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Cooperative jump motions are studied for mutually interacting particles in a one-dimensional periodic potential. The diffusion constant for the cooperative motion in systems including a small number of particles is numerically calculated…

Statistical Mechanics · Physics 2015-05-14 Hidetsugu Sakaguchi

Diffusion of atoms in solids is one of the most fundamental kinetic processes that ultimately governs many materials properties. Here, we report on a combined first-principles and kinetic Monte Carlo study of macroscopic diffusion…

Materials Science · Physics 2021-05-25 Tanmoy Chakraborty , Jutta Rogal

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…

Soft Condensed Matter · Physics 2014-02-19 Soya Shinkai , Yuichi Togashi

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…

Soft Condensed Matter · Physics 2021-08-24 J. M. Miotto , S. Pigolotti , A. V. Chechkin , S. Roldán-Vargas

Energetic particle redistribution in the presence of multiple Alfv\'en eigenmodes is analyzed in [PPCF 58, 014019 (2016)] for the ITER 15MA baseline scenario: non-linear hybrid simulations (within their well known limits) point out that…

Plasma Physics · Physics 2022-11-17 Nakia Carlevaro , Giovanni Montani , Matteo Valerio Falessi , Philipp Lauber

We study the motion of a Brownian particle in a medium with inhomogeneous temperature. In the overdamped regime of low Reynolds numbers, the probability distribution function (PDF) of the particle is obtained from the van Kampen diffusion…

Statistical Mechanics · Physics 2019-06-06 Oded Farago

We propose a model to treat the local motion of atoms in solid $^{4}$He as a local mode. In this model, the solid is assumed to be described by the Self Consistent Harmonic approximation, combined with an array of local modes. We show that…

Condensed Matter · Physics 2009-10-31 N. Gov , E. Polturak

We examine the relaxation of the Kob-Andersen Lennard-Jones binary mixture using Brownian dynamics computer simulations. We find that in accordance with mode-coupling theory the self-diffusion coefficient and the relaxation time show…

Soft Condensed Matter · Physics 2009-11-11 Elijah Flenner , Grzegorz Szamel

Dynamics of a particle diffusing in a confinement can be seen a sequence of bulk-diffusion-mediated hops on the confinement surface. Here, we investigate the surface hopping propagator that describes the position of the diffusing particle…

Statistical Mechanics · Physics 2020-09-23 Denis S. Grebenkov

We investigate dynamically and statistically diffusive motion in a Klein-Gordon particle chain in the presence of disorder. In particular, we examine a low energy (subdiffusive) and a higher energy (self-trapping) case and verify that…

Chaotic Dynamics · Physics 2015-06-18 Ch. G. Antonopoulos , T. Bountis , Ch. Skokos , L. Drossos

Anomalous transport processes in which the variance of the distance travelled does not necessarily increase linearly with time are modelled using the formalism of continuous time random walks. We compute particle propagators which have the…

Astrophysics · Physics 2011-05-23 B. R. Ragot , J. G. Kirk

In particle systems subject to a nonuniform drive, particle migration is observed from the driven to the non--driven region and vice--versa, depending on details of the hopping dynamics, leading to apparent violations of Fick's law and of…

Statistical Mechanics · Physics 2019-09-04 Emilio N. M. Cirillo , Matteo Colangeli , Ronald Dickman

Understanding the transport behavior of quantum many-body systems constitutes an important physical endeavor, both experimentally and theoretically. While a reliable classification into normal and anomalous dynamics is known to be…

Statistical Mechanics · Physics 2025-06-11 Jiaozi Wang , Mats H. Lamann , Robin Steinigeweg , Jochen Gemmer

We evaluate thermodynamical quantities and the transport coefficients of a dense and hot hadronic matter based on the event generator URASiMA (Ultra-Relativistic AA collision Simulator based on Multiple Scattering Algorithm) with periodic…

High Energy Physics - Phenomenology · Physics 2008-11-26 N. Sasaki , O. Miyamura , S. Muroya , C. Nonaka

We present a theoretical investigation of thermal fluctuation statistics in a molecular motor. Energy transfer in the motor is described using a multidimensional discrete master equation with nearest-neighbor hopping. In this theory, energy…

Statistical Mechanics · Physics 2014-01-07 K. J. Challis , M. W. Jack

Using the methods of computer modeling this scientific paper studies the special features of diffusion of the particles subjected to the external periodic force in the crystal lattice. The particle motion is described by a Langevin…

Statistical Mechanics · Physics 2011-11-04 I. G. Marchenko , I. I. Marchenko

The microscopic theory of atomic diffusion kinetics is used for f.c.c. substitutional solid solutions. Within this approach, the short-range order relaxation is due to the atomic migration. Experimental data on the time dependence of…

Materials Science · Physics 2014-06-12 T. M. Radchenko , V. A. Tatarenko , S. M. Bokoch , M. P. Kulish

We have investigated the slow dynamics of ultrasoft particles in crystalline cluster phases, where point particles interact through the generalized exponential potential u(r) = \epsilon \exp[-(r/\sigma)^n], focusing on the cluster fcc phase…

Soft Condensed Matter · Physics 2010-12-10 Daniele Coslovich , Lukas Strauss , Gerhard Kahl

Heat transfer in liquids is a very challenging problem as it combines the competing effect of high frequency oscillations, which dominate liquid heat capacity, and diffusive motion, which enables transport macroscopic flow. This issue is…

Materials Science · Physics 2025-05-20 Cillian Cockrell , Aleksandra Dragović

Using Gaussian integral transform techniques borrowed from functional-integral field theory and the replica trick we derive a version of the coherent-potential approximation (CPA) suited for describing ($i$) the diffusive (hopping) motion…

Disordered Systems and Neural Networks · Physics 2015-06-15 S. Köhler , G. Ruocco , W. Schirmacher