Nonequilibrium statistical operator method in Renyi statistics

The generalization of the Zubarev nonequilibrium statistical operator (NSO) method for the case of Renyi statistics is proposed when the relevant statistical operator (or distribution function) is obtained based on the maximum entropy principle for the Renyi entropy. The nonequilibrium statistical o...

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Bibliographic Details
Published in:Physica A 2011-03, Vol.390 (5), p.785-791
Main Authors: Markiv, B.B., Tokarchuk, R.M., Kostrobij, P.P., Tokarchuk, M.V.
Format: Article
Language:English
Subjects:
Entropy
Fluid dynamics
Fluid flow
Hydrodynamics
Maximum entropy
Nonequilibrium statistical operator (method)
Operators
Renyi entropy
Statistical mechanics
Statistics
Transport equations
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Summary:The generalization of the Zubarev nonequilibrium statistical operator (NSO) method for the case of Renyi statistics is proposed when the relevant statistical operator (or distribution function) is obtained based on the maximum entropy principle for the Renyi entropy. The nonequilibrium statistical operator and corresponding generalized transport equations for the reduced-description parameters are obtained. A consistent description of the kinetic and hydrodynamic processes in a system of interacting particles is considered as an example. ► The Zubarev nonequilibrium statistical operator method is generalized for the case of Renyi statistics. ► The nonequilibrium statistical operator describing the nonequilibrium state of the system is derived. ► The generalized transport equations for a consistent description of kinetic and hydrodynamic processes in a system of interacting particles are obtained.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2010.11.009