Numerical Examination of the Universality of the Equilibrium Crystal Shape in Some SOS Models
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概要
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By means of the Monte Carlo twist method, we examine the universality of the following critical properties of the equilibrium crystal shape in the discrete Gaussian (DG) model and restricted solid-on-solid (RSOS) model : c1) a finite curvature jump at the roughening temperature T_R, c2) the profile of a facet with a singularlity at the facet edge for T<T_R, and c3) the radius of the facet near TR proportional to exp (-a√<1-T/T_R>). We obtain the following results with the help of some results obtained analytically. The DG and RSOS models have T_R=1.44±0.02 and 1.60±0.05, respectively. c2) is universal for these models. For the DG model c1) well agrees with the exact result of the body-centered SOS model, whereas for the RSOS model it is almost equal to twice the latter. Finite-size-scaling for c3) is excellent for the DG model, while it is consistent but inconclusive for the RSOS model.
- 社団法人日本物理学会の論文
- 1995-06-15
著者
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Ueno Yohtaro
Department Of Physics Tokyo Institute Of Technogy
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Hamuro Daisuke
Department of Physics, Tokyo Institute of Technology
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Hamuro Daisuke
Department Of Physics Tokyo Institute Of Technology
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