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A remark on the choice of stochastic transition rates in driven nonequilibrium systems

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arxiv cond-mat/0407262 v3 pith:4MSIUL4X submitted 2004-07-10 cond-mat.stat-mech

classification cond-mat.stat-mech
keywords transitionbalanceconditioncorrelationdetaileddrivenlongnonequilibrium
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abstract

We study nonequilibrium steady states of the driven lattice gas with two particles, using the most general stochastic transition rules that satisfy the local detailed balance condition. We observe that i) the universal $1/r^d$ long range correlation may be found already in the two-particle models, but ii) the magnitude (or even the existence/absence) of the long range correlation depends crucially on the rule for transition rates. The latter is in stark contrast with equilibrium dynamics, where all rules give essentially the same results provided that the detailed balance condition is satisfied.

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Cited by 4 Pith papers

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  3. Convection Patterns in Nonequilibrium Kawasaki Dynamics at Low Temperature

    cond-mat.stat-mech 2025-12 conditional novelty 6.0 of 10

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  4. Nonequilibrium chemical potentials of steady-state lattice gas models in contact: A large-deviations approach

    cond-mat.stat-mech 2019-09 conditional novelty 6.0 of 10

    For driven lattice gases in slow contact, chemical potentials can be defined only if the contact dynamics factorizes and obeys macroscopic detailed balance, and they fail to obey an equation of state.

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