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

Preprint

6 September 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0009078

Abstract

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.

Keywords

THERMODYNAMICAL STRUCTURES
ROBUST THERMODYNAMICAL
LAGRANGE MULTIPLIERS
TRANSFORM STRUCTURE
LEGENDRE TRANSFORM
ARBITRARY ENTROPY
ENTROPY FORM
ENERGY MEAN

All Related Versions

Version 1, 2000-09-06, ArXiv
Published version: Zeitschrift für Physik B Condensed Matter, 18 (1), 103.

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