Stochastic deformation of a thermodynamic symplectic structure

P. O. Kazinski

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

A stochastic deformation of a thermodynamic symplectic structure is studied. The stochastic deformation is analogous to the deformation of an algebra of observables such as deformation quantization, but for an imaginary deformation parameter (the Planck constant). Gauge symmetries of thermodynamics and corresponding stochastic mechanics, which describes fluctuations of a thermodynamic system, are revealed and gauge fields are introduced. A physical interpretation to the gauge transformations and gauge fields is given. An application of the formalism to a description of systems with distributed parameters in a local thermodynamic equilibrium is considered.

Original languageEnglish
Article number011105
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume79
Issue number1
DOIs
Publication statusPublished - 5 Jan 2009
Externally publishedYes

Fingerprint

Symplectic Structure
Thermodynamics
thermodynamics
Gauge Field
Deformation Quantization
Local Equilibrium
Thermodynamic Equilibrium
Gauge Symmetry
Gauge Transformation
local thermodynamic equilibrium
Mechanics
Fluctuations
algebra
Algebra
formalism
symmetry

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Stochastic deformation of a thermodynamic symplectic structure. / Kazinski, P. O.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 79, No. 1, 011105, 05.01.2009.

Research output: Contribution to journalArticle

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