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In this paper we have presented the mechanism of the barrier crossing dynamics of a Brownian particle which is coupled to a thermal bath in the presence of both time independent and fluctuating magnetic fields. Here the following three…

Statistical Mechanics · Physics 2021-01-05 Shrabani Mondal , Mousumi Biswas , Bidhan Chandra Bag

The properties of the fluctuations large enough to induce bifurcations at open chemical systems at steady constraints are studied. The fluctuations that come from the diffusion-induced noise are considered. It is a generic for the surface…

Statistical Mechanics · Physics 2007-05-23 Maria K. Koleva , L. A. Petrov

We theoretically investigate the phase and voltage correlation dynamics, which includes both the deterministic contribution and stochastic fluctuations, under a current noise generated by a resistor including thermal and quantum…

Mesoscale and Nanoscale Physics · Physics 2021-07-27 Koichiro Furutani , Luca Salasnich

Evolution of a system of diffusing and proliferating mortal reactants is analyzed in the presence of randomly moving catalysts. While the continuum description of the problem predicts reactant extinction as the average growth rate becomes…

Soft Condensed Matter · Physics 2009-10-31 N. M. Shnerb , E. Bettelheim , Y. Louzoun , O. Agam , S. Solomon

Fractional Brownian motion, a stochastic process with long-time correlations between its increments, is a prototypical model for anomalous diffusion. We analyze fractional Brownian motion in the presence of a reflecting wall by means of…

Statistical Mechanics · Physics 2018-02-21 Alexander H. O. Wada , Thomas Vojta

We study the distribution of the resistance fluctuations of biased resistor networks in nonequilibrium steady states. The stationary conditions arise from the competition between two stochastic and biased processes of breaking and recovery…

Statistical Mechanics · Physics 2011-02-17 C. Pennetta , E. Alfinito , L. Reggiani , S. Ruffo

We apply recent results on the probability distribution for quantum stress tensor fluctuations to the problem of barrier penetration by quantum particles. The probability for large stress tensor fluctuations decreases relatively slowly with…

Quantum Physics · Physics 2018-12-10 Haiyun Huang , L. H. Ford

Stochastic resonance is a phenomenon where a noise of appropriate intensity enhances the input signal strength. In this work, by employing the recently developed convex optimization methods in the context of dynamical systems and stochastic…

Dynamical Systems · Mathematics 2023-09-22 Minjae Cho

The influence of dissipation on the fluctuation statistics of the total energy is investigated through both a phenomenological and a stochastic model for dissipative energy-transfer through a cascade of states. In equilibrium the states…

Statistical Mechanics · Physics 2013-06-27 Eric Bertin , Peter C. W. Holdsworth

The study of the noise induced effects on the dynamics of a chain molecule crossing a potential barrier, in the presence of a metastable state, is presented. A two-dimensional stochastic version of the Rouse model for a flexible polymer has…

Statistical Mechanics · Physics 2015-05-13 N. Pizzolato , A. Fiasconaro , B. Spagnolo

Quantum decay rates for barrier potentials driven by external stochastic and periodic forces in the strong damping regime are studied. Based on the recently derived quantum Smoluchowski equation [Phys. Rev. Lett. {\bf 87}, 086802 (2001)]…

Statistical Mechanics · Physics 2009-11-07 Joachim Ankerhold

The influence that intrinsic local density fluctuations can have on solutions of mean-field reaction-diffusion models is investigated numerically by means of the spatial patterns arising from two species that react and diffuse in the…

Other Condensed Matter · Physics 2007-05-23 D. Hochberg , M. -P. Zorzano , F. Moran

In a system of non-linear chemical reactions called the Brusselator, we show that {\it intrinsic noise} can be regulated to drive it to exhibit resonance in the presence of a sub-threshold signal. The phenomena of periodic stochastic…

Chemical Physics · Physics 2012-08-06 Supravat Dey , Dibyendu Das , P. Parmananda

Decoherence in quantum devices, such as qubits and resonators, is often caused by bistable fluctuators modeled as random telegraph noise (RTN), leading to significant dephasing. We analyze the impact of individual and multiple fluctuators…

Quantum Physics · Physics 2025-07-15 Adithi Udupa , Timo Hillmann , Rabsan Galib Ahmed , Andrea Smirne , Giulia Ferrini

We study the random processes with non-local memory and obtain new solutions of the Mori-Zwanzig equation describing non-markovian systems. We analyze the system dynamics depending on the amplitudes $\nu$ and $\mu_0$ of the local and…

Statistical Mechanics · Physics 2021-03-24 S. S. Melnyk , O. V. Usatenko , V. A. Yampol'skii

We analyze the stochastic response of a finite set of globally coupled noisy bistable units driven by rather weak time-periodic forces. We focus on the stochastic resonance and phase frequency synchronization of the collective variable,…

Statistical Mechanics · Physics 2009-11-13 Manuel Morillo , Jose Gomez-Ordonez Jose Manuel Casado

We investigate current fluctuations in open quantum systems beyond the weak-coupling and Markovian regimes, focusing on a coherently driven qubit strongly coupled to a structured bosonic environment. By combining full counting statistics…

In this note we discuss a paradigmatic example of interacting particles subject to non conservative external forces and to the action of thermostats consisting of external (finite) reservoirs of particles. We then consider a model of…

Statistical Mechanics · Physics 2009-11-11 F. Bonetto , G. Gallavotti , A. Giuliani , F. Zamponi

A standard approach to analysis of noise-induced effects in stochastic dynamics assumes a Gaussian character of the noise term describing interaction of the analyzed system with its complex surroundings. An additional assumption about the…

Statistical Mechanics · Physics 2009-05-06 Bartlomiej Dybiec , Ewa Gudowska-Nowak

The stochastic resonance phenomenon has been studied experimentally and theoretically for a state-of-art metal-oxide memristive device based on yttria-stabilized zirconium dioxide and tantalum pentoxide, which exhibits bipolar filamentary…

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