Nonequilibrium steady states for a class of particle systems

Research output: Contribution to journalArticle

Abstract

This paper contains rigorous results on nonequilibrium steady states for a class of particle systems coupled to unequal heat baths. These stochastic models are derived from the mechanical chains studied by Eckmann and Young by randomizing certain quantities while retaining other features of the model. Our results include the existence and uniqueness of nonequilibrium steady states, their relation to Lebesgue measure, tail bounds on total energy and number of particles in the system, and exponential convergence to steady states from suitable initial conditions.

Original languageEnglish (US)
Pages (from-to)607-636
Number of pages30
JournalNonlinearity
Volume27
Issue number3
DOIs
StatePublished - Mar 2014

Fingerprint

Nonequilibrium Steady State
Particle System
Stochastic models
Heat Bath
Exponential Convergence
Lebesgue Measure
Unequal
Stochastic Model
Tail
Existence and Uniqueness
Initial conditions
uniqueness
retaining
baths
Energy
heat
Class
Hot Temperature
Model
energy

Keywords

  • coupling
  • energy exchange
  • Lyapunov functions
  • nonequilibrium steady states
  • particle systems

ASJC Scopus subject areas

  • Applied Mathematics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Nonequilibrium steady states for a class of particle systems. / Li, Yao; Young, Lai-Sang.

In: Nonlinearity, Vol. 27, No. 3, 03.2014, p. 607-636.

Research output: Contribution to journalArticle

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