Generalized Langevin subdiffusion in channels: The bath always wins

IF 2.4 3区 物理与天体物理 Q1 Mathematics Physical review. E Pub Date : 2024-09-03 DOI:10.1103/physreve.110.034104
Eugene B. Postnikov, Igor M. Sokolov
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Abstract

We consider subdiffusive motion, modeled by the generalized Langevin equation in an equilibrium setting, of tracer particles in channels of indefinite length in the x direction: the channels of varying width and the channels with sinusoidally meandering midline. The subdiffusion in the x direction is not affected by constraints put by the channel. This is especially astonishing for meandering channels whose centerline might be quite long. The same behavior is seen in a holonomic model of a bead on a sinusoidal and meandering wire, where some analytic insights are possible.

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通道中的广义朗格文子扩散:浴场永远是赢家
我们考虑了示踪粒子在 x 方向长度不确定的通道(宽度不等的通道和中线呈正弦蜿蜒的通道)中的亚扩散运动,该运动以平衡环境下的广义朗格文方程为模型。x 方向上的亚扩散不受通道限制的影响。这对于中心线可能很长的蜿蜒通道来说尤其令人惊讶。在正弦蜿蜒导线上的珠子的全局模型中也可以看到同样的行为,从而可以得到一些分析结果。
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来源期刊
Physical review. E
Physical review. E 物理-物理:流体与等离子体
CiteScore
4.60
自引率
16.70%
发文量
0
审稿时长
3.3 months
期刊介绍: Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.
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