Statistical model for stretched exponential relaxation with backtransfer and leakage

D.L. Huber and M.O. Vlad

Physica A: Statistical Mechanics and its Applications, 1997, vol. 242, issue 1, 81-89

Abstract: Previous calculations of stretched exponential decay in disordered systems have been extended to cover situations where there is backtransfer and leakage in the relaxation channels. Results are obtained for the relaxation of the macroscopic parameter in situations where the channels are governed by Poisson statistics. Analogous results are obtained for Fermi-Dirac and Bose-Einstein statistics. It is shown that in the continuum limit, all three cases have the same macroscopic decay function. Detailed findings are presented for a model where all channels have the same backtransfer and leakage rates. In this case, the decay function is related to the decay in the absence of backtransfer.

Date: 1997
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S037843719700191X
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:242:y:1997:i:1:p:81-89

DOI: 10.1016/S0378-4371(97)00191-X

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 ().