Solid on solid model for adsorption on self-affine substrate: a transfer matrix approach

G. Giugliarelli and A.L. Stella

Physica A: Statistical Mechanics and its Applications, 1994, vol. 212, issue 1, 12-25

Abstract: We study a d=2 discrete solid-on-solid model of complete wetting of a rough substrate with random self-affine boundary, having roughness exponent ζs. A suitable transfer matrix approach allows to discuss adsorption isotherms, as well as geometrical and thermal fluctuations of the interface. For ζs ≤ 12 the same wetting exponent ψ = 13 as for flat substrate is obtained for the dependence of the coverage, θ, on the chemical potential, h (θ ∼ h-ψforh → O). The expected existence of a zero temperature fixed point, leading to ψ = ζs(2−ζs) for ζs > 12, is verified numerically in spite of an unexpected, very slow convergence to asymptotics.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:212:y:1994:i:1:p:12-25

DOI: 10.1016/0378-4371(94)90134-1

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