Transport properties of elastically coupled fractional Brownian motors

Wangyong Lv, Huiqi Wang, Lifeng Lin, Fei Wang and Suchuan Zhong

Physica A: Statistical Mechanics and its Applications, 2015, vol. 437, issue C, 149-161

Abstract: Under the background of anomalous diffusion, which is characterized by the sub-linear or super-linear mean-square displacement in time, we proposed the coupled fractional Brownian motors, in which the asymmetrical periodic potential as ratchet is coupled mutually with elastic springs, and the driving source is the external harmonic force and internal thermal fluctuations. The transport mechanism of coupled particles in the overdamped limit is investigated as the function of the temperature of baths, coupling constant and natural length of the spring, the amplitude and frequency of driving force, and the asymmetry of ratchet potential by numerical stimulations. The results indicate that the damping force involving the information of historical velocity leads to the nonlocal memory property and blocks the traditional dissipative motion behaviors, and it even plays a cooperative role of driving force in drift motion of the coupled particles. Thus, we observe various non-monotonic resonance-like behaviors of collective directed transport in the mediums with different diffusion exponents.

Keywords: Molecular motors; Molecular dynamics; Stochastic particle dynamics; Transport process (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:437:y:2015:i:c:p:149-161

DOI: 10.1016/j.physa.2015.05.109

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