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Stochastic resetting and noise-enhanced stability are two phenomena which can affect the lifetime and relaxation of nonequilibrium states. They can be considered as measures of controlling the efficiency of the completion process when a…

Statistical Mechanics · Physics 2022-06-22 Karol Capała , Bartłomiej Dybiec , Ewa Gudowska-Nowak

Stochastic resonance is a phenomenon in which fluctuations enhance an otherwise weak signal. It has been found in many different systems in paleoclimatology, biology, medicine, and physics. The classical stochastic resonance due to thermal…

Mesoscale and Nanoscale Physics · Physics 2025-10-27 H. Mannel , J. Zöllner , E. Kleinherbers , M. Zöllner , N. Schwarz , F. Rimek , A. D. Wieck , A. Ludwig , A. Lorke , J. König , M. Geller

The cloud of cold atoms obtained from a magneto-optical trap is known to exhibit two types of instabilities in the regime of high atomic densities: stochastic instabilities and deterministic instabilities. In the present paper, the…

Atomic Physics · Physics 2009-11-10 Daniel Hennequin

Stochastic resonance (SR) is a prominent phenomenon in many natural and engineered noisy system, whereby the response to a periodic forcing is greatly amplified when the intensity of the noise is tuned to within a specific range of values.…

Statistical Mechanics · Physics 2019-12-25 Valerio Lucarini

We study theoretically a bistable systems with time-delayed feedback driven by weak periodic force. The effective potential function and the steady-state probability density are derived. The delay time and the strength of its feedback can…

Statistical Mechanics · Physics 2009-01-15 Rui-Hua Shao , Yong Chen

We analyse the effect of synchronization between noise and periodic signal in a two-state spatially extended system analytically. Resonance features are demonstrated. To have the maximum cooperation between signal and noise, it is shown…

Statistical Mechanics · Physics 2007-05-23 Asish K. Dhara , S. R. Banerjee

An amplification of a weak low-frequency harmonic signal is experimentally observed in a single-junction-superconducting quantum interferometer (RF SQUID loop) due to stochastic transitions between two or more metastable states of the loop…

Superconductivity · Physics 2015-06-23 O. G. Turutanov , V. Yu. Lyakhno , V. I. Shnyrkov

In this tutorial, three examples of stochastic systems are considered: A strongly-damped oscillator, a weakly-damped oscillator and an undamped oscillator (integrator) driven by noise. The evolution of these systems is characterized by the…

Statistical Mechanics · Physics 2022-02-02 C. J. McKinstrie , T. J. Stirling , A. S. Helmy

We study a noisy oscillator with pulse delayed feedback, theoretically and in an electronic experimental implementation. Without noise, this system has multiple stable periodic regimes. We consider two types of noise: i) phase noise acting…

Adaptation and Self-Organizing Systems · Physics 2020-08-26 Vladimir Klinshov , Dmitry Shchapin , Otti D'Huys

Stochastic resonance is a counter-intuitive concept[1,2], ; the addition of noise to a noisy system induces coherent amplification of its response. First suggested as a mechanism for the cyclic recurrence of ice ages, stochastic resonance…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 R. L. Badzey , P. Mohanty

A stochastic averaging technique based on energy-dependent frequency is extended to dynamical systems with triple-well potential driven by colored noise. The key procedure is the derivation of energy-dependent frequency according to the…

Dynamical Systems · Mathematics 2020-03-18 Yanxia Zhang , Yanfei Jin

We consider a particle in the over-damped regime at zero temperature under the influence of a sawtooth potential and of a noisy force, which is correlated in time. A current occurs, even if the mean of the noisy force vanishes. We calculate…

Statistical Mechanics · Physics 2009-10-30 Heiner Kohler , Andreas Mielke

For stochastic systems with nonvanishing noise, i.e., at the desired state the noise port does not vanish, it is impossible to achieve the global stability of the desired state in the sense of probability. This bad property also leads to…

Dynamical Systems · Mathematics 2016-07-12 Zhou Fang , Chuanhou Gao

We consider stochastic resonance for a diffusion with drift given by a potential, which has two metastable states and two pathways between them. Depending on the direction of the forcing, the height of the two barriers, one for each path,…

Probability · Mathematics 2018-03-05 Tommy Liu

We have analyzed the phenomenon of stochastic resonance in a system driven by non Gaussian noises. We have considered both white and colored noises. In the latter case we have obtained a consistent Markovian approximation that enables us to…

Statistical Mechanics · Physics 2007-05-23 M. A. Fuentes , C. Tessone , H. S. Wio , R. Toral

In this study, we explore an overdamped system of a dimer in a bistable potential immersed in a heat bath. The monomers interact via the combination of the Lennard-Jones potential and the harmonic potential. We have introduced a short-range…

Statistical Mechanics · Physics 2024-11-27 Dhruv Agrawal , W. L. Reenbohn

Complex coherent dynamics is present in a wide variety of neural systems. A typical example is the voltage transitions between up and down states observed in cortical areas in the brain. In this work, we study this phenomenon via a…

Neurons and Cognition · Quantitative Biology 2015-05-19 Jorge F. Mejias , Hilbert J. Kappen , Joaquin J. Torres

Noise is ubiquitous in real quantum systems, leading to non-Hermitian quantum dynamics, and may affect the fundamental states of matter. Here we report in experiment a quantum simulation of the two-dimensional non-Hermitian quantum…

Quantum Physics · Physics 2022-07-01 Zidong Lin , Lin Zhang , Xinyue Long , Yu-ang Fan , Yishan Li , Kai Tang , Jun Li , XinFang Nie , Tao Xin , Xiong-Jun Liu , Dawei Lu

We analyze the stochastic thermodynamics of systems with continuous space of states. The evolution equation, the rate of entropy production, and other results are obtained by a continuous time limit of a discrete time formulation. We point…

Statistical Mechanics · Physics 2020-08-27 Mário J. de Oliveira

We consider stochastic partial differential equations (SPDEs) on the one-dimensional torus, driven by space-time white noise, and with a time-periodic drift term, which vanishes on two stable and one unstable equilibrium branches. Each of…

Probability · Mathematics 2024-02-27 Nils Berglund , Rita Nader