Enhancement of stability in randomly switching potential with metastable state

Spagnolo, Bernardo; Dubkov, A. A.; Agudov, N. V.

doi:10.1140/epjb/e2004-00268-8

Cited by 95 publications

(58 citation statements)

References 37 publications

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“…2B) noise-induced stability and interpret it as an effect of noise on the shape of the potential function (29). This effect resembles the case of noise-enhanced stability (30,31), although it is here observed through the emergence of unimodal behavior in the distribution of v. This finding has important ecological implications. Climate fluctuations are often considered as a source of disturbance (10) and, as such, are believed to enhance the likelihood of catastrophic shifts to the desert state or to control the transitions between preferential states in bistable dynamics (11).…”

Section: Discussionmentioning

confidence: 59%

Noise-induced stability in dryland plant ecosystems

D’Odorico

Laio

Ridolfi

2005

Proc. Natl. Acad. Sci. U.S.A.

163

117

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Dryland plant ecosystems tend to exhibit bistable dynamics with two preferential configurations of bare and vegetated soils. Climate fluctuations are usually believed to act as a source of disturbance on these ecosystems and to reduce their stability and resilience. In contrast, this work shows that random interannual fluctuations of precipitation may lead to the emergence of an intermediate statistically stable condition between the two stable states of the deterministic dynamics of vegetation. As a result, there is an enhancement of ecosystem resilience and a decrease in the likelihood of catastrophic shifts to the desert state.climate fluctuations ͉ ecosystem stability ͉ vegetation dynamics

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Section: Discussionmentioning

confidence: 59%

Noise-induced stability in dryland plant ecosystems

D’Odorico

Laio

Ridolfi

2005

Proc. Natl. Acad. Sci. U.S.A.

163

117

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“…The data obtained for i 0 = 0.5, shown in (a) of Figure 4, as the noise intensity increases, exhibit an effect of noise-enhanced stability (NES) [42,43,[56][57][58][59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74], a noise-induced phenomenon consisting of a nonmonotonic behavior with the appearance of a maximum. In the presence of NES, the stability of metastable states is enhanced, and the average lifetime of the metastable state increases non-monotonically with the noise intensity.…”

Section: Resultsmentioning

confidence: 99%

Stabilization Effects of Dichotomous Noise on the Lifetime of the Superconducting State in a Long Josephson Junction

Guarcello

Valenti

Carollo

et al. 2015

Entropy

103

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We investigate the superconducting lifetime of a long overdamped current-biased Josephson junction, in the presence of telegraph noise sources. The analysis is performed by randomly choosing the initial condition for the noise source. However, in order to investigate how the initial value of the dichotomous noise affects the phase dynamics, we extend our analysis using two different fixed initial values for the source of random fluctuations. In our study, the phase dynamics of the Josephson junction is analyzed as a function of the noise signal intensity, for different values of the parameters of the system and external driving currents. We find that the mean lifetime of the superconductive metastable state as a function of the noise intensity is characterized by nonmonotonic behavior, strongly related to the soliton dynamics during the switching towards the resistive state. The role of the correlation time of the noise source is also taken into account. Noise-enhanced stability is observed in the investigated system.

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“…Specifically, metastable states in complex systems are characterized by different time scales, the fast ones describing the dynamics inside the metastable region and the slow ones describing the dynamics between different metastable states, and often it is interesting to find long-living metastable states [5,6,13]. In particular, the stability of a metastable state can be enhanced by Gaussian and non-Gaussian noise sources [14][15][16][17].…”

Section: Introductionmentioning

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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Enhancement of stability in randomly switching potential with metastable state

Cited by 95 publications

References 37 publications

Noise-induced stability in dryland plant ecosystems

Noise-induced stability in dryland plant ecosystems

Stabilization Effects of Dichotomous Noise on the Lifetime of the Superconducting State in a Long Josephson Junction

Nonlinear Relaxation Phenomena in Metastable Condensed Matter Systems

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