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Recently, the Fokker-Planck dynamics of particles in periodic potentials $\pm V$, have been investigated by using the matrix continued fraction method. It was found that the two periodic potentials, one being bistable and the other…

Statistical Mechanics · Physics 2009-11-11 Mamata Sahoo , Mangal C. Mahato , A. M. Jayannavar

We study the statistical properties of the time delay matrix $Q$ in the context of quantum transport through a chaotic cavity, in the absence of time-reversal invariance. First, we approach the problem from the point of view of random…

Chaotic Dynamics · Physics 2015-07-23 Marcel Novaes

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…

Biological Physics · Physics 2010-03-22 Bao-quan Ai , Liqiu Wang , Lianggang Liu

We have previously shown an analysis of our dimer model in the over-damped regime to show directed transport in equilibrium. Here we analyze the full model with inertial terms present to establish the same result. First we derive the…

Statistical Mechanics · Physics 2011-08-16 A. Bhattacharyay

We investigate the dynamics of quantum particles in a ratchet potential subject to an ac force field. We develop a perturbative approach for weak ratchet potentials and force fields. Within this approach, we obtain an analytic description…

Statistical Mechanics · Physics 2009-11-07 Stefan Scheidl , Valerii M. Vinokur

We present a Fokker-Planck description of supercooled colloidal systems exhibiting slow relaxation dynamics. By assuming the existence of a local quasi-equilibrium state during the relaxation of the system, we derive a non-Markovian…

Condensed Matter · Physics 2015-06-24 J. M. Rubi , I. Santamaria-Holek , A. Perez-Madrid

A simple statistical model for the effects of dephasing on electron transport in one-dimensional quantum systems is introduced, which allows to adjust the degree of phase and momentum randomization independently. Hence, the model is able to…

Mesoscale and Nanoscale Physics · Physics 2012-07-30 Thomas Stegmann , Matías Zilly , Orsolya Ujsághy , Dietrich E. Wolf

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…

Statistical Mechanics · Physics 2018-12-06 Shubhashis Rana , Sanchari Goswami , Sakuntala Chatterjee , Punyabrata Pradhan

This article is the exploration of the viewpoint within which propelled particles in a steady-state are regarded as a system with quenched disorder. The analogy is exact when the rate of the drift orientation vanishes and the linear…

Statistical Mechanics · Physics 2021-05-10 Derek Frydel

Several classes of physical systems exhibit ultraslow diffusion for which the mean squared displacement at long times grows as a power of the logarithm of time ("strong anomaly") and share the interesting property that the probability…

Statistical Mechanics · Physics 2009-11-10 A. V. Chechkin , J. Klafter , I. M. Sokolov

Using Brownian dynamics (BD) simulations and an analytical approach we investigate the shear-induced, nonequilibrium dynamics of dense colloidal suspensions confined to a narrow slit-pore. Focusing on situations where the colloids arrange…

Soft Condensed Matter · Physics 2017-01-04 Sascha Gerloff , Sabine H. L. Klapp

This report deals with the basic concepts on deducing transit times for quantum scattering: the stationary phase method and its relation with delay times for relativistic and non-relativistic tunneling particles. We notice that the…

Quantum Physics · Physics 2017-11-08 Alex E. Bernardini

We consider rare transitions induced by colored noise excitation in multistable systems. We show that undesirable transitions can be mitigated by a simple time-delay feedback control if the control parameters are judiciously chosen. We…

Dynamical Systems · Mathematics 2021-09-15 Konstantinos Mamis , Mohammad Farazmand

We propose a time-dependent approach to investigate the motion of electrons in quantum pump device configurations. The occupied one-particle states are propagated in real time and used to calculate the local electron density and current. An…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 G. Stefanucci , S. Kurth , A. Rubio , E. K. U. Gross

The Frimmer-Novotny model to simulate two-level systems by coupled oscillators is extended by incorporating a constant time delay in the coupling. The effects of the introduced delay on system dynamics and two-level modeling are then…

We consider motion of an overdamped Brownian particle subject to stochastic resetting in one dimension. In contrast to the usual setting where the particle is instantaneously reset to a preferred location (say, the origin), here we consider…

Statistical Mechanics · Physics 2021-05-26 Deepak Gupta , Arnab Pal , Anupam Kundu

A one species time-delay reaction-diffusion system defined on a complex networks is studied. Travelling waves are predicted to occur as follows a symmetry breaking instability of an homogenous stationary stable solution, subject to an…

Statistical Mechanics · Physics 2015-09-30 Julien Petit , Timoteo Carletti , Mabor Asslani , Duccio Fanelli

We investigate the time-dependent, coherent, and dissipative dynamics of bound particles in single multilevel quantum dots in the presence of sequential tunnelling transport. We focus on the nonequilibrium regime where several channels are…

Mesoscale and Nanoscale Physics · Physics 2010-02-11 Eduardo Vaz , Jordan Kyriakidis

We consider the single-file motion of colloidal particles interacting via short-ranged repulsion and placed in a traveling wave potential, that varies periodically in time and space. Under suitable driving conditions, a directed…

Statistical Mechanics · Physics 2015-06-25 Debasish Chaudhuri , Archishman Raju , Abhishek Dhar

We propose a necessary condition for the successful stabilisation of a periodic orbit using the extended version of time-delayed feedback control. This condition depends on the number of real Floquet multipliers larger than unity and is…

Chaotic Dynamics · Physics 2015-06-16 Andreas Amann , Edward W. Hooton
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