scholarly journals Transient superdiffusive motion on a disordered ratchet potential

2019 ◽  
Vol 523 ◽  
pp. 172-179
Author(s):  
D.G. Zarlenga ◽  
G.L. Frontini ◽  
Fereydoon Family ◽  
C.M. Arizmendi
Keyword(s):  
Ratchet Potential

scholarly journals Josephson vortex in a ratchet potential:  Theory

2001 ◽  
Vol 63 (3) ◽  
Author(s):  
E. Goldobin ◽  
A. Sterck ◽  
D. Koelle
Keyword(s):  
Potential Theory ◽  
Josephson Vortex ◽  
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.

STOCHASTIC TRANSPORT IN RATCHET-POTENTIAL

2015 ◽  
pp. 322-329
Author(s):  
Yuri I. Sukharev ◽  
◽  
Inna Yu. Apalikova ◽  
Vitaly O. Apalikov ◽  
Yulia D. Meshcheryakovа ◽  
...  
Keyword(s):  
Stochastic Transport ◽  
Ratchet Potential

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.

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