2003/03/17 by Hyunggyu Park, Park, Hyunggyu
Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0303301
3 pages, no figures, submitted to PRE as a Comment
arxiv created 2003/03/17 · arxiv updated 2009/11/30
Recently Jeong and Kim [Phys. Rev. E \bf 66, 051605 (2002)] investigated the scaling properties of equilibrium self-flattening surfaces subject to a restricted curvature constraint. In one dimension (1D), they found numerically that the stationary roughness exponent α≈ 0.561 and the window exponent δ≈ 0.423. We present an analytic argument for general self-flattening surfaces in D dimensions, leading to α=Dα0 /(D+α0) and δ=D/(D+α0) where α0 is the roughness exponent for equilibrium surfaces without the self-flattening mechanism. In case of surfaces subject to a restricted curvature constraint, it is known exactly that α0=3/2 in 1D, which leads to α=3/5 and δ=2/5. Small discrepancies between our analytic values and their numerical values may be attributed to finite size effects.