Fluctuation relations and the foundations of statistical thermodynamics: a deterministic approach and numerical demonstration

Reid, James C., Williams, Stephen R., Searles, Debra J., Rondoni, Lamberto and Evans, Denis J. (2013). Fluctuation relations and the foundations of statistical thermodynamics: a deterministic approach and numerical demonstration. In Rainer Klages, Wolfram Just and Christopher Jarzynski (Ed.), Nonequilibrium statistical physics of small systems: fluctuation relations and beyond (pp. 57-82) Weinheim, Germany: Wiley-VCH Verlag. doi:10.1002/9783527658701.ch2


Author Reid, James C.
Williams, Stephen R.
Searles, Debra J.
Rondoni, Lamberto
Evans, Denis J.
Title of chapter Fluctuation relations and the foundations of statistical thermodynamics: a deterministic approach and numerical demonstration
Title of book Nonequilibrium statistical physics of small systems: fluctuation relations and beyond
Place of Publication Weinheim, Germany
Publisher Wiley-VCH Verlag
Publication Year 2013
Sub-type Research book chapter (original research)
DOI 10.1002/9783527658701.ch2
ISBN 9783527410941
9783527658701
Editor Rainer Klages
Wolfram Just
Christopher Jarzynski
Chapter number 2
Start page 57
End page 82
Total pages 26
Total chapters 13
Abstract/Summary The fluctuation theorem and the work relation are exact nonequilibrium thermodynamic relations developed almost two decades ago. In the intervening time, these relations have been applied to prove a number of new theorems, including the dissipation theorem, the relaxation theorem, the maximum likelihood estimator, and various phase function representations. They can also be applied to provide a proof of Boltzmann's postulate of equal a priori probability and a proof of the relationship between the phase space volume, the physical volume, the energy, and the thermodynamic entropy and temperature for the equilibrium microcanonical ensemble. Here, we take one of the systems used to study these relations, the optical trapping system, and demonstrate the various results for one conceptually simple system.
Q-Index Code BX
Q-Index Status Confirmed Code
Institutional Status UQ

 
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