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In a recent study, (Jain et al 2007 Phys. Rev. Lett. 99 190601), a symmetric exclusion process with time-dependent hopping rates was introduced. Using simulations and a perturbation theory, it was shown that if the hopping rates at two…

Statistical Mechanics · Physics 2008-11-17 Rahul Marathe , Kavita Jain , Abhishek Dhar

We present and compare different versions of a simple particle pump-model that describes average directed current of repulsively interacting particles in a narrow channel, due to time-varying local potentials. We analyze the model on…

Statistical Mechanics · Physics 2015-09-16 Debasish Chaudhuri

We consider the overdamped motion of Brownian particles, interacting via particle exclusion, in an external potential that varies with time and space. We show that periodic potentials that maintain specific position-dependent phase…

Statistical Mechanics · Physics 2011-05-09 Debasish Chaudhuri , Abhishek Dhar

We consider a classical overdamped Brownian particle moving in a symmetric periodic potential. We show that a net particle flow can be produced by adiabatically changing two external periodic potentials with a spatial and a temporal phase…

Statistical Mechanics · Physics 2009-11-07 O. Usmani , E. Lutz , M. Buttiker

We study stochastic particle transport between two reservoirs along a channel, where the particles are pumped against a bias by a traveling wave potential. It is shown that phase transitions of period-averaged densities or currents occur…

Statistical Mechanics · Physics 2018-07-03 Marcel Dierl , Wolfgang Dieterich , Mario Einax , Philipp Maass

We report on the transport properties of a single mode quantum pump that operates by the simultaneous translation and oscillation of a potential well. We examine the dynamics comparatively using quantum, classical and semiclassical…

Quantum Gases · Physics 2018-05-23 Kunal K. Das , Joshua Garner , Kevin Ruppert

We analyze a generic model of mesoscopic machines driven by the nonadiabatic variation of external parameters. We derive a formula for the probability current; as a consequence we obtain a no-pumping theorem for cyclic processes satisfying…

Statistical Mechanics · Physics 2009-10-02 Jordan M. Horowitz , Christopher Jarzynski

We demonstrate exciting similarities between classical and quantum many body systems whose microscopic dynamics are composed of non-reciprocal three-site facilitated exclusion processes. We show that the quantum analogue of the classical…

Statistical Mechanics · Physics 2023-02-28 Amit Kumar Chatterjee , Adhip Agarwala

A totally asymmetric exclusion process consisting of classical particles with next-nearest-neighbor interactions has been considered on a 1D discrete lattice with a ring geometry. Using large deviation techniques, we have investigated…

Statistical Mechanics · Physics 2020-01-29 Sara Kaviani , Farhad H. Jafarpour

We study current fluctuations in lattice gases in the hydrodynamic scaling limit. More precisely, we prove a large deviation principle for the empirical current in the symmetric simple exclusion process with rate functional I. We then…

Probability · Mathematics 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona-Lasinio , C. Landim

We study steady state of the totally asymmetric simple exclusion process with inhomogeneous hopping rates associated with sites (site-wise disorder). Using the fact that the non-normalized steady-state weights which solve the master…

Statistical Mechanics · Physics 2013-07-19 J. Szavits-Nossan

The control of chemical dynamics requires understanding the effect of time-dependent transition rates between states of chemo-mechanical molecular configurations. Pumping refers to generating a net current, e.g. per period in the…

Statistical Mechanics · Physics 2015-05-18 C. Maes , K. Netocny , S. R. Thomas

A topological pump enables robust transport of quantized particles when the system parameters are varied in a cyclic process. In previous studies, topological pump was achieved inhomogeneous systems guaranteed by a topological invariant of…

Mesoscale and Nanoscale Physics · Physics 2021-04-08 Bi-Ye Xie , Oubo You , Shuang Zhang

Two influential exact results in classical one-dimensional diffusive transport are about current statistics for the symmetric simple exclusion process: one in the stationary state on a finite line coupled with two unequal reservoirs at the…

Statistical Mechanics · Physics 2026-05-07 Kapil Sharma , Soumyabrata Saha , Sandeep Jangid , Tridib Sadhu

The possibility of using single molecule junctions as electron pumps for energy conversion and storage is considered. It is argued that the small dimensions of these systems enable to make use of unique intra-molecular quantum coherences in…

Quantum Physics · Physics 2015-05-20 Roie Volkovich , Uri Peskin

Simple exclusion processes for particles moving along two parallel lattices and jumping between them are theoretically investigated for asymmetric rates of transition between the channels. An approximate theoretical approach, that describes…

Statistical Mechanics · Physics 2009-11-11 Ekaterina Pronina , Anatoly B. Kolomeisky

We study a one-dimensional exclusion process with a fixed jump length $I \ge 1$ in which a particle may advance or retreat $I$ sites provided all intermediate sites are vacant, with hopping rates of Arrhenius type depending on the local…

Statistical Mechanics · Physics 2026-04-03 Lam Thi Nhung , Ngo Phuoc Nguyen Ngoc , Huynh Anh Thi

Asymmetric exclusion processes for particles moving on parallel channels with inhomogeneous coupling are investigated theoretically. Particles interact with hard-core exclusion and move in the same direction on both lattices, while…

Statistical Mechanics · Physics 2009-11-13 K. Tsekouras , A. B. Kolomeisky

We study a one-dimensional quantum pump composed of two oscillating delta-functional barriers. The linear and non-linear regimes are considered. The harmonic signal applied to any or both barriers causes the stationary current. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. M. Mahmoodian , L. S. Braginskii , M. V. Entin

Using the recently discovered strong negative dependence properties of the symmetric exclusion process, we derive general conditions for when the normalized current of particles between regions converges to the Gaussian distribution. The…

Probability · Mathematics 2010-09-27 Alexander Vandenberg-Rodes
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