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We derive within a time-dependent scattering formalism expressions for both the current through ac-driven nanoscale conductors and its fluctuations. The results for the time-dependent current, its time average, and, above all, the driven…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sébastien Camalet , Sigmund Kohler , Peter Hänggi

We consider stochastic dynamics of a particle on a plane in presence of two noises and a confining parabolic potential - an analog of the experimentally-relevant Brownian Gyrator (BG) model. In contrast to the standard BG model, we suppose…

Statistical Mechanics · Physics 2025-12-16 Timothée Herbeau , Leonid Pastur , Pascal Viot , Gleb Oshanin

A system of coherently-driven two-level atoms is analyzed in presence of two independent stochastic perturbations: one due to collisions and a second one due to phase fluctuations of the driving field. The behaviour of the quantum…

Quantum Physics · Physics 2009-11-10 P. Adam , A. Karpati , W. Gawlik , J. Janszky

We examine current fluctuations in tunnel junctions driven by a superposition of a constant and a sinusoidal voltage source. In standard setups the external voltage is applied to the tunneling element via an impedance providing an…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Moritz Frey , Hermann Grabert

We study transport of an inertial Brownian particle moving in a symmetric and periodic one-dimensional potential, and subjected to both a symmetric, unbiased external harmonic force as well as biased dichotomic noise $\eta(t)$ also known as…

Statistical Mechanics · Physics 2016-06-22 J. Spiechowicz , J. Luczka , L. Machura

We show that the correlated stochastic fluctuation of the friction coefficient can give rise to long-range directional motion of a particle undergoing Brownian random walk in a constant periodic energy potential landscape. The occurrence of…

Soft Condensed Matter · Physics 2009-11-07 Lorenzo Marrucci , Domenico Paparo , Markus Kreuzer

The effect of an AC perturbation on the shot noise of a fractional quantum Hall fluid is studied both in the weak and the strong backscattering regimes. It is known that the zero-frequency current is linear in the bias voltage, while the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. Crepieux , P. Devillard , T. Martin

The transport properties of Brownian ratchet was studied in the presence of stochastic intensity noise (SIN) in both overdamped and underdamped regimes. In the overdamped case, analytical solution using the matrix continued fraction method…

Statistical Mechanics · Physics 2015-03-19 Yoshihiko Hasegawa , Masanori Arita

We analyze the effects of noise on the traveling wave dynamics in neural fields. The noise influences the dynamics on two scales: first, it causes fluctuations in the wave profile, and second, it causes a random shift in the phase of the…

Probability · Mathematics 2015-08-06 Eva Lang

We study fluctuating tilt Brownian ratchets based on fractional subdiffusion in sticky viscoelastic media characterized by a power law memory kernel. Unlike the normal diffusion case the rectification effect vanishes in the adiabatically…

Statistical Mechanics · Physics 2012-06-04 Igor Goychuk , Vasyl Kharchenko

We present a complete framework of stochastic thermodynamics for a single-mode linear optical cavity driven on resonance. We first show that the steady-state intra-cavity field follows the equilibrium Boltzmann distribution. The effective…

The mobility of an overdamped particle, in a periodic potential tilted by a constant external field and moving in a medium with periodic friction coefficient is examined. When the potential and the friction coefficient have the same…

Statistical Mechanics · Physics 2009-10-31 Debasis Dan , Mangal C. Mahato , A. M. Jayannavar

Electrically connected and plasmonically enhanced molecular junctions combine the optical functionalities of high field confinement and enhancement (cavity function), and of high radiative efficiency (antenna function) with the electrical…

We investigate the resonance type behaviour of an overdamped Brownian particle in a bistable potential driven by external periodic signal. It has been shown previously that the input energy pumped into the system by the external drive shows…

Statistical Mechanics · Physics 2007-05-23 Debasis Dan , A. M. Jayannavar

Shot noise is a powerful tool to probe correlations and microscopic transport details that conductance measurements alone cannot reveal. Even in atomic-scale Au devices that are well described by Landauer-B{\"u}ttiker physics, complications…

Mesoscale and Nanoscale Physics · Physics 2017-04-07 Ruoyu Chen , Douglas Natelson

We have studied the Fano resonance in photon-assisted transport in a quantum dot and calculated both the coherent current and spectral density of shot noise. It is predicted, for the first time, that the shape of Fano profile will also…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Zhongshui Ma , Yu Zhu , Xin-Qi Li , Tsung-han Lin , Zhao-Bin Su

We study the role of multiplicative colored noise for different values of the correlation time $\tau_c$ in the dynamics of two competing species, described by generalized Lotka-Volterra equations. The multiplicative colored noise models the…

Statistical Mechanics · Physics 2007-05-23 D. Valenti , A. Fiasconaro , B. Spagnolo

The Landauer-B\"uttiker formalism provides a simple and insightful way for investigating many phenomena in mesoscopic physics. By this approach we derive general formulas for the energy properties and apply them to the basic setups. Of…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Danilo Sergi

We study the transport properties of a quantum dot driven by either a rotating magnetic field or an ac gate voltage using the Floquet master-equation approach. Both types of ac driving lead to photon-assisted tunneling where quantized…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 B. H. Wu , C. Timm

Stochastic resonance with white noise has been well established as a potential signal amplification mechanism in nanomechanical two-state systems. While white noise represents the archetypal stimulus for stochastic resonance, typical…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Tyler Dunn , Diego N. Guerra , Pritiraj Mohanty