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Universal Temporal Dependence of Survival Probability for Diffusing Particles in Multidimensional Media with Absorbing Traps in an Electric Field
Journal of Experimental and Theoretical Physics ( IF 1.0 ) Pub Date : 2020-03-12 , DOI: 10.1134/s1063776119120112
V. E. Arkhincheev

Abstract

The effect of electric-field-induced reduction of the “effective” dimension is detected in the multidimensional problem of diffusion in a medium with absorbing traps. An effective transition to the 1D case occurs due to directional motion of a particle when it begins to dominate over diffusion. A universal “1D” dependence of the particle survival probability in a multidimensional medium with absorbing traps over long times has been established.


中文翻译:

在电场中吸收陷阱的多维介质中扩散粒子的生存概率的普遍时间依赖性。

摘要

电场引起的“有效”尺寸减小的影响在具有吸收阱的介质中的多维扩散问题中得到了检测。当粒子开始在扩散过程中占主导地位时,由于粒子的定向运动,导致有效过渡到一维情况。已经建立了多维介质在长时间内具有吸收阱的粒子存活概率的普遍“一维”依赖性。
更新日期:2020-03-12
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