scholarly journals Transport properties of fractional coupled Brownian motors in flash ratchet potential

2013 ◽  
Vol 62 (15) ◽  
pp. 150502
Author(s):  
Lai Li ◽  
Zhou Xue-Xue ◽  
Ma Hong ◽  
Luo Mao-Kang
Keyword(s):  
Transport Properties ◽  
Brownian Motors ◽  
Coupled Brownian Motors ◽  
Ratchet Potential

scholarly journals Transport properties of fractional coupled Brownian motors in ratchet potential with feedback

2015 ◽  
Vol 64 (12) ◽  
pp. 120501
Author(s):  
Qin Tian-Qi ◽  
Wang Fei ◽  
Yang Bo ◽  
Luo Mao-Kang
Keyword(s):  
Transport Properties ◽  
Brownian Motors ◽  
Coupled Brownian Motors ◽  
Ratchet Potential

The Directed Transport of Elastically Coupled Brownian Motors in a Two-Dimensional Potential

2014 ◽  
Vol 668-669 ◽  
pp. 647-650
Author(s):  
Wei Xia Wu
Keyword(s):  
Numerical Simulation ◽  
Two Dimensional ◽  
Brownian Motors ◽  
Directed Transport ◽  
Directional Flow ◽  
Ac Drive ◽  
Coupled Brownian Motors ◽  
Ratchet Potential

A model of directed transport of elastically coupled Brownian motors in a two-dimensional potential is established, in which one AC drive and a noise are acted on the non-ratchet potential direction but none is acted on the ratchet potential direction. Through numerical simulation, the position and the velocity of the coupled Brownian motors in two directions versus time are analyzed in different cases, which include that the AC drive and the noise are all moderate in the non-ratchet potential direction, no AC drive or no noise. The results show that at appropriate AC drive or the noise, there is a directional flow in the ratchet potential direction none acted.

The single- and double-particle properties and the current reversal of coupled Brownian motors

2017 ◽  
Vol 50 (47) ◽  
pp. 475003
Author(s):  
Chen-Pu Li ◽  
Hong-Bin Chen ◽  
Hong Fan ◽  
Wen-Mei Shen ◽  
Zhi-Gang Zheng
Keyword(s):  
Brownian Motors ◽  
Particle Properties ◽  
Current Reversal ◽  
Coupled Brownian Motors

scholarly journals Coupled Brownian motors: Anomalous hysteresis and zero-bias negative conductance

1999 ◽  
Vol 45 (5) ◽  
pp. 545-551 ◽  
Author(s):  
P Reimann ◽  
R Kawai ◽  
C. Van den Broeck ◽  
P Hänggi
Keyword(s):  
Zero Bias ◽  
Brownian Motors ◽  
Negative Conductance ◽  
Coupled Brownian Motors

WALKING ON RATCHETS WITH TWO BROWNIAN MOTORS

2004 ◽  
Vol 04 (01) ◽  
pp. L161-L170 ◽  
Author(s):  
JOSE L. MATEOS
Keyword(s):  
Effective Diffusion ◽  
Diffusion Constant ◽  
Brownian Motors ◽  
Coherent Transport ◽  
Dimensionless Ratio ◽  
Bistable Potential ◽  
External Time ◽  
Stable Points ◽  
White Noises ◽  
Ratchet Potential

We analyze a model for a walker moving on an asymmetric periodic ratchet potential. This model is motivated by the properties of transport of the motor protein kinesin. The walker consists of two feet represented as two particles coupled nonlinearly through a double-well bistable potential. In contrast to linear coupling, the bistable potential admits a richer dynamics where the ordering of the particles can alternate during the walking. The transitions between the two stable points on the bistable potential, correspond to a walking with alternating particles. In our model, each particle is acted upon by independent white noises, modeling thermal noise, and additionally we have an external time-dependent force that drives the system out of equilibrium, allowing directed transport. In the equilibrium case, where only white noise is present, we perform a bifurcation analysis which reveals different walking patterns. In particular, we distinguish between two main walking styles: alternating and no alternating. These two ways of walking resemble the hand-over-hand and the inchworm walking in kinesin, respectively. Numerical simulations showed the existence of current reversals and significant changes in the effective diffusion constant. We obtained an optimal coherent transport, characterized by a maximum dimensionless ratio of the current and the effective diffusion (Péclet number), when the periodicity of the ratchet potential coincides with the equilibrium distance between the two particles.

Directed transport of coupled Brownian motors in a two-dimensional traveling-wave potential

2020 ◽  
Vol 29 (9) ◽  
pp. 090503
Author(s):  
Wei-Xia Wu ◽  
Zhi-Gang Zheng ◽  
Yan-Li Song ◽  
Ying-Rong Han ◽  
Zhi-Cheng Sun ◽  
...  
Keyword(s):  
Traveling Wave ◽  
Two Dimensional ◽  
Brownian Motors ◽  
Directed Transport ◽  
Wave Potential ◽  
Coupled Brownian Motors
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