Deterministic directed transport of inertial particles in a flashing ratchet potential

2005 ◽  
Vol 71 (3) ◽  
Author(s):  
Hongbin Chen ◽  
Qiwen Wang ◽  
Zhigang Zheng
Keyword(s):  
Inertial Particles ◽  
Directed Transport ◽  
Flashing Ratchet ◽  
Ratchet Potential

POWER AND EFFICIENCY OF F1-ATPase MOLECULAR MOTOR

2012 ◽  
Vol 11 (01) ◽  
pp. 1240003
Author(s):  
J. M. SANCHO ◽  
RUBEN PEREZ-CARRASCO
Keyword(s):  
Experimental Data ◽  
Angular Velocity ◽  
Molecular Motor ◽  
Transition Rates ◽  
Motor Power ◽  
F1 Atpase ◽  
Flashing Ratchet ◽  
Model Predictions ◽  
Good Agreement ◽  
Ratchet Potential

We present the study of the energetics of the F1-ATPase rotatory molecular motor. The dynamics of this machine are described by a overdamped Langevin equation with a dichotomous flashing ratchet potential whose transition rates are controlled by an analysis of the chemical and physical steps. The model predictions on the observable angular velocity are in good agreement with the experimental data. Inspired by these results we extend our approach to study the energetics of this motor. Power and efficiency are analyzed for different experimental situations which can be tested in experiments.

scholarly journals Regular and chaotic motions of a single trapped ion interacting with a flashing ratchet potential

2007 ◽  
Vol 56 (3) ◽  
pp. 1305
Author(s):  
Chen Wen-Qin ◽  
Hai Wen-Hua ◽  
Li Hui ◽  
Ma Zhi-Ying
Keyword(s):  
Chaotic Motions ◽  
Trapped Ion ◽  
Flashing Ratchet ◽  
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.

DETERMINISTIC COLLECTIVE DIRECTIONAL TRANSPORT IN ONE-DIMENSIONAL FLASHING RATCHET POTENTIALS

2011 ◽  
Vol 25 (14) ◽  
pp. 1179-1192 ◽  
Author(s):  
HONGBIN CHEN ◽  
ZHIGANG ZHENG
Keyword(s):  
Molecular Motors ◽  
Thermal Fluctuations ◽  
Necessary Condition ◽  
Directed Motion ◽  
Flashing Ratchet ◽  
External Forces ◽  
Directional Transport ◽  
Shed Light ◽  
Good Agreement ◽  
Ratchet Potential

In the absence of thermal fluctuations and other external forces, a single particle will be pinned at the bottom of a flashing ratchet potential under the overdamped condition. Unidirectional motion becomes possible if there exist interactions among particles. In this paper, the overdamped directed motion of a dimer with two heads in a flashing ratchet potential is investigated. We propose the mechanism to reveal how two heads of the dimer cooperate and help each other to move processively. The necessary condition of directed motion is analytically given, which is in good agreement with numerical simulation results. Furthermore, the resonant steps of the current are observed and discussed. The scenario and the results proposed in this paper may shed light on the elaborations of artificial molecular motors.

Feedback control of two-headed Brownian motors in flashing ratchet potential

2010 ◽  
Vol 19 (11) ◽  
pp. 110506 ◽  
Author(s):  
A-Ke Zhao ◽  
Hong-Wei Zhang ◽  
Yu-Xiao Li
Keyword(s):  
Feedback Control ◽  
Brownian Motors ◽  
Flashing Ratchet ◽  
Ratchet Potential

Focusing of inertial particles after the shock-wave intersection point

2007 ◽  
Vol 5 ◽  
pp. 145-150
Author(s):  
I.V. Golubkina
Keyword(s):  
Shock Wave ◽  
Mass Concentration ◽  
Gas Flow ◽  
Intersection Point ◽  
Plane Shock ◽  
Inertial Particles ◽  
Dusty Gas ◽  
Focusing Effect ◽  
Aerodynamic Focusing ◽  
Particle Mass Concentration

The effect of the aerodynamic focusing of inertial particles is investigated in both symmetric and non-symmetric cases of interaction of two plane shock waves in the stationary dusty-gas flow. The particle mass concentration is assumed to be small. Particle trajectories and concentration are calculated numerically with the full Lagrangian approach. A parametric study of the flow is performed in order to find the values of the governing parameters corresponding to the maximum focusing effect.

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