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Canonical operator formulation of nonequilibrium thermodynamics

Abstract

A novel formulation of nonequilibrium thermodynamics is proposed which emphasises the fundamental role played by the Boltzmann constant k in fluctuations. The equivalence of this and the stochastic formulation is demonstrated. The k {yields} 0 limit of this theory yields the classical deterministic description of nonequilibrium thermodynamics. The new formulation possesses unique features which bear two important results namely the thermodynamic uncertainty principle and the quantisation of entropy production rate. Such a theory becomes indispensable whenever fluctuations play a significant role. (author). 7 refs.
Authors:
Publication Date:
Sep 01, 1992
Product Type:
Technical Report
Report Number:
IC-92/297
Reference Number:
SCA: 661300; PA: AIX-24:008147; SN: 93000932887
Resource Relation:
Other Information: PBD: Sep 1992
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; THERMODYNAMICS; FLUCTUATIONS; BOLTZMANN STATISTICS; CANONICAL TRANSFORMATIONS; ENTROPY; QUANTIZATION; 661300; OTHER ASPECTS OF PHYSICAL SCIENCE
OSTI ID:
10119492
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE93613028; TRN: XA9233085008147
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[19] p.
Announcement Date:
Jun 30, 2005

Citation Formats

Mehrafarin, M. Canonical operator formulation of nonequilibrium thermodynamics. IAEA: N. p., 1992. Web.
Mehrafarin, M. Canonical operator formulation of nonequilibrium thermodynamics. IAEA.
Mehrafarin, M. 1992. "Canonical operator formulation of nonequilibrium thermodynamics." IAEA.
@misc{etde_10119492,
title = {Canonical operator formulation of nonequilibrium thermodynamics}
author = {Mehrafarin, M}
abstractNote = {A novel formulation of nonequilibrium thermodynamics is proposed which emphasises the fundamental role played by the Boltzmann constant k in fluctuations. The equivalence of this and the stochastic formulation is demonstrated. The k {yields} 0 limit of this theory yields the classical deterministic description of nonequilibrium thermodynamics. The new formulation possesses unique features which bear two important results namely the thermodynamic uncertainty principle and the quantisation of entropy production rate. Such a theory becomes indispensable whenever fluctuations play a significant role. (author). 7 refs.}
place = {IAEA}
year = {1992}
month = {Sep}
}