Damage-spreading phase and damage-frozen phase in a solid-on-solid model.
Based on the recently suggested scaling ansatz [Phys. Rev. E 62, 3376 (2000)] for damage spreading in the surface roughening phenomenon, the characteristics of the damage-spreading phase and damage-frozen phase in a two-dimensional solid-on-solid model that has a roughening transition at T=T(R) are studied. In the damage-spreading phase, which exists for T>T(R), the average vertical damage-spreading distance d(perpendicular)(d(//)=0,L,T) and the average lateral damage-spreading distance D(//)(L,T) are shown to satisfy d(perpendicular)(d(//)=0,L,T) approximately ln L and D(//)(L,T) approximately L, respectively. In the damage-frozen phase, which exists for T<T(R), it is shown that d( perpendicular)(d(//)=0,L-->infinity,T) approximately finite and D(//)(L-->infinity,T) approximately finite. From these results it is concluded that the damage-spreading phase describes the surface roughening phase well and the damage-frozen phase describe the smooth phase well.
Kim
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Department of Physics, Kyung-Hee University, Seoul 130-701, Korea. ykim@khu.ac.kr