1,330 research outputs found
The Legendre Transform in Non-additive Thermodynamics and Complexity
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".Comment: 23 pages. LaTeX2e. No figure
- …