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The constructive role of non-Gaussian random fluctuations is studied in the context of the passage over the dichotomously switching potential barrier. Our attention focuses on the interplay of the effects of independent sources of…

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

Resonant activation is an effect of a noise-induced escape over a modulated potential barrier. The modulation of a energy landscape facilitates the escape kinetics and makes it optimal as measured by the mean first passage time. A canonical…

Statistical Mechanics · Physics 2014-04-23 Krzysztof Szczepaniec , Barlomiej Dybiec

We study the generic problem of the escape of a classical particle over a fluctuating barrier under the influence of non-Gaussian noise mimicking the effects of not-fully equilibrated bath. Our attention focuses on the effect of the stable…

Statistical Mechanics · Physics 2009-11-10 Bartlomiej Dybiec , Ewa Gudowska-Nowak

The phenomenon of resonant activation of a Brownian particle over a fluctuating barrier is revisited. We discuss the important distinctions between barriers that can fluctuate among "up" and "down" configurations, and barriers that are…

Chemical Physics · Physics 2009-10-30 Marian Boguna , Josep M. Porra , Jaume Masoliver , Katja Lindenberg

The resonant activation effect (RA) has been well studied in different ways during the last two decades. It consists in the presence of a minimum in the mean time spent by a Brownian particle to exit from a potential well in the presence of…

Statistical Mechanics · Physics 2008-10-23 Alessandro Fiasconaro

Resonant activation is one of classical effects demonstrating constructive role of noise. In resonant activation cooperative action of barrier modulation process and noise lead to the optimal escape kinetics as measured by the mean first…

Statistical Mechanics · Physics 2020-03-16 Krzysztof Szczepaniec , Bartlomiej Dybiec

The escape of a Brownian particle over a dichotomously fluctuating barrier is investigated for various shapes of the barrier. The problem of resonant activation is revisited with the attention on the effect of the barrier shape on optimal…

Statistical Mechanics · Physics 2009-11-07 Bartlomiej Dybiec , Ewa Gudowska-Nowak

We experimentally investigate the escape from a metastable state over a fluctuating barrier of a physical system. The system is switching between two states under electronic control of a dichotomous noise. We measure the escape time and its…

Statistical Mechanics · Physics 2009-10-31 Rosario N. Mantegna , Bernardo Spagnolo

We exploit a simple one-dimensional trapping model introduced before, prompted by the problem of ion current across a biological membrane. The voltage-sensitive channels are open or closed depending on the value taken by an external…

Statistical Mechanics · Physics 2009-11-07 J. A. Revelli , A. D. Sanchez , H. S. Wio

We study the effects of noise-intensity fluctuations on the stationary and dynamical properties of an overdamped Langevin model with a bistable potential and external periodical driving force. We calculated the stationary distributions,…

Statistical Mechanics · Physics 2011-08-24 Yoshihiko Hasegawa , Masanori Arita

We study the effect of a non-Gaussian noise on interstate switching activated primarily by Gaussian noise. Even weak non-Gaussian noise can strongly change the switching rate. The effect is determined by all moments of the noise…

Statistical Mechanics · Physics 2009-11-13 Lora Billings , Mark I. Dykman , Ira B. Schwartz

We consider a generalization of the model by Doering and Gadoua to non-Markovian potential-switching generated by arbitrary renewal processes. For the Markovian switching process, we extend the original results by Doering and Gadoua by…

Statistical Mechanics · Physics 2009-10-31 Tomas Novotny , Petr Chvosta

An approximate method for studying activation over a fluctuating barrier of potential is proposed. It involves considering separately the slow and fast components of barrier fluctuations, and it applies for any value of their correlation…

Statistical Mechanics · Physics 2009-11-10 Jan Iwaniszewski

The resonant activation phenomenon (RAP) in a discrete system is studied using the master equation formalism. We show that the RAP corresponds to a non-monotonic behavior of the frequency dependent first passage time probability density…

Other Condensed Matter · Physics 2007-05-23 O. Flomenbom , J. Klafter

Combined action of noise and deterministic force in dynamical systems can induce resonant effects. Here, we demonstrate a minimal, deterministic-force-free, setup allowing for occurrence of resonant, noise induced effects. We show that in…

Statistical Mechanics · Physics 2021-07-20 Karol Capała , Bartłomiej Dybiec

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

The diffusive non-Markovian motion over a single-well potential barrier in the presence of a weak sinusoidal time-modulation is studied. We found non-monotonic dependence of the mean escape time from the barrier on a frequency of the…

Statistical Mechanics · Physics 2015-05-30 V. M. Kolomietz , S. V. Radionov

Studies about the constructive aspects of noise and fluctuations in different non-linear systems have shown that the addition of external noise to systems with an intrinsic noise may result in a less noisy response. Recently, the…

Materials Science · Physics 2009-11-13 D. Persano Adorno , N. Pizzolato , B. Spagnolo

Living cells are known to generate non-Gaussian active fluctuations significantly larger than thermal fluctuations owing to various active processes. Understanding the effect of these active fluctuations on various physicochemical…

Soft Condensed Matter · Physics 2022-07-26 Govind Paneru , Jin Tae Park , Hyuk Kyu Pak

Quantum resonant activation is investigated for the archetype setup of an externally driven two-state (spin-boson) system subjected to strong dissipation by means of both analytical and extensive numerical calculations. The phenomenon of…

Quantum Physics · Physics 2017-04-12 Luca Magazzù , Peter Hänggi , Bernardo Spagnolo , Davide Valenti
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