Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1997-04-16
J. Stat. Phys. 90 (1998) 57.
Physics
Condensed Matter
Statistical Mechanics
23 Pages, 8 Figures included, Latex2e
Scientific paper
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.
Dhar Deepak
Koduvely Hari M.
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