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Equilibrium Restricted Solid-on-Solid Model in Higher Dimensions
New Phys.: Sae Mulli 2019; 69: 842~845
Published online August 30, 2019;
© 2019 New Physics: Sae Mulli.

Dae Ho PARK, Jin Min KIM*

Department of Physics, Soongsil University, Seoul 06978, Korea
Correspondence to:
Received May 15, 2019; Revised July 5, 2019; Accepted July 8, 2019.
cc This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
We study the equilibrium restricted solid-on-solid model in $d=3$ and $d=4$ dimensions. The equilibrium model is a special case of the restricted solid-on-solid model with the same evaporation and deposition probability. The dispersion $W^2 (t)$ of the surface height increases as $\log t$ with time $t$ and satisfies the scaling form $W^2 (L,t) \sim \log [L^{2a} f(t/L^{z})]$ with $z=2.03$ in $d=3$. The saturated $W^2 _{sat} (L)$ is almost independent of the system size $L$ and follows $W^2 (L,t) = {W_{\mbox{int}}}^2 - L^{2\alpha} g(t/L^{z})$ with $\alpha = -0.51$ and $z = 2.01$ in $d=4$. Our numerical results support the statement that the equilibrium restricted solid-on-solid model belongs to the Edwards-Wilkinson universality class even in higher dimensions.
PACS numbers: 05.40.$-$a, 64.60.Ht, 68.35.Fx
Keywords: Equilibrium Restricted solid-on-solid model, Edwards-Wilkinson equation, Kardar-Parisi-Zhang equation

August 2019, 69 (8)
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