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Related papers: Quantum Brownian motion in ratchet potentials: dua…

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We consider two particles performing continuous-time nearest neighbor random walk on $\mathbb Z$ and interacting with each other when they are at neighboring positions. Typical examples are two particles in the partial exclusion process or…

Probability · Mathematics 2017-12-08 Gioia Carinci , Cristian Giardina , Frank Redig

Transport of overdamped Brownian particles in a two-dimensional asymmetric tube is investigated in the presence of nonadiabatic periodic driving forces. By using Brownian dynamics simulations we can find that the phenomena in nonadiabatic…

Soft Condensed Matter · Physics 2015-05-18 Bao-quan Ai

We experimentally investigate the phenomenon of a quantum ratchet created by exposing a Bose-Einstein Condensate to short pulses of a potential which is periodic in both space and time. Such a ratchet is manifested by a directed current of…

Quantum Physics · Physics 2013-05-23 R. K. Shrestha , J. Ni , W. K. Lam , S. Wimberger , G. S. Summy

We investigated three models of Brownian motors which convert rotational diffusion into directed translational motion by switching on and off a potential. In the first model a spatially asymmetric potential generates directed translational…

Statistical Mechanics · Physics 2009-11-11 Brian Geislinger , Ryoichi Kawai

The quantum dynamics of a two-state system (qubit) can be governed by means of external control parameters present in time-dependent bias pulses of special forms. We consider the class of biases for which the time evolution equation without…

We have studied the temporal evolution of a quantum system subjected to strong dissipation at ultra-low temperatures where the system-bath interaction represents the leading energy scale. In this regime, theory predicts the time evolution…

We investigate the dynamics of Brownian particles in internal state- dependent symmetric and periodic potentials. Although no space or time symmetry of the Hamiltonian is broken, we show that directed transport can appear. We demonstrate…

Other Condensed Matter · Physics 2009-11-10 Laurent Sanchez-Palencia

Duality is considered for the perturbation theory by deriving, given a series solution in a small parameter, its dual series with the development parameter being the inverse of the other. A dual symmetry in perturbation theory is…

High Energy Physics - Theory · Physics 2016-09-06 Marco Frasca

A Josephson junction embedded in a dissipative circuit can be externally driven to induce nonlinear dynamics of its phase. Classically, under sufficiently strong driving and weak damping, dynamic multi-stability emerges associated with…

Mesoscale and Nanoscale Physics · Physics 2019-05-08 Jennifer Gosner , Björn Kubala , Joachim Ankerhold

We study by simulation a mixture of active (run-and-tumble) and passive (Brownian) particles with repulsive exclusion interactions in one dimension, subject to a ratchet (smoothed sawtooth) potential. Such a potential is known to rectify…

Statistical Mechanics · Physics 2022-04-27 Jean-François Derivaux , Robert L. Jack , Michael E. Cates

Ratchet effect in a driven underdamped periodic potential system is studied. The presence of a space dependent and periodic friction coefficient, but with a phase difference with the symmetric periodic potential is shown to generate…

Statistical Mechanics · Physics 2017-01-04 Shantu Saikia

The problem of the classical deterministic dynamics of a particle in a periodic asymmetric potential of the ratchet type is addressed. When the inertial term is taken into account, the dynamics can be chaotic and modify the transport…

Condensed Matter · Physics 2007-05-23 José L. Mateos

We study impact of inertia on directed transport of a Brownian particle under non-equilibrium conditions: the particle moves in a one-dimensional periodic and symmetric potential, is driven by both an unbiased time-periodic force and a…

Statistical Mechanics · Physics 2021-03-25 Aleksandra Słapik , Jerzy Łuczka , Jakub Spiechowicz

We investigate a system of Brownian particles weakly bound by attractive parity-symmetric potentials that grow at large distances as $V(x) \sim |x|^\alpha$, with $0 < \alpha < 1$. The probability density function $P(x,t)$ at long times…

Statistical Mechanics · Physics 2024-07-24 Lucianno Defaveri , Eli Barkai , David A. Kessler

Considering a double-headed Brownian motor moving with both translational and rotational degrees of freedom, we investigate the directed transport properties of the system in a traveling-wave potential. It is found that the traveling wave…

Biological Physics · Physics 2021-03-18 W. X. Wu , C. P. Li , Y. L. Song , Y. R. Han , Z. G. Zheng

The "ratchet principle" asserts that non-equilibrium systems which violate parity symmetry generically exhibit steady-state currents. As recently shown, there are exceptions to this principle, due to the existence of hidden time-reversal…

Statistical Mechanics · Physics 2026-01-15 Jessica Metzger , Sunghan Ro , Julien Tailleur

Stiff forces, which bind objects together or otherwise confine motion, are found widely in soft-matter systems - colloids with short range attractions, ligand-receptor contacts, particles in optical traps, fibres that resist stretching,…

Soft Condensed Matter · Physics 2026-01-15 Sophie Marbach , Adam Carter , Miranda Holmes-Cerfon

Here we present a Brownian ratchet based on plasmonic interactions. By periodically turning on and off a laser beam that illuminates a periodic array of plasmonic nanostructures with broken spatial symmetry, the random thermal motion of a…

Mesoscale and Nanoscale Physics · Physics 2014-01-27 Paloma A. Huidobro , Sadao Ota , Xiaodong Yang , Xiaobo Yin , F. J. Garcia-Vidal , Xiang Zhang

A Brownian Motor is a nanoscale or molecular device that combines the effects of thermal noise, spatial or temporal asymmetry, and directionless input energy to drive directed motion. Because of the input energy, Brownian motors function…

Statistical Mechanics · Physics 2009-11-13 R. Dean Astumian

We study the Quantum Brownian motion of a charged particle moving in a harmonic potential in the presence of an uniform external magnetic field and linearly coupled to an Ohmic bath through momentum variables. We analyse the growth of the…

Statistical Mechanics · Physics 2022-08-31 Suraka Bhattacharjee , Urbashi Satpathi , Supurna Sinha