Numerical analysis of diffusion of a quasiparticle in a dynamically fluctuating medium based on the path integral method I

Hiromi Ezaki and Fumiaki Shibata

Physica A: Statistical Mechanics and its Applications, 1992, vol. 187, issue 1, 267-281

Abstract: The path integral method is applied to the study of a stochastic Hamiltonian describing the motion of a quasiparticle in a dynamically fluctuating medium. Formulas to calculate the density of states and the diffusion constant of the quasiparticle are derived on the basis of the path integral method, which enables us to compute their exact values numerically for arbitrary fluctuations. Numerical calculation is demonstrated for one-dimensional systems with site-energy fluctuations obeying an asymmetric two-state-jump Markoff process. As far as one-particle quantities, such as the density of states, are concerned, no marked discrepancy between our results and those of the coherent potential approximation are observed. As for the diffusion constant, on the other hand, the two results exhibit qualitatively different behavior which is related to the localization of a quasiparticle, particularly for slow fluctuations.

Date: 1992
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/037843719290422M
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:187:y:1992:i:1:p:267-281

DOI: 10.1016/0378-4371(92)90422-M

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 ().