Numerical evidence of hyperscaling violation in wetting transitions of the random-bond Ising model in d = 2 dimensions
We performed extensive simulations of the random-bond Ising model confined between walls where competitive surface fields act. By properly taking the thermodynamic limit we unambiguously determined wetting transition points of the system, as extrapolation of localization-delocalization transitions o...
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2017
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Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/99219 https://ri.conicet.gov.ar/11336/48074 https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.022801#fulltext |
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I19-R120-10915-99219 |
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Universidad Nacional de La Plata |
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I-19 |
repository_str |
R-120 |
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SEDICI (UNLP) |
language |
Inglés |
topic |
Ciencias Astronómicas Wetting Transitions Hyperscaling |
spellingShingle |
Ciencias Astronómicas Wetting Transitions Hyperscaling Albano, Ezequiel Vicente Luque, Luciana Melina Trobo, Marta Liliana Binder, Kurt Numerical evidence of hyperscaling violation in wetting transitions of the random-bond Ising model in d = 2 dimensions |
topic_facet |
Ciencias Astronómicas Wetting Transitions Hyperscaling |
description |
We performed extensive simulations of the random-bond Ising model confined between walls where competitive surface fields act. By properly taking the thermodynamic limit we unambiguously determined wetting transition points of the system, as extrapolation of localization-delocalization transitions of the interface between domains of different orientation driven by the respective fields. The finite-size scaling theory for wetting with short-range fields establishes that the average magnetization of the sample, with critical exponent β, is the proper order parameter for the study of wetting. While the hyperscaling relationship given by γ+2β=ν +ν requires β=1/2 (γ=4, ν =3, and ν =2), the thermodynamic scaling establishes that Δs=γ+β, which in contrast requires β=0 (Δs=4), where γ, ν, ν, and Δs are the critical exponents of the susceptibility, the correlation lengths parallel and perpendicular to the interface, and the gap exponent, respectively. So, we formulate a finite-size scaling theory for wetting without hyperscaling and perform numerical simulations that provide strong evidence of hyperscaling violation (i.e., β=0) and a direct measurement of the susceptibility critical exponent γ/ν =2.0±0.2, in agreement with theoretical results for the strong fluctuation regime of wetting transitions with quenched noise. |
format |
Articulo Articulo |
author |
Albano, Ezequiel Vicente Luque, Luciana Melina Trobo, Marta Liliana Binder, Kurt |
author_facet |
Albano, Ezequiel Vicente Luque, Luciana Melina Trobo, Marta Liliana Binder, Kurt |
author_sort |
Albano, Ezequiel Vicente |
title |
Numerical evidence of hyperscaling violation in wetting transitions of the random-bond Ising model in d = 2 dimensions |
title_short |
Numerical evidence of hyperscaling violation in wetting transitions of the random-bond Ising model in d = 2 dimensions |
title_full |
Numerical evidence of hyperscaling violation in wetting transitions of the random-bond Ising model in d = 2 dimensions |
title_fullStr |
Numerical evidence of hyperscaling violation in wetting transitions of the random-bond Ising model in d = 2 dimensions |
title_full_unstemmed |
Numerical evidence of hyperscaling violation in wetting transitions of the random-bond Ising model in d = 2 dimensions |
title_sort |
numerical evidence of hyperscaling violation in wetting transitions of the random-bond ising model in d = 2 dimensions |
publishDate |
2017 |
url |
http://sedici.unlp.edu.ar/handle/10915/99219 https://ri.conicet.gov.ar/11336/48074 https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.022801#fulltext |
work_keys_str_mv |
AT albanoezequielvicente numericalevidenceofhyperscalingviolationinwettingtransitionsoftherandombondisingmodelind2dimensions AT luquelucianamelina numericalevidenceofhyperscalingviolationinwettingtransitionsoftherandombondisingmodelind2dimensions AT trobomartaliliana numericalevidenceofhyperscalingviolationinwettingtransitionsoftherandombondisingmodelind2dimensions AT binderkurt numericalevidenceofhyperscalingviolationinwettingtransitionsoftherandombondisingmodelind2dimensions |
bdutipo_str |
Repositorios |
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1764820493081247746 |