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Transient properties of different physical systems with metastable states perturbed by external white noise have been investigated. Two noise-induced phenomena, namely the noise enhanced stability and the resonant activation, are…

Statistical Mechanics · Physics 2008-10-07 B. Spagnolo , A. A. Dubkov , A. L. Pankratov , E. V. Pankratova , A. Fiasconaro , A. Ochab-Marcinek

We experimentally study the fluctuations of the work done by an external Gaussian random force on two different stochastic systems coupled to a thermal bath: a colloidal particle in an optical trap and an atomic force microscopy cantilever.…

Statistical Mechanics · Physics 2010-04-20 Juan Ruben Gomez-Solano , Ludovic Bellon , Artyom Petrosyan , Sergio Ciliberto

We investigate the role of noise in the phenomenon of stochastic synchronization of switching events in a rocked, overdamped bistable potential driven by white Gaussian noise, the archetype description of Stochastic Resonance. We present a…

Many physical, chemical and biological processes rely on intrinsic oscillations to employ resonance responses to external stimuli of certain frequency. Such resonance phenomena in biological systems are typically explained by one of two…

We present a one-dimensional model for diffusion in a fluctuating lattice; that is a lattice which can be in two or more states. Transitions between the lattice states are induced by a combination of two processes: one periodic…

Statistical Mechanics · Physics 2007-05-23 Jorge A. Revelli , Carlos. E. Budde , Horacio S. Wio

We study an excitable active rotator with slowly adapting nonlinear feedback and noise. Depending on the adaptation and the noise level, this system may display noise-induced spiking, noise-perturbed oscillations, or stochastic busting. We…

Adaptation and Self-Organizing Systems · Physics 2020-08-26 Igor Franović , Serhiy Yanchuk , Sebastian Eydam , Iva Bačić , Matthias Wolfrum

Here we study a noise induced transition when the system is driven by a noise source taken as colored and non-Gaussian. We show--using both, a theoretical approximation and numerical simulations-- that there is a shift of the transition as…

Statistical Mechanics · Physics 2009-11-10 Horacio S. Wio , Raul Toral

The influence of external fluctuations in phase separation processes is analysed. These fluctuations arise from random variations of an external control parameter. A linear stability analysis of the homogeneous state shows that phase…

Condensed Matter · Physics 2009-10-30 J. Garcia-Ojalvo , A. M. Lacasta , J. M. Sancho , R. Toral

Modeling the dynamics of an individual active particle invariably involves an isotropic noisy self-propulsion component, in the form of run-and-tumble motion or variations around it. This nonequilibrium source of noise is neither…

Statistical Mechanics · Physics 2018-12-20 Étienne Fodor , Hisao Hayakawa , Julien Tailleur , Frédéric van Wijland

We analyze global stability properties of birhythmicity in a self-sustained system with random excitations. The model is a multi-limit cycles variation of the van der Pol oscillatorintroduced to analyze enzymatic substrate reactions in…

Chaotic Dynamics · Physics 2012-12-04 R. Yamapi , G. Filatrella , M. A. Aziz-Aloui

We study macroscopic behavior of populations of quadratic integrate-and-fire neurons subject to non-Gaussian noises; we argue that these noises must be alpha-stable whenever they are delta-correlated (white). For the case of…

Statistical Mechanics · Physics 2024-04-04 Denis S. Goldobin , Evelina V. Permyakova , Lyudmila S. Klimenko

We present an analytical framework to study the escape rate from a metastable state under the influence of two external multiplicative cross-correlated noise processes. Starting from a phenomenological stationary Langevin description with…

Soft Condensed Matter · Physics 2008-04-17 Jyotipratim Ray Chaudhuri , Sudip Chattopadhyay , Suman Kumar Banik

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

The non-selective voltage activated cation channel from the human red cells, which is activated at depolarizing potentials, has been shown to exhibit counter-clockwise gating hysteresis. We have analyzed the phenomenon with the simplest…

Statistical Mechanics · Physics 2009-11-11 Ewa Gudowska-Nowak , Bartlomiej Dybiec , Henrik Flyvbjerg

In this manuscript we show that a noise-activated escape phenomenon occurs in closed Hamiltonian systems. Due to the energy fluctuations generated by the noise, the isopotential curves open up and the particles can eventually escape in…

Chaotic Dynamics · Physics 2021-11-17 Alexandre R. Nieto , Jesus M. Seoane , Miguel A. F. Sanjuan

We study the work fluctuations of a particle, confined to a moving harmonic potential, under the influence of friction and external Poissonian shot noise. The asymmetry of the noise induces an effective nonlinearity in the potential, which…

Statistical Mechanics · Physics 2009-11-13 A. Baule , E. G. D. Cohen

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 specific motifs of three recurrently connected neurons with probabilistic response, the spontaneous information flux, defined as the mutual information between subsequent states, has been shown to increase by adding ongoing white noise…

Neurons and Cognition · Quantitative Biology 2024-08-13 Claus Metzner , Achim Schilling , Andreas Maier , Patrick Krauss

We consider the multi-time correlation and covariance structure of a random surface growth with a wall introduced in arXiv:0904.2607. It is shown that the correlation functions associated with the model along space-like paths have…

Probability · Mathematics 2022-03-31 Zhengye Zhou

Fluctuations play a central role in many fields of physics, from quantum electrodynamics to statistical mechanics. In active matter physics, most models focus on thermal fluctuations due to a surrounding solvent. An alternative but much…

Soft Condensed Matter · Physics 2025-04-17 Sebastian Fehlinger , Kai Cui , Arooj Sajjad , Heinz Koeppl , Benno Liebchen