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Biomedical subjects

V Berdichevsky

Publications and source records attributed to V Berdichevsky.

9 recordsLinked to original sources

Effect of noise on a particle moving in a periodic potential.

It is shown that for systems with a periodic potential, the flux is very sensitive to the strength of additive or/and multiplicative noise. Multiplicative noise becomes important when its strength is of the order of the barrier height, and it provides a means of additional control of the flux (voltage-current characteristics for a Josephson junction). In addition to a numerical analysis, the cases of weak and strong additive noise have also been considered analytically.

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Stochastic resonance in linear systems subject to multiplicative and additive noise.

Exact expressions have been found for the first two moments and the correlation function for an overdamped linear system subject to an external periodic field as well as to multiplicative and additive noise. Stochastic resonance is absent for Gaussian white noise. However, when the multiplicative noise has the form of an asymmetric dichotomous noise, the signal-to-noise ratio (SNR) becomes a nonmonotonic function of the correlation time and the asymmetry of noise. Moreover, the SNR turns out to be a nonmonotonic function of the frequency of the external field as well as strongly depending on the strength of the cross correlation between multiplicative and additive noise.

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Diffusion through piecewise washboard potential.

We consider the influence of small periodic oscillations of barriers on the stationary motion of a particle through a piecewise washboard potential. Up to the second order in the amplitude of oscillation the corrections to the flux can be both positive and negative and, for equal widths of the well and barrier, they do not depend on the frequency of the oscillations.

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