Transport and time-dependent diffusion of inertial Brownian particle in tri-stable potential
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Transport and time-dependent diffusion of inertial Brownian particle in tri-stable potential Yuanyuan Jiao, Fengzao Yang, Chunhua Zenga Faculty of Science, Kunming University of Science and Technology, Kunming 650500, People’s Republic of China Received: 27 May 2020 / Accepted: 24 August 2020 © Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract In this paper, we investigate the transport and time-dependent diffusion properties of inertial Brownian particles in a one-dimensional symmetric tri-stable potential driven by correlation between multiplicative and additive noises. The effects of multiplicative and additive noises, and correlation between noises on the transport and time-dependent diffusion of the IBPs is discussed, respectively. Research results show that: (i) the correlation between noises can generate a net velocity, and its physical mechanism may be that the correlation between noises can induce state transition phenomenon; (ii) with the increase in the absolute value of the correlation strength, the mean velocity increases, while the diffusion decreases; and (iii) the mean velocity exhibits a strong nonmonotonic dependence on the multiplicative and additive noises, we also study time-dependent diffusions corresponding to these transports and find that the system has the phenomenon of coexistence of superdiffusion and subdiffusion (i.e., abnormal diffusion) in different time intervals, and superdiffusion and subdiffusion can be induced by manipulating these noises. Our research may help to further understand the self-propelled motion of biological processes, not least understanding the transport properties occurring in different stages of a biological process.
1 Introduction In the last few decades, the research on noise-induced dynamical phenomenon has been found in examples of resonance activation [1–3], noise-enhanced stability [4–7], noise-enhanced synchronization [8], time-delayed feedback [9–11], noises-induced regime shifts [12,13], noise-induced transport [14–18], and so on. Among them, the transport of Brownian particles driven by noise has attracted the interest of researchers and other authors. The study of transport of Brownian particle is very important because it can declare the origin of the selfpropelled motion. Self-propelled motion is universal in a biological world [19–23], and it is one of the evident hallmarks of living systems, ranging from the molecular motors, bacteria, cell to microscopic organisms. In recent years, there has been increasing interest in the research of tri-stable system. In contrast to mono-stable [24] and bi-stable systems [25,26], the tri-stable system has the structural characteristics with three wells and two barriers, which can produce larger interwell movement between the three wells [27–31]. Such a triple-well potential model not only has
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Eur. Phys. J. Plus
(2020) 135:711
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