Noise-induced order in the chaos of the Belousov–Zhabotinsky reaction

Yoshimoto, Minoru; Shirahama, Hiroyuki; Kurosawa, Shigeru

doi:10.1063/1.2946710

Cited by 45 publications

(31 citation statements)

References 17 publications

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“…the deterministic lifetime in the superconducting state, which strongly depends on the bias current. Increasing the intensity of the noise, the MST curves exhibit an eect of noise-enhanced stability (NES) [41,89,[107][108][109][110][111][112][113][114][115][116][117][118][119][120]. This is a noise-induced phenomenon consisting of a nonmonotonic behaviour as a function of the noise intensity with the appearance of a maximum.…”

Section: Results As a Function Of γmentioning

confidence: 99%

Effects of Lévy noise on the dynamics of sine-Gordon solitons in long Josephson junctions

et al. 2016

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Abstract. We numerically investigate the generation of solitons in currentbiased long Josephson junctions in relation to the superconducting lifetime and the voltage drop across the device. The dynamics of the junction is modelled with a sine-Gordon equation driven by an oscillating field and subject to an external non-Gaussian noise. A wide range of α-stable Lévy distributions is considered as a noise source, with varying stability index α and asymmetry parameter β. In junctions longer than a critical length, the mean switching time (MST) from the superconductive to the resistive state assumes a value independent of the device length. Here, we demonstrate that this value is directly related to the mean density of solitons which move into or from the washboard potential minimum corresponding to the initial superconductive state. Moreover, we observe: (i) a connection between the total mean soliton density and the mean potential dierence across the junction; (ii) an inverse behaviour of the mean voltage in comparison with the MST, with varying the junction length; (iii) evidence of non-monotonic behaviours, such as stochastic resonant activation and noise-enhanced stability, of the MST versus the driving frequency and noise intensity for dierent values of α and β; (iv) finally, these

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Section: Results As a Function Of γmentioning

confidence: 99%

Effects of Lévy noise on the dynamics of sine-Gordon solitons in long Josephson junctions

et al. 2016

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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

102

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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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“…In the following we set the d = 0.95, meaning that we consider the particle escaped from the metastable region when the probability to detect it in the lower (right) well is equal or greater than 95%. Note that, due to the incoherent relaxation described by Equation (32), once the threshold is crossed no oscillatory behavior of the populations occurs. Therefore, if the population of the right well crosses the threshold at time t escape , the overall population of the metastable region is not going to be larger than 0.05 at later times.…”

Section: Escape Timementioning

confidence: 99%

“…This counterintuitive effect has been found in different physical areas, ranging from the generation of spin currents [29], aggregation kinetics of Brownian particles [30,31], chemical reaction system [32], translocation dynamics of polymers [33][34][35], ultra-fast magnetization dynamics of magnetic spin systems [36,37], dynamic electron response in zinc-blende semiconductor crystals [38][39][40][41][42][43], noise redistribution in quasi 2D Silicon Mos inversion layers [44], to interdisciplinary physical models [45][46][47][48][49][50][51][52].…”

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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Noise-induced order in the chaos of the Belousov–Zhabotinsky reaction

Cited by 45 publications

References 17 publications

Effects of Lévy noise on the dynamics of sine-Gordon solitons in long Josephson junctions

Effects of Lévy noise on the dynamics of sine-Gordon solitons in long Josephson junctions

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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