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 language | English |
|---|---|
| Article number | 011105 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 79 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 5 Jan 2009 |
| Externally published | Yes |
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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 journal › Article
}
TY - JOUR
T1 - Stochastic deformation of a thermodynamic symplectic structure
AU - Kazinski, P. O.
PY - 2009/1/5
Y1 - 2009/1/5
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=58949091753&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.79.011105
DO - 10.1103/PhysRevE.79.011105
M3 - Article
AN - SCOPUS:58949091753
VL - 79
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
SN - 1539-3755
IS - 1
M1 - 011105
ER -