High-temperature brownian motors: Deterministic and stochastic fluctuations of a periodic potential |
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Authors: | V M Rozenbaum |
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Institution: | (1) Chuiko Institute of Surface Chemistry, National Academy of Sciences of Ukraine, Kiev, 03164, Ukraine |
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Abstract: | The high-temperature unidirectional motion of a Brownian particle with time-dependent potential energy described by a spatially asymmetric periodic function is considered. A general formula derived for the mean velocity ν of such a motion is specified for dichotomic deterministic and Markovian stochastic processes. In both cases, ν increases linearly for low-frequencies γ of potential-energy fluctuations and reaches maxima for γ about the inverse time of diffusion by the spatial period of the potential. The behaviors of ν for large γ values are different in these cases: ν ∝ γ?2 and ν ts γ?1 for the deterministic and stochastic processes, respectively. It is shown that the direction of the motor motion depends on the relative lifetimes of each of the dichotomic-process states if the amplitude of the potential-energy fluctuations is fairly large in comparison with the mean value. |
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