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This work presents a general thermodynamic approach to describe particle diffusion on a lattice, a model used to study transport processes in solids and on surfaces. By treating each lattice site as an open thermodynamic system, the effects…

统计力学 · 物理学 2026-05-05 Matías A. Di Muro , Miguel Hoyuelos

A model has two main aims: predicting the behavior of a physical system and understanding its nature, that is how it works, at some desired level of abstraction. A promising recent approach to model building consists in deriving a…

统计力学 · 物理学 2019-02-26 Marco Baldovin , Andrea Puglisi , Angelo Vulpiani

We investigate the influence of a self-propelling, out-of-equilibrium active particle on generalized elastic systems, including flexible and semiflexible polymers, fluid membranes, and fluctuating interfaces, while accounting for…

软凝聚态物质 · 物理学 2024-01-25 Alessandro Taloni

Expanding medium is very common in many different fields, such as biology and cosmology. It brings a nonnegligible influence on particle's diffusion, which is quite different from the effect of an external force field. The dynamic mechanism…

统计力学 · 物理学 2023-02-22 Xudong Wang , Yao Chen

Active colloidal particles that are propelled by a self-diffusiophoretic mechanism are often described by Langevin equations that are either postulated on physical grounds or derived using the methods of fluctuating hydrodynamics. While…

统计力学 · 物理学 2020-10-28 Bryan Robertson , Jeremy Schofield , Pierre Gaspard , Raymond Kapral

A two-dimensional periodic optical force field, which combines conservative dipolar forces with vortices from radiation pressure, is proposed in order to influence the diffusion properties of optically susceptible nano-particles. The…

介观与纳米尺度物理 · 物理学 2016-06-29 Ivar Zapata , Rafael Delgado-Buscalioni , Juan José Sáenz

The generalized Langevin equation is a model for the motion of coarse-grained particles where dissipative forces are represented by a memory term. The numerical realization of such a model requires the implementation of a stochastic…

软凝聚态物质 · 物理学 2021-05-26 Niklas Bockius , Jeanine Shea , Gerhard Jung , Friederike Schmid , Martin Hanke

The Markovian diffusion theory is generalized within the framework of the special theory of relativity using a modification of the mathematical calculus of diffusion on Riemannian manifolds (with definite metric) to describe diffusion on…

数学物理 · 物理学 2013-05-29 Joachim Herrmann

We introduce a scheme for deriving an optimally-parametrised Langevin dynamics of few collective variables from data generated in molecular dynamics simulations. The drift and the position-dependent diffusion profiles governing the Langevin…

统计力学 · 物理学 2008-08-22 Cristian Micheletti , Giovanni Bussi , Alessandro Laio

We present a numerical and partially analytical study of classical particles obeying a Langevin equation that describes diffusion on a surface modeled by a two dimensional potential. The potential may be either periodic or random. Depending…

统计力学 · 物理学 2009-11-10 A. M. Lacasta , J. M. Sancho , A. H. Romero , I. M. Sokolov , K. Lindenberg

We propose a stochastic model for intracellular transport processes associated with the activity of molecular motors. This out-of-equilibrium model, based on a generalized Langevin equation, considers a particle immersed in a viscoelastic…

生物物理 · 物理学 2009-04-15 L. Bruno , M. A. Despósito

In this work the explicit solution of the electronic plasma diffusion with radiation reaction force, under the action of an exponential decay external electric field is given. The electron dynamics is described by a classical generalized…

Molecular dynamics (MD) simulation based on Langevin equation has been widely used in the study of structural, thermal properties of matters in difference phases. Normally, the atomic dynamics are described by classical equations of motion…

介观与纳米尺度物理 · 物理学 2018-02-06 Jing-Tao Lü , Bing-Zhong Hu , Per Hedegård , Mads Brandbyge

Generating an initial condition for a Langevin equation with memory is a non trivial issue. We introduce a generalisation of the Laplace transform as a useful tool for solving this problem, in which a limit procedure may send the extension…

统计力学 · 物理学 2020-11-19 Ivan Di Terlizzi , Felix Ritort , Marco Baiesi

We study the Langevin dynamics of diffusive particles with regular pairwise interactions under mean-field scaling. By approximating empirical distributions with conditional distributions, we establish coercive and contractive properties for…

概率论 · 数学 2026-05-28 Songbo Wang

The internal dynamics of macro-molecular systems is characterized by widely separated time scales, ranging from fraction of ps to ns. In ordinary molecular dynamics simulations, the elementary time step dt used to integrate the equation of…

软凝聚态物质 · 物理学 2015-05-19 Pietro Faccioli

Fourier acceleration has been successfully applied to the simulation of lattice field theories for more than a decade. In this paper, we extend the method to the dynamics of discrete particles moving in continuum. Although our method is…

统计力学 · 物理学 2009-10-31 Francis J. Alexander , Bruce M. Boghosian , Richard C. Brower , S. Roy Kimura

We investigate the interaction between light and molecular systems modeled as quantum emitters coupled to a multitude of vibrational modes via a Holstein-type interaction. We follow a quantum Langevin equations approach that allows for…

量子物理 · 物理学 2020-04-27 Michael Reitz , Christian Sommer , Claudiu Genes

We introduce and analyze a model for the transport of particles or energy in extended lattice systems. The dynamics of the model acts on a discrete phase space at discrete times but has nonetheless some of the characteristic properties of…

数学物理 · 物理学 2015-06-12 Raphael Lefevere

The Langevin equation is a common tool to model diffusion at a single-particle level. In non-homogeneous environments, such as aqueous two-phase systems or biological condensates with different diffusion coefficients in different phases,…

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