Commun. Theor. Phys.

2008

DOI: 10.1088/0253-6102/49/1/36

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Flux Induced by Multiplicative Dichotomous Noise

Abstract: The transport of particles induced by multiplicative dichotomous noise for a system is investigated. The stationary probability current is derived. It is shown that, for the system studied by us, the spatial asymmetry is the ingredient for the nonzero stationary current.

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Cited by 5 publications

References 60 publications

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Multiplicative Stochastic Resonance for a Linear System Driven by O–U Noise

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2009

Commun. Theor. Phys.

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In the paper, we study a linear system driven by O-U noise and give a method which is different from the one stated in Europhys. Lett. 40 (1997) 117. We find the same phenomenon of multiplicative stochastic resonance for the response of the system to the signal as the one found in Europhys. Lett. 40 (1997) 117. The merit of our method is that it prevents the complex formulas when making sum from n = 0 to n → ∞ as in Europhys. Lett. 40 (1997) 117, which leads to the approximate results of the figures.

Multiplicative Stochastic Resonance for a Linear System Driven by O–U Noise

¹

2009

Commun. Theor. Phys.

Self Cite

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In the paper, we study a linear system driven by O-U noise and give a method which is different from the one stated in Europhys. Lett. 40 (1997) 117. We find the same phenomenon of multiplicative stochastic resonance for the response of the system to the signal as the one found in Europhys. Lett. 40 (1997) 117. The merit of our method is that it prevents the complex formulas when making sum from n = 0 to n → ∞ as in Europhys. Lett. 40 (1997) 117, which leads to the approximate results of the figures.

Current Reversal and Negative Conductance for a Super-Conducting Junctions Device

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2009

Commun. Theor. Phys.

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Velocity and Dispersion for a Two-Dimensional Random Walk

Li¹

2009

Commun. Theor. Phys.

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In the paper, we consider the transport of a two-dimensional random walk. The velocity and the dispersion of this two-dimensional random walk are derived. It mainly show that: (i) by controlling the values of the transition rates, the direction of the random walk can be reversed; (ii) for some suitably selected transition rates, our two-dimensional random walk can be efficient in comparison with the one-dimensional random walk. Our work is motivated in part by the challenge to explain the unidirectional transport of motor proteins. When the motor proteins move at the turn points of their tracks (i.e., the cytoskeleton filaments and the DNA molecular tubes), some of our results in this paper can be used to deal with the problem.

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