Non-universal dynamics of staggered non-equilibrium particle systems and Ising chains

Non-universal dynamics is shown to occur in a one-dimensional non-equilibrium system of hard-core particles. The stochastic processes included are pair creation and annihilation (with rates e and e') and symmetric hopping rates which alternate from one bond to the next (Pa, Pb). A dynamical sca...

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Autores principales: Stinchcombe, Robin, Santos, Jaime E., Grynberg, Marcelo Daniel
Formato: Articulo
Lenguaje:Inglés
Publicado: 1998
Materias:
Física
Condensed matter physics
Interacting particle system
Fermion
Quantum mechanics
Statistical physics
Master equation
Particle system
Dispersion relation
Exponent
Steady state
Ising model
Correlation function (statistical mechanics)
Stochastic process
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/122911
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-122911
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Condensed matter physics
Interacting particle system
Fermion
Quantum mechanics
Statistical physics
Master equation
Particle system
Dispersion relation
Exponent
Steady state
Ising model
Correlation function (statistical mechanics)
Stochastic process
spellingShingle Física
Condensed matter physics
Interacting particle system
Fermion
Quantum mechanics
Statistical physics
Master equation
Particle system
Dispersion relation
Exponent
Steady state
Ising model
Correlation function (statistical mechanics)
Stochastic process
Stinchcombe, Robin
Santos, Jaime E.
Grynberg, Marcelo Daniel
Non-universal dynamics of staggered non-equilibrium particle systems and Ising chains
topic_facet Física
Condensed matter physics
Interacting particle system
Fermion
Quantum mechanics
Statistical physics
Master equation
Particle system
Dispersion relation
Exponent
Steady state
Ising model
Correlation function (statistical mechanics)
Stochastic process
description Non-universal dynamics is shown to occur in a one-dimensional non-equilibrium system of hard-core particles. The stochastic processes included are pair creation and annihilation (with rates e and e') and symmetric hopping rates which alternate from one bond to the next (Pa, Pb). A dynamical scaling relation between the relaxation time and the correlation length in the steady state is derived in a simple way for the case e' > Pa >> Pb >> e. We find that the dynamical exponent takes the non-universal value z = 2 ln(e'/e) / ln[(Pb e')/(Pa e)]. For the special condition e + e'= Pa + Pb, where the stochastic system is in principle soluble by reduction to a free fermion system, the model is mapped to the Glauber dynamics of an Ising chain with alternating ferromagnetic bonds of values J1 and J2, in contact with a quantum thermal bath. The full time dependence of the space-dependent magnetization and of the equal time spin-spin correlation function are studied by writing the master equation for this system in the quantum Hamiltonian formalism. In particular we obtain the dispersion relations and rigorously confirm the results obtained for the correlation length and for the dynamical exponent.
format Articulo
Articulo
author Stinchcombe, Robin
Santos, Jaime E.
Grynberg, Marcelo Daniel
author_facet Stinchcombe, Robin
Santos, Jaime E.
Grynberg, Marcelo Daniel
author_sort Stinchcombe, Robin
title Non-universal dynamics of staggered non-equilibrium particle systems and Ising chains
title_short Non-universal dynamics of staggered non-equilibrium particle systems and Ising chains
title_full Non-universal dynamics of staggered non-equilibrium particle systems and Ising chains
title_fullStr Non-universal dynamics of staggered non-equilibrium particle systems and Ising chains
title_full_unstemmed Non-universal dynamics of staggered non-equilibrium particle systems and Ising chains
title_sort non-universal dynamics of staggered non-equilibrium particle systems and ising chains
publishDate 1998
url http://sedici.unlp.edu.ar/handle/10915/122911
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