Is Tsallis thermodynamics nonextensive? Academic Article

abstract

• Within the Tsallis thermodynamics framework, and using scaling properties of the entropy, we derive a generalization of the Gibbs-Duhem equation. The analysis suggests a transformation of variables that allows standard thermodynamics to be recovered. Moreover, we also generalize Einstein's formula for the probability of a fluctuation to occur by means of the maximum statistical entropy method. The use of the proposed transformation of variables also shows that fluctuations within Tsallis statistics can be mapped to those of standard statistical mechanics.

authors

• Mahapatra, Rupak
• Yennello, Sherry

published proceedings

• Phys Rev Lett

author list (cited authors)

• Vives, E., & Planes, A.

citation count

• 43

complete list of authors

• Vives, Eduard||Planes, Antoni

publication date

• January 2002

publisher

• American Physical Society (APS)  Publisher

published in

• Physical Review Letters  Journal

keywords

• 51 Physical Sciences
• 5103 Classical Physics

PubMed Central ID

• 11800999

Digital Object Identifier (DOI)

• 10.1103/PhysRevLett.88.020601

URI

• https://hdl.handle.net/1969.1/180499

start page

• 020601

end page

• 218016

volume

• 88

issue

• 2

URL

• http://dx.doi.org/10.1103/physrevlett.88.020601