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Title:
Discretized model for diffusion of a chain in one dimension
Authors:
Guidoni, S. E.; Mártin, H. O.; Aldao, C. M.
Affiliation:
Institute of Materials Science and Technology (INTEMA), Universidad Nacional de Mar del Plata–CONICET, Juan B. Justo 4302, 7600 Mar del Plata, Argentina
Publication:
Physical Review E, vol. 67, Issue 3, id. 031804 (PhRvE Homepage)
Publication Date:
03/2003
Origin:
APS
PACS Keywords:
Macromolecules and polymer molecules, Reptation and tube theories, Diffusion and thermal diffusion
Abstract Copyright:
(c) 2003: The American Physical Society
DOI:
10.1103/PhysRevE.67.031804
Bibliographic Code:
2003PhRvE..67c1804G

Abstract

With the help of Monte Carlo simulations, the one-dimensional diffusion motion of a chain of N beads is studied to determine its diffusion coefficient and viscosity. We found that the end bead movements with respect to that of the central beads play a key role. There is no memory between bead hops but they become correlated as a consequence of the chain dynamics. This determines the scaling exponents and the relation connecting them. In particular, the scaling exponent for the viscosity can be smaller or greater than 3 but it must scale as N3 in the asymptotic regime (N→∞). We analyze in detail the dynamics of a chain with three beads to explain why the expected relation between diffusivity and viscosity exponents is not satisfied.
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