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We theoretically study the phenomenon of self-propulsion through Casimir forces in thermal non-equilibrium. Using fluctuational electrodynamics, we derive a formula for the self-propulsion force for an arbitrary small object in two…

Quantum Physics · Physics 2016-03-23 Boris Müller , Matthias Krüger

Recent studies show interest in materials with asymmetric friction forces. We investigate terminal motion of a solid body with circular contact area. We assume that friction forces are asymmetric orthotropic. Two cases of pressure…

Soft Condensed Matter · Physics 2018-02-21 O. A. Silantyeva , N. N. Dmitriev

We analyze the frictionless motion of a point-like particle that slides under gravity on an inverted conical surface. This motion is studied for arbitrary initial conditions and a general relation, valid within 13%, between the periods of…

Chaotic Dynamics · Physics 2007-05-23 Ricardo Lopez-Ruiz , Amalio F. Pacheco

In this paper, we consider the dynamics of a heavy homogeneous ball moving under the influence of dry friction on a fixed horizontal plane. We assume the ball to slide without rolling. We demonstrate that the plane may be divided into two…

Classical Physics · Physics 2016-01-20 Alexander Ivanov , Nadezhda Erdakova

Anisotropy of friction force is proved to be an important factor in various contact problems. We study dynamical behavior of thin plates with respect to symmetric and asymmetric orthotropic friction. Terminal motion of plates with circular…

Classical Physics · Physics 2018-02-13 O. A. Silantyeva , N. N. Dmitriev

The motion of an adiabatic piston under dry friction is investigated to clarify the roles of dry friction in non-equilibrium steady states. We clarify that dry friction can reverse the direction of the piston motion and causes a…

Statistical Mechanics · Physics 2014-03-11 Tomohiko G. Sano , Hisao Hayakawa

We consider a point mass on a horizontal plane. The motion of the plane is given. The plane moves periodically such that all its points have congruent closed trajectories. There is the Coulomb friction between the point mass and the plane.…

General Mathematics · Mathematics 2019-11-15 Oleg Zubelevich

We consider the motion of a harmonically trapped overdamped particle, which is submitted to a self-phoretic force, that is proportional to the gradient of a diffusive field for which the particle itself is the source. In agreement with…

Statistical Mechanics · Physics 2025-01-23 A. Alexandre , L. Anderson , T. Collin-Dufresne , T. Guérin , D. S. Dean

Inspired by recent experiments of cells accumulating on anisotropic substrates, we study a two-dimensional, compressible, isotropic, active fluid in the presence of anisotropic friction. We find that regions of anisotropic friction that are…

Soft Condensed Matter · Physics 2026-03-04 Cody D. Schimming , Brian A. Camley

Several locomotion strategies are based on the anisotropic nature of the forces experienced by the moving body with its environment. We report experiments on the anisotropy of the frictional force experienced by a cylinder moving in a…

Soft Condensed Matter · Physics 2024-02-08 René Zuñiga , Carlos Vasconcellos , Baptiste Darbois Texier , Francisco Melo

The two-dimensional motion of an object on a moving rough horizontal plane is investigated. Two cases are studied: the plane having a translational acceleration, and a rotating plane. For the first case, the motions of a point particle and…

Classical Physics · Physics 2023-08-01 Mohammad Khorrami , Amir Aghamohammadi , Cina Aghamohammadi

The present paper examines the possibility of asymmetric effect of the adjacent to barrier physically different media, or anisotropic structure of the barrier itself, on probability of the oppositely directed transitions of current carriers…

Statistical Mechanics · Physics 2010-11-25 Sergey Lazarev

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…

Statistical Mechanics · Physics 2010-12-21 A. Baule , H. Touchette , E. G. D. Cohen

A self-propelled particle in a two-dimensional axisymmetric system, such as a particle in a central force field or confined in a circular region, may show rotational or oscillatory motion. These motions do not require asymmetry of the…

Pattern Formation and Solitons · Physics 2015-07-09 Yuki Koyano , Natsuhiko Yoshinaga , Hiroyuki Kitahata

Dry active matter in an anisotropic medium is of experimental relevance, and the interplay between anisotropy and the dynamics of the active matter remains under-explored. Here, we derive the hydrodynamic equations of a generic dry polar…

Soft Condensed Matter · Physics 2025-07-22 Leiming Chen , Chiu Fan Lee , John Toner

Using an adiabatic approximation method, which searches for Tomlinson model-like instabilities for a simple but still realistic model for two crystalline surfaces in the extremely light contact limit, with mobile molecules present at the…

Materials Science · Physics 2009-11-07 C. Daly , J. Zhang , J. B. Sokoloff

We report on the motion of a spinning sleeping top on an inclined plane. Below a critical inclination angle the sleeping tops are force free. The trajectory of a sleeping top on weakly inclined planes in the adiabatic limit is invariant of…

Classical Physics · Physics 2021-11-24 Sven Barthmann , Thomas M. Fischer

We study the frictional torque acting on particles rotating in empty space. At zero temperature, vacuum friction transforms mechanical energy into light emission and produces particle heating. However, particle cooling relative to the…

Quantum Physics · Physics 2015-05-20 A. Manjavacas , F. J. García de Abajo

We consider the motion of a particle in a random isotropic force field. Assuming that the force field arises from a Poisson field in $\mathbb{R}^d$, $d \geq 4$, and the initial velocity of the particle is sufficiently large, we describe the…

Probability · Mathematics 2009-11-13 Dmitry Dolgopyat , Leonid Koralov

A "circular orbital forcing" makes a chosen point on a rigid body follow a circular motion while the body spins freely around that point. We investigate this problem for the planar motion of a body subject to dry friction. We focus on the…

Classical Physics · Physics 2022-01-13 Pablo de Castro , Tiago Araújo Lima , Fernando Parisio
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