Equilibrium description of a particle system in a heat bath

Diego Bricio Hernandez; Michele Pavon

doi:10.1007/BF01307215

Equilibrium description of a particle system in a heat bath

Diego Bricio Hernandez, Michele Pavon

Mathematics

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

Abstract

An N particle system evolving in 3-space under the action of a friction force, an external potential and a fluctuating force is studied, using the Langevin equation. Necessary and sufficient conditions are given for both (a) the existence and (b) the Maxwell-Boltzmann character of an invariant measure. Both probabilistic and system theoretical tools play an important part in this study. In addition, the general results mentioned above are applied to the study of a system of n oscillators coupled through velocity, with a first-neighbour-only type of interaction.

Original language	English (US)
Pages (from-to)	239-258
Number of pages	20
Journal	Acta Applicandae Mathematicae
Volume	14
Issue number	3
DOIs	https://doi.org/10.1007/BF01307215
State	Published - Mar 1989

Keywords

AMS Subject Classifications (1980): 82A30, 82A05, 93B05, 93E15, 60J65
controllability
invariant measure
Langevin equation
Statistical physics
stochastic stability

ASJC Scopus subject areas

Applied Mathematics

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10.1007/BF01307215

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N2 - An N particle system evolving in 3-space under the action of a friction force, an external potential and a fluctuating force is studied, using the Langevin equation. Necessary and sufficient conditions are given for both (a) the existence and (b) the Maxwell-Boltzmann character of an invariant measure. Both probabilistic and system theoretical tools play an important part in this study. In addition, the general results mentioned above are applied to the study of a system of n oscillators coupled through velocity, with a first-neighbour-only type of interaction.

AB - An N particle system evolving in 3-space under the action of a friction force, an external potential and a fluctuating force is studied, using the Langevin equation. Necessary and sufficient conditions are given for both (a) the existence and (b) the Maxwell-Boltzmann character of an invariant measure. Both probabilistic and system theoretical tools play an important part in this study. In addition, the general results mentioned above are applied to the study of a system of n oscillators coupled through velocity, with a first-neighbour-only type of interaction.

KW - AMS Subject Classifications (1980): 82A30, 82A05, 93B05, 93E15, 60J65

KW - controllability

KW - invariant measure

KW - Langevin equation

KW - Statistical physics

KW - stochastic stability

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Equilibrium description of a particle system in a heat bath

Abstract

Keywords

ASJC Scopus subject areas

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