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Diffusive transport properties of a quantum Brownian particle moving in a tilted spatially periodic potential and strongly interacting with a thermostat are explored. Apart from the average stationary velocity, we foremost investigate the…

Statistical Mechanics · Physics 2009-11-11 L. Machura , M. Kostur , P. Talkner , J. Luczka , P. Hänggi

We suggest a governing equation which describes the process of polymer chain translocation through a narrow pore and reconciles the seemingly contradictory features of such dynamics: (i) a Gaussian probability distribution of the…

Soft Condensed Matter · Physics 2011-02-15 Johan L. A. Dubbeldam , V. G. Rostiashvili , A. Milchev , T. A. Vilgis

We investigate sedimentation of model hard sphere-like colloidal dispersions confined in horizontal capillaries using laser scanning confocal microscopy, dynamical density functional theory, and Brownian dynamics computer simulations. For…

Soft Condensed Matter · Physics 2009-11-13 C. Patrick Royall , Joachim Dzubiella , Matthias Schmidt , Alfons van Blaaderen

We investigate the motion of a colloidal particle driven out of equilibrium by an external torque. We use the molecular dynamics simulation that is alternative to the numerical integration approach based on the Langevin equation and is…

Statistical Mechanics · Physics 2017-03-08 Donghwan Yoo , Youngkyun Jung , Chulan Kwon

The interplay between structure and dynamics in non-equilibrium steady-state is far from understood. We address this interplay by tracking Brownian Dynamics trajectories of particles in a binary colloid of opposite charges in an external…

Soft Condensed Matter · Physics 2016-12-08 Suman Dutta , J. Chakrabarti

We study the Brownian motion of a classical particle in one-dimensional inhomogeneous environments where the transition probabilities follow quasiperiodic or aperiodic distributions. Exploiting an exact correspondence with the…

Statistical Mechanics · Physics 2009-10-31 F. Igloi , L. Turban , H. Rieger

Einstein realised that the fluctuations of a Brownian particle can be used to ascertain properties of its environment. A large number of experiments have since exploited the Brownian motion of colloidal particles for studies of dissipative…

Soft Condensed Matter · Physics 2014-08-05 J. Millen , T. Deesuwan , P. Barker , J. Anders

We study parity-time-symmetric non-Hermitian quantum systems at finite temperature, where the Boltzmann distribution law fails to hold. To characterize their abnormal physical properties, a new quantum statistics theory (the so-called…

Statistical Mechanics · Physics 2022-09-21 Qian Du , Kui Cao , Su-Peng Kou

We consider a model system in which anomalous diffusion is generated by superposition of underlying linear modes with a broad range of relaxation times. In the language of Gaussian polymers, our model corresponds to Rouse (Fourier) modes…

Statistical Mechanics · Physics 2010-03-11 Assaf Amitai , Yacov Kantor , Mehran Kardar

The existence of two stationary solutions of the nonlinear Boltzmann equation for inelastic hard spheres or disks is investigated. They are restricted neither to weak dissipation nor to small gradients. The one-particle distribution…

Soft Condensed Matter · Physics 2013-05-06 J. Javier Brey , N. Khalil , M. J. Ruiz-Montero

Several physical models have recently been proposed to obtain unidirectional motion of an overdamped Brownian particle in a periodic potential system. The asymmetric ratchetlike form of the periodic potential and the presence of correlated…

Condensed Matter · Physics 2015-06-25 Mangal C. Mahato , T. P. Pareek , A. M. Jayannavar

The Soret effect is the tendency of fluid mixtures to exhibit concentration gradients in the presence of a temperature gradient. Using molecular-dynamics simulation of two-component Lennard-Jones liquids, it is demonstrated that…

Soft Condensed Matter · Physics 2023-02-08 Patrick K. Schelling

Quantum Brownian motion in a periodic cosine potential is studied and a simple estimate of the tunneling effect is obtained in the frames of a quasi-equilibrium semiclassical approach. It is shown that the latter is applicable for heavy…

Quantum Physics · Physics 2012-01-19 R. Tsekov

We analyze theoretically the dynamics of a single colloidal particle in an externally applied electric field. The thermal motions of microions lead to an anisotropic, nonequilibrium source of noise, pro- portional to the field, in the…

Statistical Mechanics · Physics 2009-07-03 Suropriya Saha , Sriram Ramaswamy

According to a traditional point of view Boltzmann entropy is intimately related to linear Fokker-Planck equations (Smoluchowski, Klein-Kramers, and Rayleigh equations) that describe a well-known nonequilibrium phenomenon: (normal) Brownian…

General Physics · Physics 2017-01-11 A. O. Bolivar

We show that for any liquid or solid with strong correlation between its $NVT$ virial and potential-energy equilibrium fluctuations, the temperature is a product of a function of excess entropy per particle and a function of density,…

Soft Condensed Matter · Physics 2012-03-13 Trond S. Ingebrigtsen , Lasse Bøhling , Thomas B. Schrøder , Jeppe C. Dyre

Exposing a solution to a temperature gradient can lead to the accumulation of particles on either the cold or warm side. This phenomenon, known as thermophoresis, has been discovered more than a century ago, and yet its microscopic origin…

Statistical Mechanics · Physics 2023-01-02 Shiling Liang , Daniel Maria Busiello , Paolo De Los Rios

Consider a chaotic dynamical system generating Brownian motion-like diffusion. Consider a second, non-chaotic system in which all particles localize. Let a particle experience a random combination of both systems by sampling between them in…

Chaotic Dynamics · Physics 2019-05-01 Y. Sato , R. Klages

The equilibrium distribution function determines macroscopic observables in statistical physics. While conventional methods correct equilibrium distributions in weakly nonlinear or near-integrable systems, they fail in strongly nonlinear…

Statistical Mechanics · Physics 2025-07-11 Jialin Zhang , Yong Zhang , Hong Zhao

Using numerical simulations, we study the non-equilibrium coarsening dynamics of a binary solvent around spherical colloids in the presence of a temperature gradient. The coarsening dynamics following a temperature quench is studied by…

Soft Condensed Matter · Physics 2020-02-20 Moritz Wilke