On the robust thermodynamical structures against arbitrary entropy form and energy mean value

Details On the robust thermodynamical structures against arbitrary entropy form and energy mean value On the robust thermodynamical structures against arbitrary entropy form and energy mean value

2000-09-06

arxiv.org/abs/cond-mat/0009078v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, no figures, svjour.sty, to be published in Euro.Phys.J.B

Scientific paper

10.1007/s100510070083

We discuss that the thermodynamical Legendre transform structure can be retained not only for the arbitrary entropic form but also for the arbitrary form of the energy constraints by following the discussion of Plastino and Plastino. The thermodynamic relation between the expectation values and the conjugate Lagrange multipliers are seen to be universal. Furthermore, Gibbs' fundamental equation is shown to be unaffected by the choice of the entropy and the definition of the mean values due to the robustness of the Legendre transform structure.

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