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23 April 2024
 
  » arxiv » cond-mat/0310447

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Dynamics of a Rigid Rod in a Glassy Medium
Angel J. Moreno ; Walter Kob ;
Date 20 Oct 2003
Subject Disordered Systems and Neural Networks | cond-mat.dis-nn
AbstractWe present simulations of the motion of a single rigid rod in a disordered static 2d-array of disk-like obstacles. The rotational, $D_{ m R}$, and center-of-mass translational, $D_{ m CM}$, diffusion constants are calculated for a wide range of rod length $L$ and density of obstacles $ ho$. It is found that $D_{ m CM}$ follows the behavior predicted by kinetic theory for a hard disk with an effective radius $R(L)$. A dynamic crossover is observed in $D_{ m R}$ for $L$ comparable to the typical distance between neighboring obstacles $d_{ m nn}$. Using arguments from kinetic theory and reptation, we rationalize the scaling laws, dynamic exponents, and prefactors observed for $D_{ m R}$. In analogy with the enhanced translational diffusion observed in deeply supercooled liquids, the Stokes-Einstein-Debye relation is violated for $L > 0.6d_{ m nn}$.
Source arXiv, cond-mat/0310447
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