Family of additive entropy functions out of thermodynamic limit
Gorban, Alexander N. and Karlin, Ilya V. (2003) Family of additive entropy functions out of thermodynamic limit. Physical Review E, 67, (01), 016104-[7pp.]. (doi:10.1103/PhysRevE.67.016104).
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We derive a one-parametric family of entropy functions that respect the additivity condition, and which describe effects of finiteness of statistical systems, in particular, distribution functions with long tails. This one-parametric family is different from the Tsallis entropies, and is a convex combination of the Boltzmann-Gibbs-Shannon entropy and the entropy function proposed by Burg. An example of how longer tails are described within the present approach is worked out for the canonical ensemble. We also discuss a possible origin of a hidden statistical dependence, and give explicit recipes on how to construct corresponding generalizations of the master equation.
|Subjects:||T Technology > TA Engineering (General). Civil engineering (General)
H Social Sciences > HA Statistics
|Divisions:||University Structure - Pre August 2011 > School of Engineering Sciences > Thermofluids and Superconductivity
|Date Deposited:||26 Oct 2007|
|Last Modified:||27 Mar 2014 18:32|
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