scholarly journals Diffusion of a particle in the Gaussian random-energy landscape: Einstein relation and analytical properties of average velocity and diffusivity as functions of driving force

2018 ◽  
Vol 98 (1) ◽  
Author(s):  
S. V. Novikov
Keyword(s):  
Driving Force ◽  
Average Velocity ◽  
Energy Landscape ◽  
Einstein Relation ◽  
Random Energy ◽  
Analytical Properties

scholarly journals Statistics of the number of minima in a random energy landscape

2006 ◽  
Vol 74 (6) ◽  
Author(s):  
Satya N. Majumdar ◽  
Olivier C. Martin
Keyword(s):  
Energy Landscape ◽  
Random Energy

Transport and efficiency of Brownian particles in confined narrow channels with a periodic driving force

2015 ◽  
Vol 29 (05) ◽  
pp. 1550026 ◽  
Author(s):  
Rang Wang ◽  
Jia-Ning Zhou ◽  
Xue-Mei Liu ◽  
Hua Xiao
Keyword(s):  
External Force ◽  
Driving Force ◽  
Average Velocity ◽  
Static Load ◽  
Narrow Channel ◽  
Load Force ◽  
Narrow Channels ◽  
Brownian Particles ◽  
Peaked Function ◽  
External Driving

Transport and efficiency of over-damped Brownian particles moving in a confined narrow channel is investigated in the presence of an oscillating force and a static load force. It is found that the average velocity increases monotonously with the unbiased external driving force, while the efficiency can be a peaked function of unbiased external force, which indicates that the unbiased external force can facilitate the efficiency of energy transformation. Moreover, the average velocity and the efficiency demonstrate complex behaviors due to the consideration of Stokes efficiency.

DIRECTED MOTION INDUCED BY SHIFTING RATCHET

2000 ◽  
Vol 14 (24) ◽  
pp. 2609-2616 ◽  
Author(s):  
YUXIAO LI ◽  
XIZHEN WU ◽  
YIZHONG ZHUO
Keyword(s):  
Driving Force ◽  
Transition Rate ◽  
Average Velocity ◽  
Thermal Noise ◽  
Periodic Potential ◽  
Directed Motion ◽  
Brownian Particles

The motion of Brownian particles in a spatial asymmetric periodic potential is considered. In the absence of any external macroscopic driving force, when the potential transits stochastically between two configurations which are shifted by a distance relative to each other, directed motion can be induced. The dependence of the average velocity on the transition rate, the strength of thermal noise and the shift distance between the two configurations of potential are analyzed. The efficiency of the system is evaluated.

Disturbing the random-energy landscape

1993 ◽  
Vol 48 (3) ◽  
pp. R1617-R1619 ◽  
Author(s):  
Timothy Halpin-Healy ◽  
Devorah Herbert
Keyword(s):  
Energy Landscape ◽  
Random Energy

scholarly journals Collective diffusion and a random energy landscape

2000 ◽  
Vol 62 (1) ◽  
pp. 221-226 ◽  
Author(s):  
Michael Schulz ◽  
Steffen Trimper
Keyword(s):  
Energy Landscape ◽  
Random Energy
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