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Anomalous transport of a particle subjected to non-Ohmic damping of the power $\delta$ in a tilted periodic potential is investigated via Monte Carlo simulation of generalized Langevin equation. It is found that the system exhibits two…

Statistical Mechanics · Physics 2009-11-13 Kun Lü , Jing-Dong Bao

Selectivity of particles in a region of space can be achieved by applying external potentials to influence the particles in that region. We investigate static and dynamical properties of size selectivity in binary fluid mixtures of two…

Soft Condensed Matter · Physics 2010-01-18 Roland Roth , Markus Rauscher , Andrew J. Archer

Catalytically active macromolecules are envisioned as key building blocks in development of artificial nanomotors. However, theory and experiments report conflicting findings regarding their dynamics. The lack of consensus is mostly caused…

Statistical Mechanics · Physics 2022-09-15 Artem Ryabov , Mykola Tasinkevych

We study the transport properties for a walker on a ratchet potential. The walker consists of two particles coupled by a bistable potential that allow the interchange of the order of the particles while moving through a one-dimensional…

Adaptation and Self-Organizing Systems · Physics 2012-01-24 José L. Mateos , Fernando R. Alatriste

Movements of molecular motors on cytoskeletal filaments are described by directed walks on a line. Detachment from this line is allowed to occur with a small probability. Motion in the surrounding fluid is described by symmetric random…

Statistical Mechanics · Physics 2007-05-23 Theo M. Nieuwenhuizen , Stefan Klumpp , Reinhard Lipowsky

We analytically investigate the diffusive motion inferred from experimental observations of active particles driven by quantum vortices on the surface of superfluid helium. We first study the dynamical behavior of an active particle subject…

Statistical Mechanics · Physics 2026-04-21 Yun Jeong Kang , Sung Kyu Seo , Kyungsik Kim

A very simple system like a parallel-plate capacitor reveals striking features when we examine the peculiar phenomena appearing when it is moving at low speed in different directions. Both hidden momentum and hidden energy appear and their…

Classical Physics · Physics 2015-08-05 Giovanni Asti

In this paper we consider the one-dimensional dynamical evolution of a particle traveling at constant speed and performing, at a given rate, random reversals of the velocity direction. The particle is subject to stochastic resetting,…

Statistical Mechanics · Physics 2021-10-25 Mattia Radice

Using molecular dynamics simulations, we show that an asymmetrically shaped nanoparticle in dilute solution possesses a spontaneously curved trajectory within finite time interval, instead of the generally expected random walk. This…

Soft Condensed Matter · Physics 2016-10-13 Nan Sheng , YuSong Tu , Pan Guo , RongZheng Wan , ZuoWei Wang , HaiPing Fang

Starting from a classical mechanics of a ``colloid particle'' and $N$ ``water molecules'', we study effective stochastic dynamics of the particle which jumps between deep potential wells. We prove that the effective transition probability…

Statistical Mechanics · Physics 2007-06-08 Hal Tasaki

We consider the motion of an underdamped Brownian particle in a tilted periodic potential in a wide temperature range. Based on the previous data [1] and the new simulation results we show that the underdamped motion of particles in…

Statistical Mechanics · Physics 2013-07-17 I. G. Marchenko , I. I. Marchenko , A. V. Zhiglo

We propose that a quantum particle in a potential in one space dimension can be described by a probabilistic cellular automaton. While the simple updating rule of the automaton is deterministic, the probabilistic description is introduced…

Quantum Physics · Physics 2022-12-01 C. Wetterich

The transport phenomena of Lennard-Jones molecules through a structural bottleneck driven by an external force are investigated by molecular dynamics simulations. We observe two distinct molecular flow regimes distinguished by a critical…

Statistical Mechanics · Physics 2010-01-03 Chihiro Nakajima , Hisao Hayakawa

Systems switching between different dynamical phases is an ubiquitous phenomenon. The general understanding of such a process is limited. To this end, we present a general expression that captures fluctuations of a system exhibiting a…

Statistical Mechanics · Physics 2024-12-05 Ion Santra , Kristian Stølevik Olsen , Deepak Gupta

The nonintegrable Hamiltonian dynamics of particles placed in a symmetric, spatially periodic potential and subjected to a periodically varying field is explored. Such systems can exhibit a rich diversity of unusual transport features. In…

Chaotic Dynamics · Physics 2008-07-10 D. Hennig , L. Schimansky-Geier , P. Hänggi

We analyze the trajectory of suspended spherical particles moving through a square array of obstacles, in the deterministic limit and at zero Reynolds number. We show that, in the dilute approximation of widely separated obstacles, the…

Fluid Dynamics · Physics 2016-05-04 Sumedh R. Risbud , German Drazer

The dynamics of molecular motors which occasionally detach from a heterogeneous track like DNA or RNA is considered. Motivated by recent single molecule experiments, we study a simple model for a motor moving along a disordered track using…

Statistical Mechanics · Physics 2009-11-10 Yariv Kafri , David K. Lubensky , David R. Nelson

Two types of particles, A and B with their corresponding antiparticles, are defined in a one dimensional cyclic lattice with an odd number of sites. In each step of time evolution, each particle acts as a source for the polarization field…

Quantum Physics · Physics 2009-10-31 A. C. de la Torre

We study a model for a massive test particle in a microscopic periodic potential and interacting with a reservoir of light particles. In the regime considered, the fluctuations in the test particle's momentum resulting from collisions…

Mathematical Physics · Physics 2015-05-30 Jeremy Clark , Loïc Dubois

The stochastic driving force exerted by a single molecular motor (e.g., a kinesin, or myosin) moving on a periodic molecular track (microtubule, actin filament, etc.) is discussed from a general viewpoint open to experimental test. An…

Statistical Mechanics · Physics 2009-10-31 Michael E. Fisher , Anatoly B. Kolomeisky