Theory of the relaxation and fluctuation from unstable and metastable states

T. Shimizu

Physica A: Statistical Mechanics and its Applications, 1978, vol. 91, issue 3, 534-548

Abstract: An extension of the usual system-size expansion method is given to study the relaxation and fluctuation from unstable and metastable states. The short-time and the long-time behavior of the moments y(t) and Mn(t) and of the distribution function P(x, t) of a macroscopic variable x are investigated by using the generating function G(α, β; t) = δ(α − y(t))Π∞n = 2δ(βn − Mn(t)), where y(t) = ∫ xP(x, t) dx and Mn(t) ≡ ∫ (x − y(t))nP(x, t) dx. The dominant part of the time evolution of G(α, β; t) is extracted by introducing a scale transformation of β. The theory is applied to the one-dimensional laser model.

Date: 1978
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437178901966
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:91:y:1978:i:3:p:534-548

DOI: 10.1016/0378-4371(78)90196-6

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 ().