Amb motiu del tancament d'estiu, la validació de documents es reprendrà a partir del 28 d'agost de 2026. Disculpeu les molèsties.
Con motivo del cierre de verano, la validación de documentos se reanudará a partir del 28 de agosto de 2026. Disculpad las molestias
Due to the summer closure, document validation will resume starting August 28, 2026. We apologize for any inconvenience.

Files

501964.pdf (1.76 MB)

Document type

Article

Version

Published version

Publication date

1989

All rights reserved

Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/9565

Nonequilibrium Ising models with competing, reaction-diffusion dynamics

Journal Title

Authors

Director/Tutor

Journal ISSN

Volume Title

Related resource

http://dx.doi.org/10.1103/PhysRevA.40.5802

Abstract

We study the phase diagram and other general macroscopic properties of an interacting spin (or particle) system out of equilibrium, namely, a reaction-diffusion Ising model whose time evolution occurs as a consequence of a combination of spin-flip (Glauber) and spin-exchange (Kawasaki) processes. The Glauber rate at site x when the configuration is s, say c(s;x), satisfies detailed balance at a reciprocal temperature β, while the Kawasaki rate for the interchange between nearest-neighbor sites x and y, Γc(s;x,y), satisfies detailed balance at temperature β’. We derive hydrodynamic-type macroscopic equations from the stochastic microscopic model for β’,β≥0 and large Γ when time and space are rescaled by Γ and √Γ , respectively, and study the homogeneous steady solutions of those equations when Γ→∞. We state some general theorems for β’=0 and solve explicitly the model with different choices c(s;x) for systems of arbitrary dimension d when β’=0 and also for d=1 when β’≠0. We also describe new Monte Carlo data for finite Γ, β’=0, and d=1,2. The latter suggests, in particular, the existence of phase transitions for d=1, finite Γ, and some choices for c(s;x).

Subject

Transformacions de fase (Física estadística), Teoria dels reticles, Termodinàmica, Processos irreversibles, Model d'Ising

Subject (English)

Phase transformations (Statistical physics), Lattice theory, Thermodynamics, Irreversible processes, Ising model

Citation

Collections

Articles publicats en revistes (Física de la Matèria Condensada)

Citation

GARRIDO, Pedro L., MARRO, Joaquín and GONZÁLEZ-MIRANDA, J. M. (Jesús Manuel). Nonequilibrium Ising models with competing, reaction-diffusion dynamics. Physical Review A. 1989. Vol. 40, num. 10, pags. 5802 - 5814. ISSN 0953-8984. [consulted: 18 of August of 2026]. Available at: https://hdl.handle.net/2445/9565

Export metadata

JSON - METS

Share record