Fluctuation-induced transport of two coupled particles: Effect of the interparticle interaction

Makhnovskii Yurii A, Viktor M Rozenbaum, Sheh-Yi Sheu, Dah-Yen Yang, Leonid I. Trakhtenberg, Sheng Hsien Lin

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Abstract

We consider a system of two coupled particles fluctuating between two states, with different interparticle interaction potentials and particle friction coefficients. An external action drives the interstate transitions that induces reciprocating motion along the internal coordinate x (the interparticle distance). The system moves unidirectionally due to rectification of the internal motion by asymmetric friction fluctuations and thus operates as a dimeric motor that converts input energy into net movement. We focus on how the law of interaction between the particles affects the dimer transport and, in particular, the role of thermal noise in the motion inducing mechanism. It is argued that if the interaction potential behaves at large distances as x(alpha), depending on the value of the exponent a, the thermal noise plays a constructive (alpha > 2), neutral (alpha = 2), or destructive (alpha < 2) role. In the case of alpha = 1, corresponding piecewise linear potential profiles, an exact solution is obtained and discussed in detail. (C) 2014 AIP Publishing LLC.
Original languageEnglish
Article number214108
JournalJournal of Chemical Physics
Volume140
Issue number21
DOIs
StatePublished - 7 Jun 2014

Keywords

  • BROWNIAN MOTORS; MOLECULAR MOTORS; CONSTRUCTIVE ROLE; RATCHET; MOTION; NOISE; MODEL; TRANSLOCATION; FRICTION; KINESIN

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