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This paper presents statistical analyses of random motions in a single layer of fluidized lightweight spherical particles. Foam polystyrene spheres were driven by an upward airflow through the sieve mesh, and their two-dimensional motion…

软凝聚态物质 · 物理学 2021-11-05 Shihori Koyama , Tomoki Matsuno , Takashi Noguchi

We solve a model of sluggish stochastic motion in which a Brownian particle diffuses with a diffusion coefficient that decays algebraically with the distance to the origin, as $|x|^{-\alpha}$. Additionally, the particle resets with a…

统计力学 · 物理学 2026-03-03 Denis Boyer , Satya N. Majumdar

We show that a scaling approach successfully characterizes clustering and intermittency in space and time, in systems of noninteracting particles driven by fluctuating surfaces. We study both the steady state and the approach to it, for…

软凝聚态物质 · 物理学 2019-01-15 Tapas Singha , Mustansir Barma

The horizontal dynamics of a bouncing ball interacting with an irregular surface is investigated and is found to demonstrate behavior analogous to a random walk. Its stochastic character is substantiated by the calculation of a permutation…

物理教育 · 物理学 2025-09-15 Luiz Antonio Barreiro

We present a model of anomalous diffusion consisting of an ensemble of particles undergoing homogeneous Brownian motion except for confinement by randomly placed reflecting boundaries. For power-law distributed compartment sizes, we…

软凝聚态物质 · 物理学 2015-06-09 Gerald John Lapeyre

The propagation of light in a scattering medium is described as the motion of a special kind of a Brownian particle on which the fluctuating forces act only perpendicular to its velocity. This enforces strictly and dynamically the…

无序系统与神经网络 · 物理学 2009-10-31 S. Anantha Ramakrishna , N. Kumar

Anomalous short- and long-time self-diffusion of non-overlapping fractal particles on a percolation cluster with spreading dimension $1.67(2)$ is studied by dynamic Monte Carlo simulations. As reported in Phys. Rev. Lett. 115, 097801…

计算物理 · 物理学 2020-10-08 Marco Heinen

Using random walk simulations we explore diffusive transport through monodisperse sphere packings over a range of packing fractions, $\phi$, in the vicinity of the jamming transition at $\phi_{c}$. Various diffusion properties are computed…

统计力学 · 物理学 2015-09-02 Dan S. Bolintineanu , Gary S. Grest , Jeremy B. Lechman , Leonardo E. Silbert

We study the stochastic dynamics of a symmetric self-chemotactic particle and determine the long-time behavior of its mean squared displacement (MSD). The attractive or repulsive interaction of the particle with the chemical field that it…

统计力学 · 物理学 2025-08-29 Jacopo Romano , Andrea Gambassi

Stationary probability distributions of one-dimensional random walks on lattices with aperiodic disorder are investigated. The pattern of the distribution is closely related to the diffusional behavior, which depends on the wandering…

统计力学 · 物理学 2015-06-19 Hiroshi Miki

We study the stochastic behavior of heterogeneous diffusion processes with the power-law dependence $D(x)\sim|x|^{\alpha}$ of the generalized diffusion coefficient encompassing sub- and superdiffusive anomalous diffusion. Based on…

统计力学 · 物理学 2014-12-24 Andrey G. Cherstvy , Ralf Metzler

We study the motion of a one-dimensional particle which reverses its direction of acceleration stochastically. We focus on two contrasting scenarios, where the waiting-times between two consecutive acceleration reversals are drawn from (i)…

统计力学 · 物理学 2023-08-22 Ion Santra , Durgesh Ajgaonkar , Urna Basu

In this work, the effect of fluctuations in a disordered square lattice on diffusion of a test particle is studied using kinetic Monte Carlo simulations. Diffusion is relevant to a wide variety of problems, both within physics and outside…

统计力学 · 物理学 2016-04-15 Robbert-Jan Dikken , Casper D. Versteylen

We report a new accelerated diffusion phenomenon that is produced by a one-dimensional ran- dom walk in which the flight probability to one of the two directions (i.e., bias) oscillates dynam- ically in periodic, quasiperiodic, and chaotic…

混沌动力学 · 物理学 2016-01-15 Song-Ju Kim , Makoto Naruse , Masashi Aono , Hirokazu Hori , Takuma Akimoto

We investigate a model for the dynamics of a solid object, which moves over a randomly vibrating solid surface and is subject to a constant external force. The dry friction between the two solids is modeled phenomenologically as being…

统计力学 · 物理学 2010-12-21 A. Baule , H. Touchette , E. G. D. Cohen

Anomalous diffusion is predicted for Brownian particles in inhomogeneous viscosity landscapes by means of scaling arguments, which are substantiated through numerical simulations. Analytical solutions of the related Fokker-Planck equation…

We study the scaling properties of self-flattening surfaces under global suppression on surface fluctuations. Evolution of self-flattening surfaces is described by restricted solid-on-solid type monomer deposition-evaporation model with…

统计力学 · 物理学 2009-11-07 Yup Kim , S. Y. Yoon , Hyunggyu Park

The diffusion of a particle in a crowded environment typically proceeds through three regimes: for very short times the particle diffuses freely until it collides with an obstacle for the first time, while for very long times diffusion the…

生物物理 · 物理学 2019-10-09 Nguiya P. Neo , Gary W. Slater

We study the Brownian motion of ellipsoidal particles lying on an agitated granular bath composed of magnetic particles. We quantify the mobility of different floating ellipsoidal particles using the mean square displacement and the mean…

软凝聚态物质 · 物理学 2020-08-12 C. Tapia-Ignacio , R. E. Moctezuma , F. Donado , Eric R. Weeks

When a particle diffuses in a medium with spatially dependent friction coefficient $\alpha(r)$ at constant temperature $T$, it drifts toward the low friction end of the system even in the absence of any real physical force $f$. This…

统计力学 · 物理学 2015-06-18 Oded Farago , Niels Grønbech-Jensen