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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 | Abstract: | We 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 | Services: | Forum | Review | PDF | Favorites |
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