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We study dynamics of a classical particle in a one-dimensional potential, which is composed of two periodic components, that are time-independent, have equal amplitudes and periodicities. One of them is externally driven by a random force…

统计力学 · 物理学 2007-05-23 G. Oshanin , J. Klafter , M. Urbakh

This paper reports a numerical study of complex classical trajectories of a particle in an elliptic potential. This study of doubly-periodic potentials is a natural sequel to earlier work on complex classical trajectories in trigonometric…

高能物理 - 理论 · 物理学 2010-05-12 Carl M. Bender , Daniel W. Hook , Karta Singh Kooner

Dynamics of a classical particle in a one-dimensional, randomly driven potential is analysed both analytically and numerically. The potential considered here is composed of two identical spatially-periodic saw-tooth-like components, one of…

统计力学 · 物理学 2015-06-25 G. Oshanin , J. Klafter , M. Urbakh

We study the conservative and deterministic dynamics of two nonlinearly interacting particles evolving in a one-dimensional spatially periodic washboard potential. A weak tilt of the washboard potential is applied biasing one direction for…

统计力学 · 物理学 2011-02-07 D. Hennig , A. D. Burbanks , A. H. Osbaldestin

Transport of a particle in a spatially periodic harmonic potential under the influence of a slowly time-dependent unbiased periodic external force is studied. The equations of motion are the same as in the problem of a slowly forced…

混沌动力学 · 物理学 2009-02-20 Xavier Leoncini , Anatoly Neishtadt , Alexei Vasiliev

Study of the classical motion of two identical particles on a plane subject to non-Coulomb potentials in a constant magnetic field presented in polar coordinates. With the rigorous analysis of the potentials and the constants of motion, we…

数学物理 · 物理学 2018-01-22 André Vallières , Malik Amir

The relationship between classical and quantum mechanics is explored in an intuitive manner by the exercise of constructing a wave in association with a classical particle. Using special relativity, the time coordinate in the frame of…

综合物理 · 物理学 2008-12-08 C. L. Herzenberg

We study the rectified transport of underdamped active noninteracting particles in an asymmetric periodic potential. It is found that the ratchet effect of active noninteracting particles occurs in a single direction (along the easy…

软凝聚态物质 · 物理学 2017-03-30 Bao-quan Ai , Feng-guo Li

Rectified transport of active ellipsoidal particles is numerically investigated in a two-dimensional asymmetric potential. The out-of-equilibrium condition for the active particle is an intrinsic property, which can break thermodynamical…

软凝聚态物质 · 物理学 2015-05-12 Bao-quan Ai , Jian-chun Wu

A model of Brownian particles with the ability to take up energy from the environment, to store it in an internal depot, and to convert internal energy into kinetic energy of motion, is discussed. The general dynamics outlined in Sect. 2 is…

统计力学 · 物理学 2009-10-31 Benno Tilch , Frank Schweitzer , Werner Ebeling

We analyze the motion of an overdamped classical particle in a multidimensional periodic potential, driven by a weak external noise. We demonstrate that in steady-state, the presence of temporal correlations in the noise and spatial…

凝聚态物理 · 物理学 2009-10-31 A. W. Ghosh , S. V. Khare

The energy of a quantum particle cannot be determined exactly unless there is an infinite amount of time in which to perform the measurement. This paper considers the possibility that $\Delta E$, the uncertainty in the energy, may be…

数学物理 · 物理学 2015-05-13 Tanwa Arpornthip , Carl M. Bender

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…

适应与自组织系统 · 物理学 2012-01-24 José L. Mateos , Fernando R. Alatriste

On the basis of the transport features and experimental phenomena observed in studies of molecular motors, we proposea double-temperature ratchet model of coupled motors to reveal the dynamical mechanism of cooperative transport of motors…

经典物理 · 物理学 2017-02-24 Chen-pu Li , Hong-bin Chen , Zhi-gang Zheng

Transport of a Brownian particle moving in a periodic potential is investigated in the presence of symmetric unbiased external force. The viscous medium is alternately in contact with the two heat reservoirs. We present the analytical…

生物物理 · 物理学 2010-03-22 Bao-quan Ai , Liqiu Wang , Lianggang Liu

We study the motion of $N$ particles moving on a two-dimensional triangular lattice, whose sites are occupied by either left or right rotators. These rotators deterministically scatter the particles to the left (right), changing orientation…

统计力学 · 物理学 2020-02-19 Stewart McGinnis , Benjamin Webb

This paper examines the complex trajectories of a classical particle in the potential V(x)=-cos(x). Almost all the trajectories describe a particle that hops from one well to another in an erratic fashion. However, it is shown analytically…

高能物理 - 理论 · 物理学 2015-06-05 Alexander G. Anderson , Carl M. Bender

Using molecular dynamics simulations, we study particle-transport in a system of interacting colloidal particles on a ring, where the system is driven by a time-dependent external potential, moving along the ring. We consider two driving…

统计力学 · 物理学 2018-12-06 Shubhashis Rana , Sanchari Goswami , Sakuntala Chatterjee , Punyabrata Pradhan

We consider the motion of a classical particle under the influence of a random potential on R^d, in particular the distribution of asymptotic velocities and the question of ergodicity of time evolution.

数学物理 · 物理学 2019-02-20 Andreas Knauf , Christoph Schumacher

We consider model of a complex particle that consists of a rigid shell and a nucleus with spatial asymmetric interaction. The particle's dynamics with the nucleus driven by a periodic excitation is considered. It is shown that…

混沌动力学 · 物理学 2007-05-23 Sergey Denisov
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