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Proceedings Paper

Dynamics of two coupled particles: comparison of Lennard-Jones and spring forces
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Paper Abstract

The motion of elastically coupled Brownian particles in ratchet-like potentials has attracted much recent interest due to its application to transport processes in many fields, including models of DNA polymers. We consider the influence of the type of interacting force on the transport of two particles in a one-dimensional flashing ratchet. Our aim is to examine whether the common assumption of elastic coupling captures the important features of ratchet transport when the inter-particle forces are more complex. We compare Lennard-Jones type interaction to the classical case of elastically coupled particles. Numerical simulations agree with analytical formulas for the limiting cases where the coupling is very weak or very strong. Parameter values where the Lennard-Jones force is not well approximated by a linearization of the force about the equilibrium distance are identified.

Paper Details

Date Published: 23 May 2005
PDF: 11 pages
Proc. SPIE 5845, Noise in Complex Systems and Stochastic Dynamics III, (23 May 2005); doi: 10.1117/12.609225
Show Author Affiliations
Renata Retkute, Univ. College Cork (Ireland)
James P. Gleeson, Univ. College Cork (Ireland)

Published in SPIE Proceedings Vol. 5845:
Noise in Complex Systems and Stochastic Dynamics III
Laszlo B. Kish; Katja Lindenberg; Zoltan Gingl, Editor(s)

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