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Title: Asymptotic regimes and structure of concentration tails in the Dykhne model

Abstract

A transport problem is solved for a high-contrast regularly inhomogeneous medium. Transport regimes and structure of the concentration tails in high-permeability regions are analyzed for two geometries of such regions: a plane layer and a right cylinder. It is shown that changes with time of transport regimes lead to complex asymptotic particle distributions at long distances (concentration 'tails'). The time dependence of the total number of active particles and depth of particle penetration into the low-permeability region are calculated.

Authors:
;  [1]
  1. Russian Academy of Sciences, Nuclear Safety Institute (Russian Federation)
Publication Date:
OSTI Identifier:
21072512
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 104; Journal Issue: 3; Other Information: DOI: 10.1134/S1063776107030107; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Inc; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ASYMPTOTIC SOLUTIONS; CYLINDERS; DISTRIBUTION; GEOMETRY; MATHEMATICAL MODELS; PARTICLES; PERMEABILITY; TIME DEPENDENCE

Citation Formats

Kondratenko, P. S., E-mail: kondrat@ibrae.ac.ru, and Matveev, L. V.. Asymptotic regimes and structure of concentration tails in the Dykhne model. United States: N. p., 2007. Web. doi:10.1134/S1063776107030107.
Kondratenko, P. S., E-mail: kondrat@ibrae.ac.ru, & Matveev, L. V.. Asymptotic regimes and structure of concentration tails in the Dykhne model. United States. doi:10.1134/S1063776107030107.
Kondratenko, P. S., E-mail: kondrat@ibrae.ac.ru, and Matveev, L. V.. Thu . "Asymptotic regimes and structure of concentration tails in the Dykhne model". United States. doi:10.1134/S1063776107030107.
@article{osti_21072512,
title = {Asymptotic regimes and structure of concentration tails in the Dykhne model},
author = {Kondratenko, P. S., E-mail: kondrat@ibrae.ac.ru and Matveev, L. V.},
abstractNote = {A transport problem is solved for a high-contrast regularly inhomogeneous medium. Transport regimes and structure of the concentration tails in high-permeability regions are analyzed for two geometries of such regions: a plane layer and a right cylinder. It is shown that changes with time of transport regimes lead to complex asymptotic particle distributions at long distances (concentration 'tails'). The time dependence of the total number of active particles and depth of particle penetration into the low-permeability region are calculated.},
doi = {10.1134/S1063776107030107},
journal = {Journal of Experimental and Theoretical Physics},
number = 3,
volume = 104,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}