Statistical Mechanics for Unstable States in Gel'fand Triplets and Investigations of Parabolic Potential Barriers

Details Statistical Mechanics for Unstable States in Gel'fand Triplets and Investigations of Parabolic Potential Barriers Statistical Mechanics for Unstable States in Gel'fand Triplets and Investigations of Parabolic Potential Barriers

2000-09-11

arxiv.org/abs/cond-mat/0009142v1

Physics

Condensed Matter

Statistical Mechanics

14 pages, AmS-LaTeX, no figure

Scientific paper

10.1103/PhysRevE.63.056101

Free energies and other thermodynamical quantities are investigated in canonical and grand canonical ensembles of statistical mechanics involving unstable states which are described by the generalized eigenstates with complex energy eigenvalues in the conjugate space of Gel'fand triplet. The theory is applied to the systems containing parabolic potential barriers (PPB's). The entropy and energy productions from PPB systems are studied. An equilibrium for a chemical process described by reactions $A+CB\rightleftarrows AC+B$ is also discussed.

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