Dynamical and stationary critical behavior of the Ising ferromagnet in a thermal gradient
In this paper we present and discuss results of Monte Carlo numerical simulations of the two-dimensional Ising ferromagnet in contact with a heat bath that intrinsically has a thermal gradient. The extremes of the magnet are at temperatures T₁ < T<sub>c</sub> < T₂, where T c is the...
Guardado en:
Autores principales: | , |
---|---|
Formato: | Articulo Preprint |
Lenguaje: | Inglés |
Publicado: |
2012
|
Materias: | |
Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/132663 |
Aporte de: |
id |
I19-R120-10915-132663 |
---|---|
record_format |
dspace |
institution |
Universidad Nacional de La Plata |
institution_str |
I-19 |
repository_str |
R-120 |
collection |
SEDICI (UNLP) |
language |
Inglés |
topic |
Ciencias Exactas Física Statistical and Nonlinear Physics |
spellingShingle |
Ciencias Exactas Física Statistical and Nonlinear Physics Muglia, Juan Albano, Ezequiel Vicente Dynamical and stationary critical behavior of the Ising ferromagnet in a thermal gradient |
topic_facet |
Ciencias Exactas Física Statistical and Nonlinear Physics |
description |
In this paper we present and discuss results of Monte Carlo numerical simulations of the two-dimensional Ising ferromagnet in contact with a heat bath that intrinsically has a thermal gradient. The extremes of the magnet are at temperatures T₁ < T<sub>c</sub> < T₂, where T c is the Onsager critical temperature. In this way one can observe a phase transition between an ordered phase (T < T<sub>c</sub>) and a disordered one (T > T<sub>c</sub>) by means of a single simulation. By starting the simulations with fully disordered initial configurations with magnetization m ≡ 0 corresponding to T = ∞, which are then suddenly annealed to a preset thermal gradient, we study the short-time critical dynamic behavior of the system. Also, by setting a small initial magnetization m = mₒ, we study the critical initial increase of the order parameter. Furthermore, by starting the simulations from fully ordered configurations, which correspond to the ground state at T = 0 and are subsequently quenched to a preset gradient, we study the critical relaxation dynamics of the system. Additionally, we perform stationary measurements (t → ∞) that are discussed in terms of the standard finite-size scaling theory. We conclude that our numerical simulation results of the Ising magnet in a thermal gradient, which are rationalized in terms of both dynamic and standard scaling arguments, are fully consistent with well established results obtained under equilibrium conditions. |
format |
Articulo Preprint |
author |
Muglia, Juan Albano, Ezequiel Vicente |
author_facet |
Muglia, Juan Albano, Ezequiel Vicente |
author_sort |
Muglia, Juan |
title |
Dynamical and stationary critical behavior of the Ising ferromagnet in a thermal gradient |
title_short |
Dynamical and stationary critical behavior of the Ising ferromagnet in a thermal gradient |
title_full |
Dynamical and stationary critical behavior of the Ising ferromagnet in a thermal gradient |
title_fullStr |
Dynamical and stationary critical behavior of the Ising ferromagnet in a thermal gradient |
title_full_unstemmed |
Dynamical and stationary critical behavior of the Ising ferromagnet in a thermal gradient |
title_sort |
dynamical and stationary critical behavior of the ising ferromagnet in a thermal gradient |
publishDate |
2012 |
url |
http://sedici.unlp.edu.ar/handle/10915/132663 |
work_keys_str_mv |
AT mugliajuan dynamicalandstationarycriticalbehavioroftheisingferromagnetinathermalgradient AT albanoezequielvicente dynamicalandstationarycriticalbehavioroftheisingferromagnetinathermalgradient |
bdutipo_str |
Repositorios |
_version_ |
1764820454212632576 |