Nonlinear Phenomena in Complex Systems, 2025, Vol.28, No.2, pp.126

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2025, Vol.28, No.2, pp.126 - 136

Tunnel Current of a Pulsating Ratchet with a Double-Humped Gaussian Potential Fluctuating by Half a Period

I.V. Shapochkina, V.V. Mantzevich, A.D. Protsyk, and V.M. Rozenbaum

We consider the hopping operation mechanism of a highly efficient pulsating ratchet with a double-humped Gaussian potential fluctuating by half a period. The dependencies of the rate constants of overcoming the barriers of the double-humped potential on the barriers' asymmetry parameter have been calculated, taking into account both the thermal activation and tunneling mechanisms at high and low temperatures, respectively. These constants have been used to calculate the temperature dependencies of the ratchet flux. It is shown that, depending on the values of the average standard deviation and the asymmetry parameter of the Gaussian components, a reversal of the motion direction with a change in temperature can occur. As a criterion for the possibility of such an effect, a ratio (less than unity) of the squares of the Gamow factors, which describe tunneling through the high and low barriers, has been introduced and compared with the known criterion for the two barriers of identical shape.

Key words: nanoparticle, nonequilibrium fluctuations, Brownian motors

DOI: https://doi.org/10.5281/zenodo.15745762

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