Finite-range scaling study of the 1D long-range Ising model (CROSBI ID 123028)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Glumac, Zvonko ; Uzelac, Katarina
engleski
Finite-range scaling study of the 1D long-range Ising model
The critical behaviour of the one-dimensional Ising model with long-range ferromagnetic interactions decaying with distance r as 1/r1+ sigma has been studied by scaling the range of interactions. Exact calculations have been done for a system with finite ranges up to the tenth neighbour for 0< sigma <or=1. Applying the range scaling, the critical temperature, critical exponent nu and the anomalous dimension of the order parameter have been calculated. Additional analysis of the convergence of the method has been performed by applying the Vanden Broeck and Schwartz extrapolation procedure in addition to the simple least-squares approximation and by evaluating the convergence exponents.
finite-range scaling ; Ising ; long-range interactions ; 1D
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Podaci o izdanju
22 (20)
1989.
4439-4452
objavljeno
0305-4470
1361-6447
10.1088/0305-4470/22/20/020