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Title: Anisotropic diffusion in media with absorbing traps (application to the Keller–Dykhne theorem)

Abstract

Anisotropic diffusion in multidimensional media with absorbing traps is investigated. It is shown that the diffusion asymptotic forms of the survival probability over long time intervals are determined by a new effective diffusion coefficient. Exact expressions derived for the effective diffusion coefficient generalize the well-known Dykhne–Keller 2D results to the 3D case. In other words, the dynamic diffusion approach is used for obtaining a generalization of the Dykhne–Keller theorem to the 3D case.

Authors:
 [1]
  1. Buryat State University (Russian Federation)
Publication Date:
OSTI Identifier:
22756283
Resource Type:
Journal Article
Journal Name:
Journal of Experimental and Theoretical Physics
Additional Journal Information:
Journal Volume: 125; Journal Issue: 5; Other Information: Copyright (c) 2017 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANISOTROPY; ASYMPTOTIC SOLUTIONS; THREE-DIMENSIONAL CALCULATIONS; TRAPS

Citation Formats

Arkhincheev, V. E., E-mail: varkhin@mail.ru. Anisotropic diffusion in media with absorbing traps (application to the Keller–Dykhne theorem). United States: N. p., 2017. Web. doi:10.1134/S1063776117100028.
Arkhincheev, V. E., E-mail: varkhin@mail.ru. Anisotropic diffusion in media with absorbing traps (application to the Keller–Dykhne theorem). United States. doi:10.1134/S1063776117100028.
Arkhincheev, V. E., E-mail: varkhin@mail.ru. Wed . "Anisotropic diffusion in media with absorbing traps (application to the Keller–Dykhne theorem)". United States. doi:10.1134/S1063776117100028.
@article{osti_22756283,
title = {Anisotropic diffusion in media with absorbing traps (application to the Keller–Dykhne theorem)},
author = {Arkhincheev, V. E., E-mail: varkhin@mail.ru},
abstractNote = {Anisotropic diffusion in multidimensional media with absorbing traps is investigated. It is shown that the diffusion asymptotic forms of the survival probability over long time intervals are determined by a new effective diffusion coefficient. Exact expressions derived for the effective diffusion coefficient generalize the well-known Dykhne–Keller 2D results to the 3D case. In other words, the dynamic diffusion approach is used for obtaining a generalization of the Dykhne–Keller theorem to the 3D case.},
doi = {10.1134/S1063776117100028},
journal = {Journal of Experimental and Theoretical Physics},
issn = {1063-7761},
number = 5,
volume = 125,
place = {United States},
year = {2017},
month = {11}
}