Weak and strong dynamic scaling in a one-dimensional coupled-field model: effects of kinematic waves

Das, Dibyendu ; Basu, Abhik ; Barma, Mustansir ; Ramaswamy, Sriram (2001) Weak and strong dynamic scaling in a one-dimensional coupled-field model: effects of kinematic waves Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 64 (2). 021402_1-021402_15. ISSN 1539-3755

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Official URL: http://pre.aps.org/abstract/PRE/v64/i2/e021402

Related URL: http://dx.doi.org/10.1103/PhysRevE.64.021402

Abstract

We study the coupled dynamics of the displacement fields in a one-dimensional coupled-field model for drifting crystals, first proposed by Lahiri and Ramaswamy [Phys. Rev. Lett. 79, 1150 (1997)]. We present some exact results for the steady state and the current in the lattice version of the model for a special subspace in the parameter space, within the region where the model displays kinematic waves. We use these results to construct the effective continuum equations corresponding to the lattice model. These equations decouple at the linear level in terms of the eigenmodes. We examine the long-time, large-distance properties of the correlation functions of the eigenmodes by using symmetry arguments, Monte Carlo simulations, and self-consistent mode-coupling methods. For most parameter values, the scaling exponents of the Kardar-Parisi-Zhang equation are obtained. However, for certain symmetry-determined values of the coupling constants the two eigenmodes, although nonlinearly coupled, are characterized by two distinct dynamic exponents. We discuss the possible application of the dynamic renormalization group in this context.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:79615
Deposited On:27 Jan 2012 13:01
Last Modified:27 Jan 2012 13:01

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