A Model of Interface Growth with non-Burgers Dynamical Exponent

Hari M. Koduvely; Deepak Dhar

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A Model of Interface Growth with non-Burgers Dynamical Exponent

Hari M. Koduvely·Deepak Dhar

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Abstract

We define a new model of interface roughening which has the property that the minimum of interface height is conserved locally during the growth. This model corresponds to the limit $q \to \infty$ of the q-color dimer deposition-evaporation model introduced by us earlier [Hari Menon M K and Dhar D 1995 J. Phys. A: Math. Gen. 28 6517]. We present numerical evidence from Monte Carlo simulations and the exact diagonalization of the evolution operator on finite rings that this model is not in the universality class of the Kardar-Parisi-Zhang interface growth model. The dynamical exponent z in one dimension is larger than 2, with $z \approx 2.5$. And there are logarithmic corrections to the scaling of the gap with system size. Higher dimensional generalization of the model is briefly discussed.

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Hari M. Koduvely, Deepak Dhar. 1997-04-16. A Model of Interface Growth with non-Burgers Dynamical Exponent. https://arxiv.org/abs/cond-mat/9704139

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