{"title":"Generalized Langevin subdiffusion in channels: The bath always wins","authors":"Eugene B. Postnikov, Igor M. Sokolov","doi":"10.1103/physreve.110.034104","DOIUrl":null,"url":null,"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 <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>x</mi></math> direction: the channels of varying width and the channels with sinusoidally meandering midline. The subdiffusion in the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>x</mi></math> 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.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":null,"pages":null},"PeriodicalIF":2.4000,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical review. E","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physreve.110.034104","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
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 direction: the channels of varying width and the channels with sinusoidally meandering midline. The subdiffusion in the 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.
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。
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.