Scaling in the two-component surface growth

Details Scaling in the two-component surface growth Scaling in the two-component surface growth

1998-05-12

arxiv.org/abs/cond-mat/9805142v1

Phys. Rev. B. 58 (1998) 10003 - 10011

Physics

Condensed Matter

Statistical Mechanics

15 pages, 12 figures, Revtex, submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.58.10003

We studied scaling in kinetic roughening and phase ordering during growth of binary systems using 1+1 dimensional single-step solid-on-solid model with two components interacting via Ising-like interaction with the strength K. We found that the model exhibits crossover from the intermediate regime, with effective scaling exponents for kinetic roughening significantly larger than for the ordinary single-step growth model, to asymptotic regime with exponents of the Kardar-Parisi-Zhang class. Crossover time and length are exponentially increasing with K. For a given large K, scaling with enhanced exponents is valid over many decades. The effective scaling exponents are continuously increasing with K. Surface ordering proceeds up to crossover. Average size of surface domains increases during growth with the exponent close to 1/2, the spin-spin correlation function and the distribution of domains obey scaling with the same exponent.

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