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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Autores principales: Albano, Ezequiel Vicente, Luque, Luciana Melina, Trobo, Marta Liliana, Binder, Kurt
Formato: Articulo
Lenguaje:Inglés
Publicado: 2017
Materias:
Ciencias Astronómicas
Wetting
Transitions
Hyperscaling
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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SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-99219
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection 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
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