinct)i(states)h(is)f(largest)g(when)h(the)g(n)o(um)o(b)q (er)e(of)g(uncomp)q(en-)962 264 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b(large.)g(Energetically)m(,)g(the)h(vitreous)g(states)g(are)962 961 y(w)o(ell)f(separated)i(from)d(the)j(bulk)e(of)h(the)g(arbitrary)g (ones,)g(witness)962 1008 y(Fig.)g(1)p (#figure.1) [[323 475 328 487] [1 1 1 [3 3]] [0 0 1]] pdfm (.)i(They)g (corresp)q(ond)h(to)f(the)g(`deep)h(and)f(narro)o(w')f(minim)o(a)962 1054 y(of)k(glass)h(theory)m(.)g(In)g(fact,)g(since)h(their)g(energy)g (is)f(determined)962 1101 y(b)o(y)f(the)g(n)o(um)o(b)q(er)f(of)h (singletons,)f(Eq.)h(8)p (#equation.8) [[451 453 456 465] [1 1 1 [3 3]] [0 0 1]] pdfm 16 w(is)g(also)f(their)i(degener-)962 1148 y(acy)m(,)c(`exp)q(onen)o (tially)f(large',)h(as)h(the)g(general)h(picture)f(assumes.)962 1194 y(Since)f(the)g(algorithm)d(is)i(trapp)q(ed)h(in)f(only)g(one)h (of)e(them)h(during)962 1241 y(an)o(y)g(giv)o(en)g(run)h(\(Fig.)e(6)p (#figure.6) [[389 419 394 431] [1 1 1 [3 3]] [0 0 1]] pdfm (\),)h(one) h(has)f(`breaking)g(of)g(ergo)q(dicit)o(y')g([2)p (#cite.Angell95) [[545 419 550 431] [1 1 1 [3 3]] [0 0 1]] pdfm -1 w(])962 1288 y(for)h(times)g(less)i(than)f Fl(\034)1328 1294 y Fg(\013)1351 1288 y Ft(.)1024 1334 y(Let)e(us)f(summarize)e(the) i(analogies)f(b)q(et)o(w)o(een)j(our)e(to)o(y)f(mo)q(del)962 1381 y(and)h(vitreous)g(liquids.)f(Bond)h(and)g(spin)h(mo)o(v)o(emen)o (t)c(corresp)q(ond)962 1427 y(to)19 b(the)g(con\014gurational)f(and)h (orien)o(tational)f(degrees)j(of)d(free-)962 1474 y(dom,)d(resp)q (ectiv)o(ely)m(.)i(The)h(di\013usivit)o(y)e(of)h(b)q(ond)g(mo)o(v)o (emen)o(t)d(re-)962 1521 y(\015ects)j(the)f(absence)h(of)e(a)g(kinetic) g(energy)i(con)o(tribution)e(to)g(the)962 1567 y(glass)i(transition.)g (The)h(sup)q(erco)q(oled)h(b)q(ond)f(liquid)e(turns)i(in)o(to)962 1614 y(a)i(glass)g(if)f(con\014gurational)g(rearrangemen)o(ts)i(are)f (arti\014cially)962 1661 y(turned)i(o\013.)e(Spin)h(disorder)g(c)o (hanges)h(v)o(ery)f(little)f(across)i(the)962 1707 y(glass)15 b(transition,)g(but)h(spin)g(mo)o(v)o(emen)o(t)d(ceases)k(there,)g(as)e (w)o(ell)962 1754 y(as)g(all)e(relaxation.)h(Con\014gurational)f(\(b)q (ond\))i(rattling)f(p)q(ersists)962 1801 y(to)e(lo)o(w)o(est)g(temp)q (eratures.)h(Somewhat)d(ab)q(o)o(v)o(e)i(our)g(original)f(am-)962 1847 