Europhys. Lett, 47 (6), pp. 643-648 (1999)
Drift of a polymer chain in disordered media
S. Stepanow and M. Schulz
Martin-Luther-Universität Halle-Wittenberg, Fachbereich Physik
D-06099, Halle, Germany
(received 12 April 1999; accepted in final form 9 July 1999)
PACS. 05.40 - Fluctuation phenomena, random processes, noise, and Brownian motion.
PACS. 36.20Cw - Molecular weights, dispersity.
PACS. 61.41 - Polymers, elastomers, and plastics.
We consider the drift of a polymer chain in a disordered medium, which is caused by a constant force applied to one end of the polymer, under neglecting thermal fluctuations. In the lowest order of the perturbation theory we have computed the transversal fluctuations of the centre of mass of the polymer, the transversal and the longitudinal size of the polymer, and the average velocity of the polymer. The corrections to the quantities under consideration, which are due to the interplay between the motion and the quenched forces, are controlled by the driving force and the degree of polymerization. The transversal fluctuations of the Brownian particle and of the centre of mass of the polymer are obtained to be diffusive. The transversal fluctuations studied in the present letter may also be of relevance for the related problem of the drift of a directed polymer in disordered media and its applications.
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