Thermally enhanced stability in fluctuating bistable potentials

Abstract

Overdamped motion of Brownian particles in an asymmetric double-well potential driven by an additive nonequilibrium three-level noise and a thermal noise is considered. In the stationary regime, an exact formula for the mean occupancy of the metastable state is derived, and the phenomenon of enhancement of stability versus temperature is investigated. It is established that in a certain region of the system parameters the mean occupancy can be either multiply enhanced or suppressed by variations of temperature. We show that this effect is due to the involvement of different time scales in the problem. The necessary conditions for several different behaviors of the mean occupancy as a function of temperature are also discussed. The effect is more pronounced when the kurtosis of the three-level noise tends to -2 , i.e., in the case of dichotomous noise.

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

“…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.…”

Phase dynamics in graphene-based Josephson junctions in the presence of thermal and correlated fluctuations

“…In all panels of Fig. 3 we note the presence of another noise induced effect, known as noise enhanced stability (NES) 33,54,[65][66][67][68][69][70][71][72][73][74][75][76][77][78] . Indeed the curves of τ vs γ are characterized by a nonmonotonic behavior with the presence of a maximum.…”

Rising relative fluctuation as a warning indicator of discontinuous transitions in symbiotic metapopulations

“…It should be emphasized that deterministic models, with GVM, of population growth dynamics cannot directly cope with a range of situations dominated by environmental fluctuations in the forcings or in control parameters, which are intrinsic to the phenomenon [12]. Fluctuations, via interaction with nonlinearity in physical, chemical, and biological systems, have given rise to several counterintuitive phenomena of which stochastic resonance [13][14][15], stochastic transport in ratchets [16][17][18][19], anomalous diffusion [20][21][22], memory generated resonance in shear flows [23,24], noise-enhanced stability [25,26] noise-induced multistability, and associated first-order phase transitions [27,28] are a few examples. In recent decades, the essential role of environmental fluctuations has been recognized in theoretical ecology [29].…”