Statistical mechanics based on Renyi entropy

Statistical mechanics based on Renyi entropy

In this work we show that it is possible to obtain a generalized statistical mechanics (thermostatistics) based on Renyi entropy, to be maximized with adequate constraints. The equilibrium probability distribution thus obtained has a very interesting property. Indeed, it reminds us the statistical d...

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Bibliographic Details
Published in:Physica A Vol. 280; no. 3; pp. 337 - 345
Main Authors: Lenzi, E.K., Mendes, R.S., da Silva, L.R.
Format: Journal Article
Language:English
Published: Elsevier B.V 01-06-2000
Subjects:
05.30.−d
05.70.Ce
05.20.−y
05.30.Ch
Online Access:Get full text
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Summary:In this work we show that it is possible to obtain a generalized statistical mechanics (thermostatistics) based on Renyi entropy, to be maximized with adequate constraints. The equilibrium probability distribution thus obtained has a very interesting property. Indeed, it reminds us the statistical distribution proposed by Tsallis, known to conveniently describe a variety of phenomena in nonextensive systems. Moreover, some examples are worked out in order to illustrate the main features of the herein introduced formalism.
ISSN:0378-4371
1873-2119
DOI:10.1016/S0378-4371(00)00007-8