Jump to ContentJump to Main Navigation
Non-equilibrium Thermodynamics and Statistical MechanicsFoundations and Applications$
Users without a subscription are not able to see the full content.

Phil Attard

Print publication date: 2012

Print ISBN-13: 9780199662760

Published to Oxford Scholarship Online: January 2013

DOI: 10.1093/acprof:oso/9780199662760.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2018. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see www.oxfordscholarship.com/page/privacy-policy).date: 09 December 2018

Non-Equilibrium Statistical Mechanics

Non-Equilibrium Statistical Mechanics

(p.233) Chapter 8 Non-Equilibrium Statistical Mechanics
Non-equilibrium Thermodynamics and Statistical Mechanics

Phil Attard

Oxford University Press

Non-equilibrium statistical mechanics is formulated from the non-equilibrium probability density in phase space. This is the exponential of the associated reservoir entropy, which is shown to consist of a static and a dynamic part. Both the fluctuation form and the explicit formally exact form involving the prior work are given. The second entropy is used to analyse the transition probability, the stochastic dissipative equations of motion, and the time correlation function. The non-equilibrium fluctuation dissipation theorem is established for phase space. The non-equilibrium probability density is shown to obey explicitly the Fokker-Planck equation. Irreversibility and the change in entropy on a trajectory are discussed. The odd projection of the dynamic part of the reservoir entropy is analysed in detail. An expression for the path entropy is obtained, and from this the fluctuation and work theorems are derived.

Keywords:   non-equilibrium, statistical mechanics, transition probability, stochastic, trajectory, fluctuation dissipation theorem, work theorem

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .