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We study the stochastic motion of active particles that undergo spontaneous transitions between two distinct modes of motion. Each mode is characterized by a velocity distribution and an arbitrary (anti-)persistence. We present an…

统计力学 · 物理学 2023-07-07 M. Reza Shaebani , Heiko Rieger , Zeinab Sadjadi

According to the classical theory of Brownian motion, the mean squared displacement of diffusing particles evolves linearly with time whereas the distribution of their displacements is Gaussian. However, recent experiments on mesoscopic…

软凝聚态物质 · 物理学 2021-08-24 J. M. Miotto , S. Pigolotti , A. V. Chechkin , S. Roldán-Vargas

We study the random walk of a particle in a compartmentalized environment, as realized in biological samples or solid state compounds. Each compartment is characterized by its length $L$ and the boundaries transmittance $T$. We identify two…

A tracer particle is called anomalously diffusive if its mean squared displacement grows approximately as $\sigma^2 t^{\alpha}$ as a function of time $t$ for some constant $\sigma^2$, where the diffusion exponent satisfies $\alpha \neq 1$.…

软凝聚态物质 · 物理学 2018-10-17 Kui Zhang , Katelyn P. R. Crizer , Mark H. Schoenfisch , David B. Hill , Gustavo Didier

The fundamental insight into Brownian motion by Einstein is that all substances exhibit continual fluctuations due to thermal agitation balancing with the frictional resistance. However, even at thermal equilibrium, biological activity can…

软凝聚态物质 · 物理学 2014-02-19 Soya Shinkai , Yuichi Togashi

We study the transport properties of a system of active particles moving at constant speed in an heterogeneous two-dimensional space. The spatial heterogeneity is modeled by a random distribution of obstacles, which the active particles…

生物物理 · 物理学 2013-10-23 Oleksandr Chepizhko , Fernando Peruani

We use numerical simulations to study the behavior of 2D frictionless disk systems under cyclic shear as a function of reversal amplitude \gamma_r. Our studies focus on mean bulk and disk dynamics. These measurements suggest a crossover…

软凝聚态物质 · 物理学 2014-06-11 Mitch Mailman , Michelle Girvan , Wolfgang Losert

We report a combined experimental and simulation study of deformation-induced diffusion in compacted two-dimensional amorphous granular pillars, in which thermal fluctuations play negligible role. The pillars, consisting of bidisperse…

软凝聚态物质 · 物理学 2015-07-21 Wenbin Li , Jennifer M. Rieser , Andrea J. Liu , Douglas J. Durian , Ju Li

Single-file diffusion refers to the Brownian motion in narrow channels where particles cannot pass each other. In such processes, the diffusion of a tagged particle is typically normal at short times and becomes subdiffusive at long times.…

统计力学 · 物理学 2026-02-23 Sören Schweers , Alexander P. Antonov , Artem Ryabov , Philipp Maass

The lateral diffusion coefficient of a Brownian particle on a two-dimensional random surface is studied in the quenched limit for which the surface configuration is time-independent. We start with the stochastic equation of motion for a…

软凝聚态物质 · 物理学 2020-10-06 Takao Ohta , Shigeyuki Komura

Tracking experiments in dense biological tissues reveal a diversity of sources f or local energy injection at the cell scale. The effect of cell motility has been largely studied, but much less is known abo ut the effect of the observed…

软凝聚态物质 · 物理学 2017-11-29 Elsen Tjhung , Ludovic Berthier

In this paper, the diffusion entropy technique is applied to investigate the scaling behavior of stride interval fluctuations of human gait. The scaling behavior of the stride interval of human walking at normal, slow and fast rate are…

生物物理 · 物理学 2009-11-13 Shi-Min Cai , Pei-Ling Zhou , Hui-Jie Yang , Tao Zhou , Bing-Hong Wang , Fang-Cui Zhao

Rolling of a small sphere on a solid support is governed by a non-linear friction that is akin to the Coulombic dry fiction. No motion occurs when the external field is weaker than the frictional resistance. However, with the intervention…

统计力学 · 物理学 2012-03-22 P. S. Goohpattader , M. K. Chaudhury

We study the interface dynamics of a binary particle mixture in a rotating cylinder numerically. By considering only the particle motion in axial direction, it is shown that the initial dynamics can be well described by a one-dimensional…

软凝聚态物质 · 物理学 2007-05-23 Christian M. Dury , Gerald H. Ristow

It is well known that on long time scales the behaviour of tracer particles diffusing in a cellular flow is effectively that of a Brownian motion. This paper studies the behaviour on "intermediate" time scales before diffusion sets in.…

偏微分方程分析 · 数学 2016-09-09 Gautam Iyer , Alexei Novikov

The scaling properties of the roughness of surfaces grown by two different processes randomly alternating in time, are addressed. The duration of each application of the two primary processes is assumed to be independently drawn from given…

统计力学 · 物理学 2009-11-07 Subhadip Raychaudhuri , Yonathan Shapir

Dynamics of a classical particle in a one-dimensional, randomly driven potential is analysed both analytically and numerically. The potential considered here is composed of two identical spatially-periodic saw-tooth-like components, one of…

统计力学 · 物理学 2015-06-25 G. Oshanin , J. Klafter , M. Urbakh

We consider the influence of active speed fluctuations on the dynamics of a $d$-dimensional active Brownian particle performing a persistent stochastic motion. We use the Laplace transform of the Fokker-Planck equation to obtain exact…

统计力学 · 物理学 2024-10-08 Amir Shee , Debasish Chaudhuri

The diffusion of chiral active Brownian particles in three-dimensional space is studied analytically, by consideration of the corresponding Fokker-Planck equation for the probability density of finding a particle at position…

统计力学 · 物理学 2016-12-21 Francisco J. Sevilla

We study the single file diffusion problem on a one-dimensional lattice with a self-similar distribution of hopping rates. We find that the time dependence of the mean-square displacement of both a tagged particle and the center of mass of…

统计力学 · 物理学 2015-06-19 G. P. Suárez , H. O. Mártin , J. L. Iguain