Additive generalization of the Boltzmann entropy
Additive generalization of the Boltzmann entropy
There exists a unique extension of the classical Boltzmann entropy functional to a one-parametric family of additive trace-form entropy functionals. We find the analytical solution to the corresponding deformation of the classical ensembles, and present an example of the deformation of the uncorrelated state caused by finiteness of the number of particles.
67104
Gorban, A.N.
3b4ae629-6486-47c8-9d6c-6d89a9985dd5
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Ottinger, H.C.
d55d7165-ee2d-4878-a095-e2b6d13d1a8c
June 2003
Gorban, A.N.
3b4ae629-6486-47c8-9d6c-6d89a9985dd5
Karlin, I.V.
3f0e01a2-c4d9-4210-9ef3-47e6c426cc8a
Ottinger, H.C.
d55d7165-ee2d-4878-a095-e2b6d13d1a8c
Gorban, A.N., Karlin, I.V. and Ottinger, H.C.
(2003)
Additive generalization of the Boltzmann entropy.
Physical Review E, 67 (6), .
(doi:10.1103/PhysRevE.67.067104).
Abstract
There exists a unique extension of the classical Boltzmann entropy functional to a one-parametric family of additive trace-form entropy functionals. We find the analytical solution to the corresponding deformation of the classical ensembles, and present an example of the deformation of the uncorrelated state caused by finiteness of the number of particles.
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Published date: June 2003
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Local EPrints ID: 49168
URI: http://eprints.soton.ac.uk/id/eprint/49168
ISSN: 1063-651X
PURE UUID: 3485258b-0a95-4284-b506-292f5989e79a
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Date deposited: 24 Oct 2007
Last modified: 15 Mar 2024 09:54
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Author:
A.N. Gorban
Author:
I.V. Karlin
Author:
H.C. Ottinger
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