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29 March 2024
 
  » arxiv » cond-mat/9702202

 Article overview


Short Time Behavior in De Gennes' Reptation Model
Ute Ebert ; Artur Baumgärtner ; Lothar Schäfer ;
Date 21 Feb 1997
Journal Phys. Rev. Lett. 78, 1592 (1997)
Subject Soft Condensed Matter; Statistical Mechanics | cond-mat.soft cond-mat.stat-mech
AbstractTo establish a standard for the distinction of reptation from other modes of polymer diffusion, we analytically and numerically study the displacement of the central bead of a chain diffusing through an ordered obstacle array for times $t < O(N^2)$. Our theory and simulations agree quantitatively and show that the second moment approaches the $t^{1/4}$ often viewed as signature of reptation only after a very long transient and only for long chains (N > 100). Our analytically solvable model furthermore predicts a very short transient for the fourth moment. This is verified by computer experiment.
Source arXiv, cond-mat/9702202
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