Canonical deformations of surfaces of equilibrium states in thermodynamic phase space

Details Canonical deformations of surfaces of equilibrium states in thermodynamic phase space Canonical deformations of surfaces of equilibrium states in thermodynamic phase space

Aug 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000phrve..62.1790j&link_type=abstract

Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 62, Issue 2, August 2000,

Mathematics

Dynamical Systems

Thermodynamics, Other Topics In Statistical Physics, Thermodynamics, And Nonlinear Dynamical Systems, Thermodynamic Processes, Conduction, Convection, Equations Of State

Scientific paper

Deformations of submanifolds of thermodynamic equilibrium states introduced by continuous contact maps on a phase-space manifold are considered in terms of the geometrical formulation of thermodynamics. The notion of a contact Hamiltonian is recalled in order to give some possible physical interpretations of such a function in terms of statistical quantities describing initial and deformed systems. Using contact flows we propose a very efficient method for constructing continuous families of thermodynamic systems. A few examples show the possible advantages of using contact Hamiltonians.

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