The Legendre Transform in Non-additive Thermodynamics and Complexity
Statistical Mechanics
2017-08-02 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Physics
Abstract
We present an argument which purports to show that the use of the standard Legendre transform in non-additive Statistical Mechanics is not appropriate. For concreteness, we use as paradigm, the case of systems which are conjecturally described by the (non-additive) Tsallis entropy. We point out the form of the modified Legendre transform that should be used, instead, in the non-additive thermodynamics induced by the Tsallis entropy. We comment on more general implications of this proposal for the thermodynamics of "complex systems".
Keywords
Cite
@article{arxiv.1704.08508,
title = {The Legendre Transform in Non-additive Thermodynamics and Complexity},
author = {Nikolaos Kalogeropoulos},
journal= {arXiv preprint arXiv:1704.08508},
year = {2017}
}
Comments
23 pages. LaTeX2e. No figures