Published November 16, 2001
| Version v1
Journal article
The world according to Renyi: Thermodynamics of fractal systems
Creators
- 1. Institute of Theoretical Physics, University of Tsukuba, Ibaraki, 305-8571 (Japan)
Description
We discuss a basic thermodynamic properties of systems with multifractal structure. This is possible by extending the notion of Gibbs-Shannon's entropy into more general framework-Renyi's information entropy. We show a connection of Renyi's parameter q with the multifractal singularity spectrum f(α) and clarify a relationship with the Tsallis-Havrda-Charvat entropy. Finally, we generalize Hagedorn's statistical theory and apply it to high-energy particle collisions
Additional details
Identifiers
- DOI
- 10.1063/1.1427481;
- arXiv
- arXiv:cond-mat/0108184v1;
Publishing Information
- Journal Title
- AIP Conference Proceedings
- Journal Volume
- 597
- Journal Issue
- 1
- Journal Page Range
- p. 341-348
- ISSN
- 0094-243X
- CODEN
- APCPCS
Conference
- Title
- International conference on nonequilibrium and nonlinear dynamics in nuclear and other finite systems
- Dates
- 21-25 May 2001
- Place
- Beijing (China)
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35076560
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- ELEMENTARY PARTICLES; ENTROPY; FRACTALS; INFORMATION THEORY; SCATTERING; SINGULARITY; THERMODYNAMICS
- Descriptors DEC
- PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES
Optional Information
- Notes
- (c) 2001 American Institute of Physics.