Noise and disorder effects in a series of birhythmic Josephson junctions coupled to a resonator

Abstract

This paper deal the effects of uncorrelated white noise, in a serie of Josephson Junctions coupled to a linear RLC resonator. The junction are hysteretic, and hence can be considered birhythmic, that is capable to oscillate at different frequencies for the same set of parameters. Both Josephson Junctions with identical and disordered parameters are considered. With the uniform parameters, the array behaves similarly to single Josephson junctions, also in the presence of noise. The magnitude of the effective energy that characterizes the response to noise becomes smaller as the number of elements of the array increases, making the resonator less stable. Disorder in the parameters drastically changes the physics of the array. The disordered array of Josephson junctions misses the birhythmicity properties for large values of the variance of the disorder parameter. Nevertheless, the system remains birhythmic for low values of the disorder parameter. Finally, disorder makes it difficult to locate the separatrix, hinting to a more complex structure of the effective energy landscape.

Synchronization and firing mode transition of two neurons in a bilateral auditory system driven by a high–low frequency signal

“…So neural circuits coupled with phototubes can be used as biophysical light-dependent neurons, [25][26][27][28] which have potential application value in the design of artificial eyes. Since the channel current through a Josephson junction depends on the external magnetic field, [29,30] the neuron circuit embedded in the Josephson junction can be used to sense the influence of the magnetic field. [31][32][33][34] Among the aforementioned electronic components, the Josephson junction is a promising choice for realizing indirect connection of two middle ears.…”

Axion Field Influence on Josephson Junction Quasipotential

“…We do so with a twofold objective: The first, as already mentioned, is to better understand the consequences that a direct interaction between JJ and axion would have, and therefore to pave the way towards a practical implementation of the device to detect axions. The second objective, and not less important, is to compute the quasipotential barrier of the axion-JJ system, a very convenient quantity in the analysis of low temperature devices (as already demonstrated for Shapiro steps [45,46], cavity-induced synchronization [47], the study of a JJ electronic analogue [48], and also in non-Josephson contexts [49][50][51][52][53][54]) to infer the properties at a very low noise and, consequently, very long escape times. In fact, the characteristic time scale of the system is of the order of [1][2][3][4][5][6][7][8][9][10] ps, being the inverse of Josephson characteristic frequency which, as we shall see later, generally falls in the range [0.1-1] THz.…”

Stochastic sensitivity analysis of noise-induced transitions in a biochemical model with birhythmicity

“…This model with Levý noise has been studied in [47]. The effects of uncorrelated white noise on birhythmic hysteretic Josephson junctions were investigated in [48].…”