Local thermodynamic equilibrium for some stochastic models of hamiltonian origin

K. Ravishankar; Lai Sang Young

doi:10.1007/s10955-007-9335-8

Local thermodynamic equilibrium for some stochastic models of hamiltonian origin

K. Ravishankar, Lai Sang Young

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider a class of 1-D stochastic models that are realizations of Hamiltonian models of heat conduction and prove that in the infinite volume limit local thermodynamic equilibrium is attained with linear energy profile.

Original language	English (US)
Pages (from-to)	641-665
Number of pages	25
Journal	Journal of Statistical Physics
Volume	128
Issue number	3
DOIs	https://doi.org/10.1007/s10955-007-9335-8
State	Published - Aug 2007

Keywords

Hamiltonian systems
Interacting particle systems
Local thermodynamic equilibrium
Martingales
Random walks
Scaling limits

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Local thermodynamic equilibrium for some stochastic models of hamiltonian origin",

abstract = "We consider a class of 1-D stochastic models that are realizations of Hamiltonian models of heat conduction and prove that in the infinite volume limit local thermodynamic equilibrium is attained with linear energy profile.",

keywords = "Hamiltonian systems, Interacting particle systems, Local thermodynamic equilibrium, Martingales, Random walks, Scaling limits",

author = "K. Ravishankar and Young, {Lai Sang}",

year = "2007",

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KW - Martingales

KW - Random walks

KW - Scaling limits

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