Time-reversal invariance and universality of two-dimensional growth models

M. Plischke, Z. Rácz, D. Liu

Research output: Contribution to journalArticle

199 Citations (Scopus)

Abstract

We study a model of interface dynamics which describes a surface-tension-biased process of simultaneous deposition and evaporation of particles. The control parameter of the model is the average translational velocity (v) of the interface which is determined by the difference between the rates of deposition and evaporation. For v=0 the dynamics is reversible and the two-dimensional problem can be solved exactly by mapping the system onto a kinetic Ising model. For the case of irreversible growth (v 0), we use Monte Carlo methods to calculate the dynamic structure factor, S(k,t), of the surface. We find that S(k,t) obeys dynamic scaling: S(k,t)k-2+f(kzt) with =0 for all v, whereas z=2 for v=0 and z=(3/2) for v 0. These results suggest that the long-wavelength, long-time limit of our interface model can be described by Burgers equation and, furthermore, that the change in the dynamical exponent z is related to the breaking of time-reversal symmetry which occurs as v becomes nonzero.

Original languageEnglish
Pages (from-to)3485-3495
Number of pages11
JournalPhysical Review B
Volume35
Issue number7
DOIs
Publication statusPublished - 1987

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Invariance
invariance
Evaporation
evaporation
Ising model
Burger equation
Monte Carlo method
Surface tension
interfacial tension
Monte Carlo methods
exponents
scaling
Wavelength
Kinetics
kinetics
symmetry
wavelengths

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Time-reversal invariance and universality of two-dimensional growth models. / Plischke, M.; Rácz, Z.; Liu, D.

In: Physical Review B, Vol. 35, No. 7, 1987, p. 3485-3495.

Research output: Contribution to journalArticle

Plischke, M. ; Rácz, Z. ; Liu, D. / Time-reversal invariance and universality of two-dimensional growth models. In: Physical Review B. 1987 ; Vol. 35, No. 7. pp. 3485-3495.
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