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

Journal Article · Wed Nov 15 00:00:00 EST 2017 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776117100028· OSTI ID:22756283

Arkhincheev, V. E., E-mail: [e-mail] ^[1]

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1. Buryat State University (Russian Federation)

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.

• OSTI ID: 22756283
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 125, Issue 5; Other Information: Copyright (c) 2017 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANISOTROPY
ASYMPTOTIC SOLUTIONS
THREE-DIMENSIONAL CALCULATIONS
TRAPS