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The Effects Of Asymmetric Periodic Potential And Non-Gaussian Noise On Inertial Brownian Motor

Posted on:2014-01-14Degree:MasterType:Thesis
Country:ChinaCandidate:B YangFull Text:PDF
GTID:2250330401954093Subject:Theoretical Physics
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The effect of Gaussian colored noise in an asymmetric periodic potential and non-Gaussian noise in a symmetric periodic potential on anomalous transport are investigated in this thesis. First, the fundamental Theory of stochastic dynamics is introduced, especially the condition of obtaining directed transport and the devel-opment of Brownian motors. This thesis also summarizes the minimal model, the functional mechanism, the classification and current situation of negative mobil-ity (NM). The anomalous transport phenomena mainly includes:absolute negative mobility(ANM), negative nonlinear mobility(NDM), negative differential mobil-ity(NNM) and multiple current reversals (MCR) in this thesis. The results can be obtained by numerical simulation of generalized langevin equation, and some results are as follows:The phenomena of NM and MCR are investigated numerically in an asym-metric periodic potential with a Gaussian colored noise under the influence of a periodic driving and a constant bias. Two cases have been considered:the case of noise-induced normal transport and the case of noise-induced anomalous trans-port. The results indicate:within tailored parameter regimes, a robust and wide range of NM can be obtained for a fixed regime of correlation time; nonzero corre-lation time can induce and diminish MCR; asymmetry can induce and significantly facilitate the anomalous transport of inertial Brownian particle.The phenomena of NM was investigated numerically in a symmetric periodic potential with a non-Gaussian noise under the influence of a time-periodic driving and a constant bias force. The results indicate that non-Gaussian noise parameter q can either enhance or diminish the value of ANM, and q also can induce NDM and NNM in regions of parameter space for fixed correlation time Ï„; The average velocity-correlation time characteristics shifts towards small value of Ï„ and the absolute value of negative-valued minima decrease when q increased.
Keywords/Search Tags:asymmetric periodic potential, Gaussian colored noise, non-Gaussiannoise, anomalous transport, negative mobility, multiple current reversals
PDF Full Text Request
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