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Using Gaussian integral transform techniques borrowed from functional-integral field theory and the replica trick we derive a version of the coherent-potential approximation (CPA) suited for describing ($i$) the diffusive (hopping) motion…

Disordered Systems and Neural Networks · Physics 2015-06-15 S. Köhler , G. Ruocco , W. Schirmacher

We obtain the fluctuations for the occupation time of one-dimensional symmetric exclusion processes with speed change, where the transition rates (conductances) are driven by a general function W. The approach does not require sharp bounds…

Probability · Mathematics 2014-07-31 Tertuliano Franco , Patrícia Gonçalves , Adriana Neumann

Recent studies indicated that helical organic molecules, such as DNA and $\alpha$-helical protein, can behave as Thouless quantum pumps when a rotating electric field is applied perpendicularly to their helical axes. Here we investigate the…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 Ai-Min Guo , Pei-Jia Hu , Xiao-Hui Gao , Tie-Feng Fang , Qing-Feng Sun

We study the current and the associated noise for the transport through a two-site molecule driven by an external oscillating field. Within a high-frequency approximation, the time-dependent Hamiltonian is mapped to a static one with…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sigmund Kohler , Sébastien Camalet , Michael Strass , Jörg Lehmann , Gert-Ludwig Ingold , Peter Hänggi

By means of time-dependent density matrix renormalization group calculations we study topological quantum pumping in a strongly interacting system. The system under consideration is described by the Hamiltonian of a one-dimensional extended…

Strongly Correlated Electrons · Physics 2013-02-26 Davide Rossini , Marco Gibertini , Vittorio Giovannetti , Rosario Fazio

We study a continuous-space version of the totally asymmetric simple exclusion process (TASEP), consisting of interacting Brownian particles subject to a driving force in a periodic external potential. Particles are inserted at the leftmost…

Statistical Mechanics · Physics 2010-02-02 Jose Eduardo de Oliveira Rodrigues , Ronald Dickman

We consider the prototypical "piston pump" operating on a ring, where a circulating current is induced by means of an AC driving. This can be regarded as a generalized Fermi-Ulam model, incorporating a finite-height moving wall (piston) and…

Chaotic Dynamics · Physics 2012-05-08 Maya Chuchem , Thomas Dittrich , Doron Cohen

A dc current can be pumped through an interacting system by periodically varying two independent parameters such as magnetic field and a gate potential. We present a formula for the adiabatic pumping current in general interacting systems,…

Strongly Correlated Electrons · Physics 2015-06-25 Eran Sela , Yuval Oreg

A well-characterised sample of silicon tunable-barrier electron pump has been operated at a frequency of 2 GHz using a custom drive waveform, generating a pump current of 320 pA. Precision measurements of the current were made as a function…

Mesoscale and Nanoscale Physics · Physics 2023-08-02 Stephen Giblin , Gento Yamahata , Akira Fujiwara , Masaya Kataoka

We consider stochastic motion of a particle on a cyclic graph with arbitrarily periodic time dependent kinetic rates. We demonstrate duality relations for statistics of currents in this model and in its continuous version of a diffusion in…

Statistical Mechanics · Physics 2015-03-19 Jie Ren , V. Y. Chernyak , N. A. Sinitsyn

Aiming to establish a rigorous link between macroscopic random motion (described e.g. by Langevin-type theories) and microscopic dynamics, we have undertaken a kinetic-theoretical study of the dynamics of a classical test-particle weakly…

Statistical Mechanics · Physics 2009-11-11 I. Kourakis , A. P. Grecos

Synthetic nanoscale complexes capable of mechanical movement are often studied theoretically using discrete-state models that involve instantaneous transitions between metastable states. A number of general results have been derived within…

Statistical Mechanics · Physics 2012-12-21 Dibyendu Mandal , Christopher Jarzynski

We obtain stationary transport in a Hamiltonian system with ac driving in the presence of a dc bias. A particle in a periodic potential under the influence of a time-periodic field possesses a mixed phase space with regular and chaotic…

Statistical Mechanics · Physics 2007-05-23 S. Denisov , S. Flach , P. Hanggi

Starting from the Boltzmann equation we calculate the frequency and the damping of the monopole and quadrupole oscillations of a classical gas confined in an harmonic potential. The collisional term is treated in the relaxation time…

Condensed Matter · Physics 2009-10-31 D. Guery-Odelin , F. Zambelli , J. Dalibard , S. Stringari

An asymmetric exclusion model on an open chain with random rates for hopping particles, where overtaking is also possible, is studied numerically and by computer simulation. The phase structure of the model and the density profiles near the…

Statistical Mechanics · Physics 2007-05-23 A. Tonddast-Navaei , V. Karimipour , M. R. Ejtehadi

We consider the fluctuations of a time-integrated particle current around an atypical value in a generic stochastic Markov process involving classical particles with two-site interaction and hardcore repulsion on a finite one-dimensional…

Statistical Mechanics · Physics 2016-01-20 Pegah Torkaman , Farhad H. Jafarpour

Conventional spin pumping, driven by magnetization dynamics, is longitudinal since the pumped spin current flows normal to the interface between the ferromagnet and the conductor. We predict \textit{Hall-type/transverse} and…

Mesoscale and Nanoscale Physics · Physics 2026-01-12 Ping Li , Chengyuan Cai , Tao Yu

Directed classical current that increases linearly with time without using a biased external field is obtained in a simple model Hamiltonian system derived from a modified kicked rotor model, by breaking the spatial symmetry of the…

Chaotic Dynamics · Physics 2009-11-10 Jiangbin Gong , Paul Brumer

We develop the Floquet scattering theory for quantum mechanical pumping in mesoscopic conductors. The nonequilibrium distribution function, the dc charge and heat currents are investigated at arbitrary pumping amplitude and frequency. For…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Moskalets , M. Buttiker

A system consisting of two parallel coupled channels where particles in one of them follow the rules of totally asymmetric exclusion processes (TASEP) and in another one move as in symmetric simple exclusion processes (SSEP) is investigated…

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