A model of subdiffusive interface dynamics with a local conservation of minimum height

Koduvely, Hari M. ; Dhar, Deepak (1998) A model of subdiffusive interface dynamics with a local conservation of minimum height Journal of Statistical Physics, 90 (1-2). pp. 57-77. ISSN 0022-4715

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Official URL: http://www.springerlink.com/content/l34w77p6852k81...

Related URL: http://dx.doi.org/10.1023/A:1023291315658

Abstract

We define a new model of interface roughening in one dimension which has the property that the minimum of interface height is conserved locally during the evolution. This model corresponds to the limit q → ∞ of the q-color dimer deposition-evaporation model introduced by us earlier [Hari Menon and Dhar, J. Phys. A: Math. Gen. 28:6517 (1995)]. We present numerical evidence from Monte Carlo simulations and the exact diagonalization of the evolution operator on finite rings that growth of correlations in this model is subdiffusive with dynamical exponent z ≈ 2.5. For periodic boundary conditions, the variation of the gap in the relaxation spectrum with system size appears to involve a logarithmic correction term. Some generalizations of the model are briefly discussed.

Item Type:Article
Source:Copyright of this article belongs to Springer-Verlag.
Keywords:Interface Growth; Stochastic Models; Deposition-evaporation; Conserved Quantities; Integrable Models; Burgers Equation; Roughening; Diffusion of Polymers; Rouse Model
ID Code:9366
Deposited On:02 Nov 2010 12:21
Last Modified:08 Feb 2011 08:21

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