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As a generic model for transport of interacting fermions through a barrier or interstitials in a lattice, quantum Brownian motion in a periodic potential is studied. There is a duality transformation between the continuous coordinate or…

Condensed Matter · Physics 2007-05-23 M. Sassetti , H. Schomerus , U. Weiss

We consider the transport statistics of classical bistable systems driven by noise. The stochastic path integral formalism is used to investigate the dynamics and distribution of transmitted charge. Switching rates between the two stable…

Statistical Mechanics · Physics 2007-05-23 Andrew N. Jordan , Eugene V. Sukhorukov

We investigate the electron transport properties of a model magnetic molecule formed by two magnetic centers whose exchange coupling can be altered with a longitudinal electric field. In general we find a negative differential conductance…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Sujeet K. Shukla , Stefano Sanvito

Advective nature of the electrostatic turbulent flux of plasma energy is studied numerically in a nearly adiabatic state. Such a state is represented by the Hasegawa-Mima equation that is driven by a noise that may model the destabilization…

Plasma Physics · Physics 2015-06-18 Byung-Hoon Min , Chan-Yong An , Chang-Bae Kim

We study a Langevin equation describing the stochastic motion of a particle in one dimension with coordinate $x$, which is simultaneously exposed to a space-dependent friction coefficient $\gamma(x)$, a confining potential $U(x)$ and…

Soft Condensed Matter · Physics 2021-05-12 Davide Breoni , Hartmut Löwen , Ralf Blossey

Within the second-order non-Markovian master equation description, we develop an efficient method for calculating the noise spectrum of transport current through interacting mesoscopic systems. By introducing proper current-related density…

Mesoscale and Nanoscale Physics · Physics 2023-01-04 Yishan Xu , Jinshuang Jin , Shikuan Wang , YiJing Yan

We present studies of the electron transport and circular currents induced by the bias voltage and the magnetic flux threading a ring of three quantum dots coupled with two electrodes. Quantum interference of electron waves passing through…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Bogdan R. Bułka , Jakub Łuczak

Properties of transport of molecular motors are investigated. A simplified model based on the concept of Brownian ratchets is applied. We analyze a stochastic equation of motion by means of numerical methods. The transport is systematically…

Statistical Mechanics · Physics 2011-12-07 Lukasz Machura , Marcin Kostur , Jerzy Luczka

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 noise-assisted, directed transport in a one-dimensional dissipative, inertial Brownian motor of the rocking type that is exposed to an external bias is investigated. We demonstrate that the velocity-load characteristics is distinctly…

Statistical Mechanics · Physics 2009-11-11 Marcin Kostur , Lukasz Machura , Peter Hänggi , Jurek Luczka , Peter Talkner

The semiclassical Boltzmann transport equation of charged, massive fermions in a rotating frame of reference, in the presence of external electromagnetic fields is solved in the relaxation time approach to establish the distribution…

Mathematical Physics · Physics 2018-03-02 O. F. Dayi , E. Yunt

We study the coherence of transport of an overdamped Brownian particle in frictional ratchet system in the presence of external Gaussian white noise fluctuations. The analytical expressions for the particle velocity and diffusion…

Statistical Mechanics · Physics 2009-11-11 Raishma Krishnan , Debasis Dan , A. M. Jayannavar

We demonstrate theoretically and experimentally the phenomenon of vibrational resonance in a periodic potential, using cold atoms in an optical lattice as a model system. A high-frequency (HF) drive, with frequency much larger than any…

Statistical Mechanics · Physics 2015-06-03 A. Wickenbrock , P. C. Holz , N. A. Abdul Wahab , P. Phoonthong , D. Cubero , F. Renzoni

The famous Johnson-Nyquist formula relating noise current to conductance has a microscopic generalization relating noise current density to microscopic conductivity, with corollary relations governing noise in the components of the…

Computational Physics · Physics 2013-08-27 M. T. Homer Reid , Alejandro W. Rodriguez , Steven G. Johnson

Recent progress in the field of molecular electronics has revealed the fundamental importance of the coupling between the electronic degrees of freedom and specific vibrational modes. Considering the examples of a molecular dimer and a…

Mesoscale and Nanoscale Physics · Physics 2017-02-22 Jakub K. Sowa , Jan A. Mol , G. Andrew D. Briggs , Erik M. Gauger

Excitonic transport in static disordered one dimensional systems is studied in the presence of thermal fluctuations that are described by the Haken-Strobl-Reineker model. For short times, non-diffusive behavior is observed that can be…

Mesoscale and Nanoscale Physics · Physics 2015-05-05 Jeremy M. Moix , Michael Khasin , Jianshu Cao

We investigate the effect of quantisation of vibrational modes on a system in which the transport path is through a quantum dot mounted on a cantilever or spring such that tunnelling to and from the dot is modulated by the oscillation. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Angus MacKinnon , Andrew D Armour

We explore electron transport through a moebius strip attached to two metallic electrodes by the use of Green's function technique. A parametric approach is used based on the tight-binding model to characterize the electron transport…

Mesoscale and Nanoscale Physics · Physics 2009-11-06 Santanu K. Maiti

A numerical approach is employed to explain transport characteristics in realistic, quantum Hall based Aharonov-Bohm interferometers. First, the spatial distribution of incompressible strips, and thus the current channels, are obtained…

Mesoscale and Nanoscale Physics · Physics 2012-05-24 V. Kotimaki , E. Cicek , A. Siddiki , E. Rasanen

The motion of overdamped particles in a one-dimensional spatially-periodic potential is considered. The potential is also randomly-fluctuating in time, due to multiplicative colored noise terms, and has a deterministic tilt. Numerical…

Statistical Mechanics · Physics 2013-06-06 James P. Gleeson