y(bitions,)h(the)i(zero-\014eld)g(glass)f(transition)g(in)g(the)h (mo)q(del)d(o)q(ccurs)962 1894 y(at)16 b(ab)q(out)h(one-third)f(the)i (melting)c(temp)q(erature,)j Fl(T)1821 1900 y Fg(g)1857 1894 y Fj(\031)f Fl(T)1929 1900 y Fr(0)1948 1894 y Fl(=)p Ft(3,)962 1941 y(an)d(old)h(rule)g(of)f(th)o(um)o(b)f(in)i(glass)g (formers)f([1)p (#cite.Kauzmann48) [[470 251 475 263] [1 1 1 [3 3]] [0 0 1]] pdfm -1 w(].)962 2085 y Fn(6)h(Conclusion)962 2173 y Ft(W)m(e)e(ha)o(v)o(e)g (realized)g(a)g(structural)h(spin)f(glass)g(in)g(the)h(t)o(w)o(o)e (dimen-)962 2219 y(sional)19 b(b)q(ond-disordered)i(Ising)f(mo)q(del)f (on)h(a)f(square)i(lattice,)962 2266 y(b)o(y)12 b(taking)f(in)o(to)h (accoun)o(t)h(only)f(a)g(small)e(subset)k(of)e(impurit)o(y)e(ar-)962 2313 y(rangemen)o(ts.)h(This)g(subset)i(w)o(as)e(generated)i(b)o(y)f(a) f(quenc)o(hing)h(al-)962 2359 y(gorithm)c(whic)o(h)i(imitated)e (vitri\014cation)h(in)h(liquids,)e(b)o(y)i(allo)o(wing)962 2406 y(di\013usion)h(of)h(impurit)o(y)e(b)q(onds)i(o)o(v)o(er)g(the)h (lattice.)e(The)i(crosso)o(v)o(er)962 2452 y(b)q(et)o(w)o(een)18 b(the)g(glassy)f(and)g(high-temp)q(erature)g(\(melted\))g(state)962 2499 y(w)o(as)11 b(iden)o(ti\014ed)h(as)g(a)f(sup)q(erco)q(oled)j (liquid.)9 b(T)m(o)i(distinguish)h(from)962 2546 y(customary)j(usage)h (of)g(the)g(term)f(`spin)h(glass',)f(and)g(to)h(empha-)962 2592 y(size)g(our)g(glass)f(is)h(kinetic,)f(not)h(thermo)q(dynamic,)d (w)o(e)j(prop)q(ose)962 2639 y(the)g(terms)f(`b)q(ond)g(glass')g(and)g (`sup)q(erco)q(oled)i(b)q(ond)e(liquid',)e(re-)962 2686 y(sp)q(ectiv)o(ely)m(.)k(A)g(macroscopic)g(criterion)g(w)o(as)g(sho)o (wn)g(to)g(distin-)962 2732 y(guish)i(the)h(sup)q(erco)q(oled)h(liquid) d(from)g(the)i(amorphous)e(solid,)962 2779 y(connected)g(to)f(the)g (ground-state)h(manifold)c(b)o(y)i(slo)o(w)g(co)q(oling,)962 2826 y(whic)o(h)11 b(is)g(this)g(mo)q(del's)e(analogue)i(of)f(the)i (crystal)f(state)h(of)f(vitre-)962 2872 y(ous)j(liquids.)f(The)i (criterion)g(mak)o(es)f(it)g(p)q(ossible)g(to)h(study)g(\014eld)p eop %%Page: 9 9 9 8 bop 257 8 a Fq(Predrag)14 b(Lazi)o(\023)-18 b(c,)14 b(D.)e(K.)h(Sunk)o(o:)h(Vitri\014cation)h(in)f(a)f(2D)g(Ising)h(mo)q (del)g(with)g(mobile)h(b)q(onds)364 b(9)-125 124 y Ft(and)12 b(temp)q(erature)g(h)o(ysteretic)h(e\013ects)h(on)e(the)g(formation)d (of)i(the)-125 171 y(sup)q(erco)q(oled)16 b(b)q(ond)e(liquid.)