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