Dynamical Properties of a Growing Surface on a Random Substrate

Abstract

The dynamics of the discrete Gaussian model for the surface of a crystal deposited on a disordered substrate is investigated by Monte Carlo simulations. The mobility of the growing surface was studied as a function of a small driving force $F$ and temperature $T$. A continuous transition is found from high-temperature phase characterized by linear response to a low-temperature phase with nonlinear, temperature dependent response. In the simulated regime of driving force the numerical results are in general agreement with recent dynamic renormalization group predictions.

10 pages, latex, 3 figures, to appear in Phys. Rev. E (RC)

References in corpus (5)

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Cited by in corpus (4)

• Static and Dynamic Properties of Inhomogeneous Elastic Media on Disordered Substrate
• Crystal surfaces with correlated disorder: Phase transitions between roughening and superroughening
• Roughening and superroughening in the ordered and random two-dimensional sine-Gordon models
• Phase Diagram for Splay Glass Superconductivity