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We consider the motion of a particle in a periodic two dimensional flow perturbed by small (molecular) diffusion. The flow is generated by a divergence free zero mean vector field. The long time behavior corresponds to the behavior of the…

Probability · Mathematics 2009-03-04 L. Koralov

In this letter, we report a numerical study on the collective dynamics of two mutually coupled Thomas oscillators with linear/nonlinear coupling in a dynamic environment. We claim our model calculations can explain the diffusion of…

Chaotic Dynamics · Physics 2022-07-13 Vinesh Vijayan , Biplab Ganguli

Diffusion of electrons in a two-dimensional system with time-dependent random potentials is investigated numerically. In the absence of spin-orbit scattering, the conductivity shows universal weak localization correction. In the presence of…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Takeshi Nakanishi , Tomi Ohtsuki

It has been shown that the combination of a broken spatial symmetry in the potential (or ratchet potential) and time correlations in the driving are crucial, and enough to allow transformation of the fluctuations into work. The required…

Condensed Matter · Physics 2009-10-22 Dante R. Chialvo , Mark M. Millonas

We study the dynamics of a single-particle wave packet on a one-dimensional lattice subject to periodic random phase kicks with finite spatial correlation length. This stroboscopic setting provides a controllable model of dephasing in…

Mesoscale and Nanoscale Physics · Physics 2026-05-11 Pei Wang

We investigate the ratchet current that appears in a kicked Hamiltonian system when the period of the kicks corresponds to the regime of quantum resonance. In the classical analogue, a spatial-temporal symmetry should be broken to obtain a…

Quantum Physics · Physics 2015-06-26 Dario Poletti , Gabriel G. Carlo , Baowen Li

In this work, the effect of fluctuations in a disordered square lattice on diffusion of a test particle is studied using kinetic Monte Carlo simulations. Diffusion is relevant to a wide variety of problems, both within physics and outside…

Statistical Mechanics · Physics 2016-04-15 Robbert-Jan Dikken , Casper D. Versteylen

Energetic particles in a turbulent medium can be subject to second-order Fermi acceleration due to scattering on moving plasma waves. This mechanism leads to growing particle momentum dispersion and, at the same time, increases the mean…

Astrophysics · Physics 2011-05-23 M. Ostrowski , G. Siemieniec-Oziȩbło

We study quantum particle dynamics in a box and driven by PT-symmetric, delta-kicking complex potential. Such dynamical characteristics as the average kinetic energy as function of time and quasi-energy at different values of the kicking…

Quantum Physics · Physics 2019-01-15 J. Yusupov , S. Rakhmanov , D. U. Matrasulov , H. Susanto

We experimentally investigate the effects of phase noise on the resonant and non-resonant dynamics of the atom-optics kicked rotor. Employing sinusoidal phase modulation at various frequencies, resonances are found corresponding to periodic…

Quantum Physics · Physics 2014-11-21 D. H. White , S. K. Ruddell , M. D. Hoogerland

Transport and diffusion of heat in one dimensional (1D) nonlinear systems which {\it conserve momentum} is typically thought to proceed anomalously. Notable exceptions, however, exist of which the rotator model is a prominent case.…

Statistical Mechanics · Physics 2015-05-05 Yunyun Li , Sha Liu , Nianbei Li , Peter Hanggi , Baowen Li

We present an investigation into effects exhibited by the two-frequency kicked rotor. Experiments were performed and in addition quantum and classical dynamics were simulated and compared with the experimental results. The experiments…

Quantum Physics · Physics 2007-05-23 T. G. Mullins , A. J. Hilliard , M. P. Sadgrove , M. D. Hoogerland , A. S. Parkins , R. Leonhardt

We investigate the emergence of complex dynamics in a system of coupled dissipative kicked rotors and show that critical transitions can be understood via bifurcations of simple states. We study multistability and bifurcations in the single…

Chaotic Dynamics · Physics 2025-10-27 Jin Yan

We study the kinematics of deep inelastic scattering corresponding to the rotationally symmetric distribution of quark momenta in the nucleon rest frame. It is shown that rotational symmetry together with Lorentz invariance can in leading…

High Energy Physics - Phenomenology · Physics 2015-05-28 Petr Zavada

We explore the phenomena of prethermalization in a many-body classical system of rotors under aperiodic drives characterised by waiting time distribution (WTD), where the waiting time is defined as the time between two consecutive kicks. We…

Statistical Mechanics · Physics 2025-12-23 Aritra Kundu , Tanay Nag , Atanu Rajak

Chaotic scattering with an internal degree of freedom and the possibility to generate directed transport of angular momentum is studied in a specific model, a magnetic dipole moving in a periodically modulated magnetic field confined to a…

Chaotic Dynamics · Physics 2008-06-14 T. Dittrich , F. L. Dubeibe

We consider classical models of the kicked rotor type, with piecewise linear kicking potentials designed so that momentum changes only by multiples of a given constant. Their dynamics display quasi-localization of momentum, or quadratic…

Quantum Physics · Physics 2015-06-23 Italo Guarneri , Giulio Casati , Volker Karle

We study the evolution of eastward propagating dipoles (modons) in a two-layer quasi-geostrophic $\beta$-plane model using high-resolution numerical simulations. Various combinations of background gradients of potential vorticity in the…

Fluid Dynamics · Physics 2024-12-04 Matthew. N. Crowe , Georgi. G. Sutyrin

There remains a useful relation between diffusion and mobility for a Langevin particle in a periodic medium subject to nonconservative forces. The usual fluctuation-dissipation relation easily gets modified and the mobility matrix is no…

Statistical Mechanics · Physics 2015-03-17 Marco Baiesi , Christian Maes , Bram Wynants

We analyze the atomic dynamics in an ac driven periodic optical potential which is symmetric in both time and space. We experimentally demonstrate that in the presence of dissipation the symmetry is broken, and a current of atoms through…

Statistical Mechanics · Physics 2009-11-11 R. Gommers , S. Bergamini , F. Renzoni