Stochastic deformation of a thermodynamic symplectic structure
arXiv:0809.0233 · doi:10.1103/PhysRevE.79.011105
Abstract
A stochastic deformation of a thermodynamic symplectic structure is studied. The stochastic deformation procedure is analogous to the deformation of an algebra of observables like 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.
22 pages, revtex preprint style; some notations changed and references added; some formulas and comments added
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