Distributions and channel capacities in generalized statistical mechanics
Distributions and channel capacities in generalized statistical mechanics
The purpose of this note is twofold. Firstly, we consider generalizations of Shannon's entropy and its application to thermodynamics based on extensivity considerations. Secondly, we apply the generalized entropy formalism to deriving various generalized channel capacities. We arrive at some surprising conclusions of systems achieving "super-capacitance" or "sub-capacitance" depending on the circumstances. These results suggest the possibility of improving the conventional Shannon capacity by using physical systems obeying more generalized statistics, but also predict behaviour which is hard to reconcile with experience.
211-217
Landsberg, P.T.
430ba980-a590-4d7c-8c03-9ecf192c21d3
Vedral, V.
03967f4d-6ba1-4c49-8b10-0dc83e4f8546
1998
Landsberg, P.T.
430ba980-a590-4d7c-8c03-9ecf192c21d3
Vedral, V.
03967f4d-6ba1-4c49-8b10-0dc83e4f8546
Landsberg, P.T. and Vedral, V.
(1998)
Distributions and channel capacities in generalized statistical mechanics.
Physics Letters A, 247 (3), .
(doi:10.1016/S0375-9601(98)00500-3).
Abstract
The purpose of this note is twofold. Firstly, we consider generalizations of Shannon's entropy and its application to thermodynamics based on extensivity considerations. Secondly, we apply the generalized entropy formalism to deriving various generalized channel capacities. We arrive at some surprising conclusions of systems achieving "super-capacitance" or "sub-capacitance" depending on the circumstances. These results suggest the possibility of improving the conventional Shannon capacity by using physical systems obeying more generalized statistics, but also predict behaviour which is hard to reconcile with experience.
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Published date: 1998
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Local EPrints ID: 29483
URI: http://eprints.soton.ac.uk/id/eprint/29483
ISSN: 0375-9601
PURE UUID: 996ebf8f-a042-48cb-84f6-bef2f02a208c
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Date deposited: 12 Mar 2007
Last modified: 15 Mar 2024 07:32
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Author:
P.T. Landsberg
Author:
V. Vedral
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