Stochastic deformation of a thermodynamic symplectic structure

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Kazinski, P. O.;
  • Identifiers: doi: 10.1103/PhysRevE.79.011105
  • Subject: Condensed Matter - Statistical Mechanics | High Energy Physics - Theory
    arxiv: High Energy Physics::Lattice

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)... View more
  • References (81)
    81 references, page 1 of 9

    [1] J.W. Gibbs, The Collected Works Vol. I: Thermodynamics (Longmans, Green and Co., New York, 1928).

    [2] C. Carath´eodory, Untersuchungen ueber die Grundlagen der Thermodynamik, Math. Ann. 67, 355 (1909).

    [3] A. Land´e, Axiomatische Begru¨ndung der Thermodynamik durch Carath´eodory (Springer-Verlag, Berlin, 1926).

    [4] T. Ehrenfest-Afanassjewa, Die Grundlagen der Thermodynamik (E. J. Brill, Leiden, 1956).

    [5] L. Tisza, Generalized Thermodynamics (MIT Press, Cambridge, Massachusetts, 1966).

    [6] J.M. Jauch, On a new foundation of equilibrium thermodynamics, Found. Phys. 2, 327 (1972); Analytical thermodynamics. Part I. Thermostatics - general theory, Found. Phys. 5, 111 (1975).

    [7] H.B. Callen, Thermodynamics and Introduction to Thermostatistics (John Wiley & Sons, Singapore, 1985).

    [8] R. Hermann, Geometry, Physics and Systems (Marcel Dekker, New York, 1973).

    [9] F. Weinhold, Metric geometry of equilibrium thermodynamics, J. Chem. Phys. 63, 2479 (1975).

    [10] P. Salamon, E. Ihrig, and R.S. Berry, A group of coordinate transformations which preserve the metric of Weinhold, J. Math. Phys. 24, 2515 (1983). gases, arXiv:0807.4632v1.

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