A simple two-dimensional (2D) model of a phase growing on a substrate is introduced. The model is characterized by an adsorption rate q, and a desorption rate p. It exhibits a wetting transition which may be viewed as an unbinding transition of an interface from a wall. For p = 1, the model may be mapped onto an exactly soluble equilibrium model exhibiting complete wetting with critical exponents γ = 1/3 for the diverging interface width and x0 = 1 for the zero-level occupation. For 0<p≠1 a crossover to different exponents is observed which is related to a Kardar-Parisi-Zhang-type nonlinearity.
A model for Nonequilibrium Wetting Transitions in Two Dimensions / H. HINRICHSEN; R. LIVI; D. MUKAMEL; A. POLITI. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - STAMPA. - 79:(1997), pp. 2710-2713.
A model for Nonequilibrium Wetting Transitions in Two Dimensions
LIVI, ROBERTO;
1997
Abstract
A simple two-dimensional (2D) model of a phase growing on a substrate is introduced. The model is characterized by an adsorption rate q, and a desorption rate p. It exhibits a wetting transition which may be viewed as an unbinding transition of an interface from a wall. For p = 1, the model may be mapped onto an exactly soluble equilibrium model exhibiting complete wetting with critical exponents γ = 1/3 for the diverging interface width and x0 = 1 for the zero-level occupation. For 0
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