From Random Motion of Hamiltonian Systems to Boltzmann’s H Theorem and Second Law of Thermodynamics: a Pathway by Path Probability

From Random Motion of Hamiltonian Systems to Boltzmann’s H Theorem and Second Law of Thermodynamics: a Pathway by Path Probability

A numerical experiment of ideal stochastic motion of a particle subject to conservative forces and Gaussian noise reveals that the path probability depends exponentially on action. This distribution implies a fundamental principle generalizing the least action principle of the Hamiltonian/Lagrangian...

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Bibliographic Details
Main Authors: Qiuping A. Wang, Aziz El Kaabouchiu
Format: Article
Language:English
Published: MDPI AG 2014-02-01
Series:Entropy
Subjects:
statistical mechanics
random motion
path probability
least action
Online Access:http://www.mdpi.com/1099-4300/16/2/885

Internet

http://www.mdpi.com/1099-4300/16/2/885

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