Resonant activation in a bistable system

This work analyzes numerically the role played by the asymmetry of a piecewise linear potential, in the presence of both a Gaussian white noise and a dichotomous noise, on the resonant activation phenomenon. The features of the asymmetry of the potential barrier arise by investigating the stochastic transitions far behind the potential maximum, from the initial well to the bottom of the adjacent potential well. Because of the asymmetry of the potential profile together with the random external force uniform in space, we find, for the different asymmetries: (1) an inversion of the curves of the mean first passage time in the resonant region of the correlation time τ of the dichotomous noise, for low thermal noise intensities; (2) a maximum of the mean velocity of the Brownian particle as a function of τ ; and (3) an inversion of the curves of the mean velocity and a very weak current reversal in the miniratchet system obtained with the asymmetrical potential profiles investigated. An inversion of the mean first passage time curves is also observed by varying the amplitude of the dichotomous noise, behavior confirmed by recent experiments.

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“…[1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][23][24][25] and experimentally revealed in Refs. [17][18][19][20][21][22]26].…”

Section: Introductionmentioning

confidence: 99%

Resonant activation in piecewise linear asymmetric potentials

Fiasconaro

Spagnolo

2011

Phys. Rev. E

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“…In previous works, the reported resonance peak is typically broad [56,57,58,59]. Our results here imply that if resonant activation is treated using phase synchronization, it is possible that the average synchronization time can exhibit a cusp-like, sharp maximum.…”

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confidence: 59%

“…Our approach to understanding stochastic resonance may also be useful for the phenomenon of resonant activation [56,57,58,59] where, for a particle in a potential well with a time-varying barrier, in the presence of noise the average crossing time, which is the average of times required to diffuse over each of barriers, can exhibit a minimum as a parameter controlling the barrier height varies. In previous works, the reported resonance peak is typically broad [56,57,58,59].…”

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confidence: 99%

Noise-sensitive measure for stochastic resonance in biological oscillators

Lai

Park

2006

Mathematical Biosciences and Engineering

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Abstract. There has been ample experimental evidence that a variety of biological systems use the mechanism of stochastic resonance for tasks such as prey capture and sensory information processing. Traditional quantities for the characterization of stochastic resonance, such as the signal-to-noise ratio, possess a low noise sensitivity in the sense that they vary slowly about the optimal noise level. To tune to this level for improved system performance in a noisy environment, a high sensitivity to noise is required. Here we show that, when the resonance is understood as a manifestation of phase synchronization, the average synchronization time between the input and the output signal has an extremely high sensitivity in that it exhibits a cusp-like behavior about the optimal noise level. We use a class of biological oscillators to demonstrate this phenomenon, and provide a theoretical analysis to establish its generality. Whether a biological system actually takes advantage of phase synchronization and the cusp-like behavior to tune to optimal noise level presents an interesting issue of further theoretical and experimental research.

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“…Almost all curves of Figure 3 clearly show the presence of resonant activation [14,17,80,81,91,116,118,[128][129][130][131][132][133][134][135], specifically stochastic resonance activation [17,78,80,117], a noise induced phenomenon whose signature is the appearance of a minimum in the curve of MST vs ω.…”

Section: Long Jj-resultsmentioning

confidence: 99%

Nonlinear Relaxation Phenomena in Metastable Condensed Matter Systems

Spagnolo

Guarcello

Magazzù

et al. 2016

Entropy

100

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Nonlinear relaxation phenomena in three different systems of condensed matter are investigated. (i) First, the phase dynamics in Josephson junctions is analyzed. Specifically, a superconductor-graphene-superconductor (SGS) system exhibits quantum metastable states, and the average escape time from these metastable states in the presence of Gaussian and correlated fluctuations is calculated, accounting for variations in the the noise source intensity and the bias frequency. Moreover, the transient dynamics of a long-overlap Josephson junction (JJ) subject to thermal fluctuations and non-Gaussian noise sources is investigated. Noise induced phenomena are observed, such as the noise enhanced stability and the stochastic resonant activation. (ii) Second, the electron spin relaxation process in a n-type GaAs bulk driven by a fluctuating electric field is investigated. In particular, by using a Monte Carlo approach, we study the influence of a random telegraph noise on the spin polarized transport. Our findings show the possibility to raise the spin relaxation length by increasing the amplitude of the external fluctuations. Moreover, we find that, crucially, depending on the value of the external field strength, the electron spin depolarization length versus the noise correlation time increases up to a plateau. (iii) Finally, the stabilization of quantum metastable states by dissipation is presented. Normally, quantum fluctuations enhance the escape from metastable states in the presence of dissipation. We show that dissipation can enhance the stability of a quantum metastable system, consisting of a particle moving in a strongly asymmetric double well potential, interacting with a thermal bath. We find that the escape time from the metastable region has a nonmonotonic behavior versus the system-bath coupling and the temperature, producing a stabilizing effect.Keywords: metastability; nonequilibrium statistical mechanics and nonlinear relaxation time; noise enhanced stability; Josephson junction; spin polarized transport in semiconductors; open quantum systems; quantum noise enhanced stability

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Resonant activation in a bistable system

Cited by 122 publications

References 20 publications

Resonant activation in piecewise linear asymmetric potentials

Resonant activation in piecewise linear asymmetric potentials

Noise-sensitive measure for stochastic resonance in biological oscillators

Nonlinear Relaxation Phenomena in Metastable Condensed Matter Systems

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