Exact field-driven interface dynamics in the two-dimensional stochastic Ising model with helicoidal boundary conditions


Autoria(s): Mendonca, J. Ricardo G.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

21/08/2013

21/08/2013

2012

Resumo

We investigate the interface dynamics of the two-dimensional stochastic Ising model in an external field under helicoidal boundary conditions. At sufficiently low temperatures and fields, the dynamics of the interface is described by an exactly solvable high-spin asymmetric quantum Hamiltonian that is the infinitesimal generator of the zero range process. Generally, the critical dynamics of the interface fluctuations is in the Kardar-Parisi-Zhang universality class of critical behavior. We remark that a whole family of RSOS interface models similar to the Ising interface model investigated here can be described by exactly solvable restricted high-spin quantum XXZ-type Hamiltonians. (C) 2012 Elsevier B.V. All rights reserved.

Brazilian agency CNPq [PDS 151999/2010-4]

Brazilian agency CNPq

Identificador

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, AMSTERDAM, v. 391, n. 24, supl., Part 3, pp. 6463-6469, DEC 15, 2012

0378-4371

http://www.producao.usp.br/handle/BDPI/32642

10.1016/j.physa.2012.07.069

http://dx.doi.org/10.1016/j.physa.2012.07.069

Idioma(s)

eng

Publicador

ELSEVIER SCIENCE BV

AMSTERDAM

Relação

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

Direitos

closedAccess

Copyright ELSEVIER SCIENCE BV

Palavras-Chave #STOCHASTIC ISING MODEL #BETHE ANSATZ #RSOS GROWTH MODEL #ZERO RANGE PROCESS #EXCLUSION PROCESS #XXZ QUANTUM CHAIN #KPZ UNIVERSALITY CLASS #ZERO-RANGE PROCESS #DIMENSIONAL LATTICE GASES #NONEQUILIBRIUM DYNAMICS #EXCLUSION PROCESS #ARBITRARY SIZE #DIFFUSION #GROWTH #PARTICLE #SYSTEMS #MOTION #PHYSICS, MULTIDISCIPLINARY
Tipo

article

original article

publishedVersion