Correlation ratchets: Four current reversals and disjunct “windows”

Abstract

Multinoise correlation ratchets with a simple sawtooth potential are considered. It is proved that in the case of symmetric nonequilibrium three-level Markovian noise the direction and value of the induced current can be controlled by thermal noise. Moreover, it is established that four current reversals (CRs) occur and that for the CRs there exist characteristic disjunct "windows" in temperature and switching rate as control parameters. The necessary and sufficient conditions for the existence of the above effects are given and can be used in particle separation techniques.

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

“…By use of Eq. (19) we can now explicitly obtain the behavior of R(t) for any combination of system parameters γ, δ 0 , β, Ω, A 0 , a, ν, and J. In Fig.…”

“…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].…”

Interspike interval distribution of a resonate-and-fire neuron model driven by Mittag-Leffler noise

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Three and four current reversals versus temperature in correlation ratchets with a simple sawtooth potential

“…[9]. The case of four current reversals vs ν with the necessary and sufficient conditions for their existence was extensively discussed in our earlier paper [18].…”