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Pregled bibliografske jedinice broj: 1050702

The Transport Speed and Optimal Work in Pulsating Frenkel–Kontorova Models

Slijepčević, Siniša; Rabar, Braslav
The Transport Speed and Optimal Work in Pulsating Frenkel–Kontorova Models // Communications in mathematical physics, 371 (2019), 399-423 doi:10.1007/s00220-019-03577-3 (međunarodna recenzija, članak, znanstveni)

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Naslov
The Transport Speed and Optimal Work in Pulsating Frenkel–Kontorova Models

Autori
Slijepčević, Siniša ; Rabar, Braslav

Izvornik
Communications in mathematical physics (0010-3616) 371 (2019); 399-423

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Frenkel-Kontovora model, Transport processes, Ratchet dynamics, Pumping, Attractor, Invariant measures

Sažetak
We consider a generalized one-dimensional chain in a periodic potential (the Frenkel–Kontorova model), with dissipative, pulsating (or ratchet) dynamics as a model of transport when the average force on the system is zero. We find lower bounds on the transport speed under mild assumptions on the asymmetry and steepness of the site potential. Physically relevant applications include explicit estimates of the pulse frequencies and mean spacings for which the transport is non-zero, and more specifically the pulse frequencies which maximize work. The bounds explicitly depend on the pulse period and subtle number-theoretical properties of the mean spacing. The main tool is the study of time evolution of spatially invariant measures in the space of measures equipped with the 𝐿1-Wasserstein metric.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
HRZZ-IP-2014-09-2285 - Geometrijska, ergodička i topološka analiza nisko-dimenzionalnih dinamičkih sustava (GETDYN) (Slijepčević, Siniša, HRZZ - 2014-09) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Braslav Rabar (autor)

Avatar Url Siniša Slijepčević (autor)

Poveznice na cjeloviti tekst rada:

doi link.springer.com doi.org

Citiraj ovu publikaciju:

Slijepčević, Siniša; Rabar, Braslav
The Transport Speed and Optimal Work in Pulsating Frenkel–Kontorova Models // Communications in mathematical physics, 371 (2019), 399-423 doi:10.1007/s00220-019-03577-3 (međunarodna recenzija, članak, znanstveni)
Slijepčević, S. & Rabar, B. (2019) The Transport Speed and Optimal Work in Pulsating Frenkel–Kontorova Models. Communications in mathematical physics, 371, 399-423 doi:10.1007/s00220-019-03577-3.
@article{article, author = {Slijep\v{c}evi\'{c}, Sini\v{s}a and Rabar, Braslav}, year = {2019}, pages = {399-423}, DOI = {10.1007/s00220-019-03577-3}, keywords = {Frenkel-Kontovora model, Transport processes, Ratchet dynamics, Pumping, Attractor, Invariant measures}, journal = {Communications in mathematical physics}, doi = {10.1007/s00220-019-03577-3}, volume = {371}, issn = {0010-3616}, title = {The Transport Speed and Optimal Work in Pulsating Frenkel–Kontorova Models}, keyword = {Frenkel-Kontovora model, Transport processes, Ratchet dynamics, Pumping, Attractor, Invariant measures} }
@article{article, author = {Slijep\v{c}evi\'{c}, Sini\v{s}a and Rabar, Braslav}, year = {2019}, pages = {399-423}, DOI = {10.1007/s00220-019-03577-3}, keywords = {Frenkel-Kontovora model, Transport processes, Ratchet dynamics, Pumping, Attractor, Invariant measures}, journal = {Communications in mathematical physics}, doi = {10.1007/s00220-019-03577-3}, volume = {371}, issn = {0010-3616}, title = {The Transport Speed and Optimal Work in Pulsating Frenkel–Kontorova Models}, keyword = {Frenkel-Kontovora model, Transport processes, Ratchet dynamics, Pumping, Attractor, Invariant measures} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

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  • MathSciNet

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