Published December 20, 2002
| Version v1
Journal article
On the most concise set of axioms and the uniqueness theorem for Tsallis entropy
Creators
- 1. Department of Information and Image Sciences, Faculty of Engineering, Chiba University, 1-33, Yayoi-cho, Inage-ku, Chiba-shi, Chiba (Japan)
Description
We present the most concise set of axioms for Tsallis entropy, and rigorously prove the uniqueness theorem. This set of axioms consists of only two distinct additivities: pseudoadditivity and Shannon additivity. We then compare our axioms with the axioms presented by Santos. The peculiarity of pseudoadditivity as an axiom for Tsallis entropy is also discussed
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/35/10731/a25004.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/35/10731/a25004.pdf; http://www.iop.org/;
- PII
- S0305-4470(02)38518-4;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 35
- Journal Issue
- 50
- Journal Page Range
- p. 10731-10738
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 34023283
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- AXIOMATIC FIELD THEORY; ENTROPY; INFORMATION THEORY; MATHEMATICAL LOGIC; MATHEMATICAL MODELS
- Descriptors DEC
- FIELD THEORIES; PHYSICAL PROPERTIES; QUANTUM FIELD THEORY; THERMODYNAMIC PROPERTIES