Entropy and information in processes of self-organization: uncertainty and predictability

Werner Ebeling

Physica A: Statistical Mechanics and its Applications, 1993, vol. 194, issue 1, 563-575

Abstract: The mean uncertainties of probability distributions of discrete sets of events and those of dynamic sequences of events are investigated on the macroscopic and on the microscopic level. First one-time distributions are studied. The key point is the specification of the state space; the (coarse-grained) physical phase space leads to the thermodynamical entropy and the order parameter space to the informational entropy. In a similar way the uncertainty of the state after one step ahead in time, introduced by Shannon, McMillan and Khinchin, is related to the dynamic entropies studied by Kolmogorov and Sinai and to the gain of information. The non-equilibrium entropies and their relation to properties of attractors are discussed for several examples taken from physical and non-physical self-organization processes.

Date: 1993
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/037843719390386I
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:194:y:1993:i:1:p:563-575

DOI: 10.1016/0378-4371(93)90386-I

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().