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The time-dependent tunnelling current arising from the electron-hole recombination of exciton state is theoretically studied using the nonequilibrium Green's function technique and the Anderson model with two energy levels. The charge…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 David M. -T. Kuo

We present a perspective of simple models of nonequilibrium directed transport described in terms of a Langevin equation formalism. We consider a Brownian particle under various circumstances and driven by thermal (equilibrium) and…

Statistical Mechanics · Physics 2024-06-04 J. Spiechowicz , J. Łuczka

At sufficiently low temperatures, the reaction rates in solids are controlled by quantum rather than by thermal fluctuations. We solve the Schr\"odinger equation for a Gaussian wave packet in a nonstation-ary harmonic oscillator and derive…

We analyze the behavior of a Brownian particle moving in a double-well potential. The escape probability of this particle over the potential barrier from a metastable state toward another state is known as the Kramers problem. In this work…

Chaotic Dynamics · Physics 2009-11-13 A. O. Bolivar

The classical equation of motion of a charged point particle, including its radiation reaction, is described by the Lorentz-Dirac equation. We found a new class of solutions that describe tunneling (in a completely classical context!). For…

High Energy Physics - Theory · Physics 2007-05-23 Frederik Denef , Joris Raeymaekers , Urban M. Studer , Walter Troost

Generalizing response theory of open systems far from equilibrium is a central quest of nonequilibrium statistical physics. Using stochastic thermodynamics, we develop an algebraic method to study the response of nonequilibrium steady state…

Statistical Mechanics · Physics 2023-08-09 Timur Aslyamov , Massimiliano Esposito

The recently discovered supersymmetric generalizations of Langevin dynamics and Kramers equation can be utilized for the exploration of free energy landscapes of systems whose large time-scale separation hampers the usefulness of standard…

Statistical Mechanics · Physics 2007-05-23 Alessandro Mossa , Cecilia Clementi

We consider a charged Brownian gas under the influence of external and non uniform electric, magnetic and mechanical fields, immersed in a non uniform bath temperature. With the collision time as an expansion parameter, we study the…

Statistical Mechanics · Physics 2013-08-01 R. E. Lagos , Tania P. Simões

We derive a formula for the quantum corrections to the electrical current for a metal out of equilibrium. In the limit of linear current-voltage characteristics our formula reproduces the well known Altshuler-Aronov correction to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Schwab , R. Raimondi

We discuss the notion of nonequilibrium chemical potential in gases of non-interacting active particles filling two compartments separated by a potential energy barrier. Different types of active particles are considered: run-and-tumble…

Statistical Mechanics · Physics 2019-03-11 Jules Guioth , Eric Bertin

We discuss a numerical method to study electron transport in mesoscopic devices out of equilibrium. The method is based on the solution of operator equations of motion, using efficient Chebyshev time propagation techniques. Its peculiar…

Mesoscale and Nanoscale Physics · Physics 2010-02-20 A. Alvermann , H. Fehske

Time-dependent nonequilibrium Green's functions are used to study electron transport properties in a device consisting of two linear chain leads and a time-dependent interleads coupling that is switched on non-adiabatically. We derive a…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Eduardo C. Cuansing , Gengchiau Liang

A Langevin equation is proposed to describe the transport of overdamped Brownian particles in a periodic rough potential and driven by an unbiased periodic force. The equation can be transformed into the Fokker-Planck equation by using the…

Statistical Mechanics · Physics 2023-04-05 Peng Wang , Yang Zhang , Peng-Juan Zhang , Jie Huo , Xu-Ming Wang

Nanoelectromechanical systems are characterized by an intimate connection between electronic and mechanical degrees of freedom. Due to the nanoscopic scale, current flowing through the system noticeably impacts the vibrational dynamics of…

Mesoscale and Nanoscale Physics · Physics 2012-04-11 Niels Bode , Silvia Viola Kusminskiy , Reinhold Egger , Felix von Oppen

The thermal response of nonequilibrium systems requires the knowledge of concepts that go beyond entropy production. This is showed for systems obeying overdamped Langevin dynamics, either in steady states or going through a relaxation…

Statistical Mechanics · Physics 2016-08-31 Gianmaria Falasco , Marco Baiesi

The conductance through a mesoscopic system of interacting electrons coupled to two adjacent leads is conventionally derived via the Keldysh nonequilibrium Green's function technique, in the limit of noninteracting leads [see Y. Meir…

Strongly Correlated Electrons · Physics 2012-08-16 Yuan Li , Mansoor B. A. Jalil , Seng Ghee Tan

We present a solution to the problem of AC current partition in a multi-probe mesoscopic conductor within the nonequilibrium Green's function formalism. This allows the derivation of dynamic conductance which is appropriate for…

Condensed Matter · Physics 2009-10-31 Baigeng Wang , Jian Wang , Hong Guo

We study the tunneling current between two counterpropagating edge modes described by chiral Luttinger liquids when the tunneling takes place along an extended region. We compute this current perturbatively by using a tunnel Hamiltonian.…

Other Condensed Matter · Physics 2009-11-11 M. Aranzana , N. Regnault , Th. Jolicoeur

We present a theoretical treatment of energy transfer in a molecular motor described in terms of overdamped Brownian motion on a multidimensional tilted periodic potential. The tilt acts as a thermodynamic force driving the system out of…

Soft Condensed Matter · Physics 2013-10-11 K. J. Challis , Michael W. Jack

An effective description is presented for a Brownian particle in a magnetized plasma. In order to systematically capture various corrections to linear Langevin equation, we construct effective action for the Brownian particle, to quartic…

High Energy Physics - Theory · Physics 2022-10-06 Yanyan Bu , Biye Zhang , Jingbo Zhang