-125 322 y Fn(7)h(Ackno)n(wledgements)-125 415 y Ft(Con)o(v)o(ersations)23 b(with)e(K.)h(Uzelac)h(and)f(S.)f(Bari)n(\024)-19 b(si)o(\023)f(c,)22 b(and)g(one)-125 462 y(with)15 b(M.)g(M)o(\023)-20 b(ezard,)16 b(are)f(gratefully)f(ac)o(kno)o(wledged.)h(This)g(w)o(ork)-125 508 y(w)o(as)c(supp)q(orted)g(b)o(y)f(the)h(Croatian)f(Go)o(v)o(ernmen) o(t)f(under)i(Pro)r(ject)-125 555 y(119)c(204.)-125 706 y Fn(References)-105 797 y Fq(1.)20 b(W.)13 b(Kauzmann,)h(Chem.)f(Rev.) g Ff(43)g Fq(\(1948\))g(219.)-105 842 y(2.)20 b(C.A.)12 b(Angell,)i(Science)h Ff(267)e Fq(\(1995\))g(1924.)-105 886 y(3.)20 b(K.)13 b(Binder,)h(Rev.)f(Mo)q(d.)g(Ph)o(ys.)g Ff(58)g Fq(\(1986\))h(802.)-105 930 y(4.)20 b(A.P)m(.)8 b(Y)m(oung,)h(J.D.)g(Reger)g(and)h(K.)e(Binder,)i(in)g Fo(The)g(Monte)f(Carlo)-55 975 y(Metho)n(d)h(in)h(Condense)n(d)d (Matter)j(Physics)p Fq(,)d(K.)h(Binder,)j(ed.,)e(T)m(op-)-55 1019 y(ics)k(in)g(Applied)h(Ph)o(ysics,)f(v)o(ol.)f(71,)g(Springer)i (1995,)e(p.)g(355.)-105 1064 y(5.)20 b(G.)13 b(T)m(oulouse,)h(Comm)o (un.)f(Ph)o(ys.)g Ff(2)g Fq(\(1977\))g(115.)-105 1108 y(6.)20 b(R.N.)10 b(Bhatt)i(and)f(A.P)m(.)f(Y)m(oung,)h(Ph)o(ys.)g (Rev.)g(B)g Ff(37)g Fq(\(1988\))g(5606.)-105 1152 y(7.)20 b(G.H.)d(F)m(rederic)o(kson)i(and)f(H.C.)e(Andersen,)j(Ph)o(ys.)e(Rev.) h(Lett.)-55 1197 y Ff(53)13 b Fq(\(1984\))h(1244.)-105 1241 y(8.)20 b(A.)13 b(Coniglio,)i(Prog.)e(Th.)f(Ph)o(ys.)h(Suppl.)i Ff(126)e Fq(\(1997\))h(281.)-105 1286 y(9.)20 b(V.)c(Cataudella,)i(G.)e (F)m(ranzese,)g(M.)g(Nico)q(demi,)i(A.)d(Scala,)j(and)-55 1330 y(A.)13 b(Coniglio,)i(Ph)o(ys.)e(Rev.)g(E)g Ff(54)g Fq(\(1996\))g(175.)-125 1375 y(10.)21 b(R.)11 b(Sc)o(hmitz,)h(J.W.)f (Duft)o(y)m(,)g(P)m(.)f(De,)h(Ph)o(ys.)h(Rev.)f(Lett.)g Ff(71)g Fq(\(1993\))-55 1419 y(2066.)-125 1463 y(11.)21 b(E.E.)10 b(V)m(ogel,)h(S.)g(Con)o(treras,)g(M.A.)e(Osorio,)j(J.)e (Cartes,)g(F.)g(Nieto,)-55 1508 y(and)k(A.J.)e(Ram)l(\023)-15 b(\020rez-P)o(astor,)14 b(Ph)o(ys.)f(Rev.)g(B)g Ff(58)g Fq(\(1998\))h(8475.)-125 1552 y(12.)21 b(S.F.)c(Edw)o(ards)h(and)g(P)m (.W.)f(Anderson,)h(J.)e(Ph)o(ys.)i(F.)f Ff(5)g Fq(\(1975\))-55 1597 y(965.)-125 1641 y(13.)k(J.)d(Kisk)o(er,)i(L.)e(San)o(ten,)h(M.)g (Sc)o(hrec)o(k)o(en)o(b)q(erg,)h(and)f(H.)g(Rieger,)-55 1685 y(Ph)o(ys.)14 b(Rev.)f(B)g Ff(53)g Fq(\(1996\))g(6418.)p eop %%Trailer end end userdict /end-hook known{end-hook}if %%EOF