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The relationship between anomalous superdiffusive behavior and particle trapping probability is analyzed on a rocking ratchet potential with spatially correlated weak disorder. The trapping probability density is shown, analytically and…

Statistical Mechanics · Physics 2019-02-18 D. G. Zarlenga , G. L. Frontini , Fereydoon Family , C. M. Arizmendi

We propose a mechanism of stochastic resonance induced by spatial noise (electric random fields) in ferroelectrics. The calculations demonstrate the characteristic of the stochastic resonance: certain random field can increase the…

Statistical Mechanics · Physics 2009-11-07 Zhi-Rong Liu , Wenhui Duan , Bing-Lin Gu , Xiao-Wen Zhang

Stochastic resonance (SR) manifests as switching dynamics between two quasi-stationary states in the stochastic Mackey-Glass equation. We identify chaotic SR, arising from the coexistence of resonance and chaos in stochastic dynamics. In…

Chaotic Dynamics · Physics 2026-01-09 Eiki Kojima , Yuzuru Sato

In this paper, we study the stochastic resonance (SR) effect in an optomechanical system driven by a strong coupling field and two weak signals in both semiclassical and quantum frameworks. In the semiclassical description, the SR phenomena…

Optics · Physics 2018-11-21 Min Xie , Bixuan Fan , Xiaoli He , Qingqing Chen

We study stochastic resonance in an over-damped approximation of the stochastic Duffing oscillator from a random dynamical systems point of view. We analyse this problem in the general framework of random dynamical systems with a…

Dynamical Systems · Mathematics 2015-10-26 Anna Maria Cherubini , Jeroen S. W. Lamb , Martin Rasmussen , Yuzuru Sato

The archetypal system demonstrating stochastic resonance is nothing more than a threshold triggered device. It consists of a periodic modulated input and noise. Every time an output crosses the threshold the signal is recorded. Such a…

Statistical Mechanics · Physics 2014-01-10 Krzysztof Szczepaniec , Bartlomiej Dybiec

We develop a theory of the ratchet effect in a lateral plasmonic crystal (LPC) formed by a two dimensional electron gas under a periodic dual-grating gate. The system is driven by terahertz radiation, and the spatial asymmetry required for…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 I. V. Gorbenko , S. O. Potashin , V. Yu. Kachorovskii

A nonlinear oscillator with an abruptly inhomogeneous restoring force driven by an uniform oscillating force exhibits stochastic properties under specific resonance conditions. This behaviour elucidates the elementary mechanism of the…

Plasma Physics · Physics 2015-05-19 S. V. Bulanov , A. Yogo , T. Zh. Esirkepov , J. K. Koga , S. S. Bulanov , K. Kondo , M. Kando

We consider the statics and dynamics of a single particle trapped in a one-dimensional harmonic potential, and subjected to a driving noise with memory, that is represented by a resetting stochastic process. The finite memory of this…

Statistical Mechanics · Physics 2024-01-18 Mathis Gueneau , Satya N. Majumdar , Gregory Schehr

Previous studies have shown that noise can induce coherence resonance in some nonlinear dynamical systems close to a bifurcation of a periodic motion, such as in excitable systems. We demonstrate that coherence resonance can be observed in…

Chaotic Dynamics · Physics 2007-05-23 Bambi Hu , Changsong Zhou

One of the many measures of the non-equilibrium nature of a system is the existence of a non-zero steady state current which is especially relevant for many biological systems. To this end, we study the non-equilibrium dynamics of a…

Soft Condensed Matter · Physics 2024-12-13 Saloni Saxena , Marko Popović , Frank Jülicher

Ultra-cold atomic systems are among the most promising platforms that have the potential to shed light on the complex behavior of many-body quantum systems. One prominent example is the case of a dense ensemble illuminated by a strong…

Ultrafast disordering observed after photo-excitation challenges the conventional picture of photo-induced transitions where symmetry-breaking takes place along a single collective coordinate. We propose that key spectroscopic signatures of…

Strongly Correlated Electrons · Physics 2025-07-31 Francesco Valiera , Antonio Picano , Martin Eckstein

Motivated to understand the asymptotic behavior of periodically driven thermodynamic systems, we study the prototypical example of Brownian particle, overdamped and underdamped, in harmonic potentials subjected to periodic driving. The…

Statistical Mechanics · Physics 2020-05-12 Shakul Awasthi , Sreedhar B. Dutta

High frequency stochastic resonance (SR) phenomena, associated with fluctuational transitions between coexisting periodic attractors, have been investigated experimentally in an electronic model of a single-well Duffing oscillator bistable…

We demonstrate the operation of a quantum ratchet in the absence of dissipative processes within the observation time (Hamiltonian regime). An atomic rubidium Bose-Einstein condensate is exposed to a sawtooth-like optical lattice potential,…

The ratchet phenomenon is a means to get directed transport without net forces. Originally conceived to rectify stochastic motion and describe operational principles of biological motors, the ratchet effect can be used to achieve…

Quantum Gases · Physics 2016-03-11 Christopher Grossert , Martin Leder , Sergey Denisov , Peter Hänggi , Martin Weitz

Small lattice bipolarons driven by external harmonic fields are considered in the adiabatic approximation. Resonant excitation of ions modulates the trapping potential and promotes hole transfer between neighboring atomic layers. It leads…

Superconductivity · Physics 2016-07-14 Pavel Kornilovitch

We present a combined experimental and theoretical study describing the dynamical regimes displayed by a paramagnetic colloidal particle externally driven above a stripe-patterned magnetic garnet film. A circularly polarized rotating…

Statistical Mechanics · Physics 2013-07-29 Arthur V. Straube , Pietro Tierno

The bifurcation and chaotic behaviour of unidirectionally coupled deterministic ratchets is studied as a function of the driving force amplitude ($a$) and frequency ($\omega$). A classification of the various types of bifurcations likely to…

Chaotic Dynamics · Physics 2009-11-11 U. E. Vincent , A. Kenfack , A. N. Njah , O. Akinlade