An Imaginary Path-Weight Random-Walk Method for Calculation of One-Dimensional Interface Tension

概要

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We propose an efficient approximation scheune to calculate one-dimensionalanisotropic interface tension ')t(O) (2: interface orientation angle). For a given system,we set up an approximate free random-walk problem where an extra itnaginaty factore"" is assigned at each turn of the walks, just as in Feynman-Vdovichenko's randomwalk solution of the Ising model. We calculate y(0) from the lattice Green's function6 associated with the random-walk problem. The equilibrium crystal shape is simplygiven by imaginary poles of 'l. We apply the method, the imaginaty path-weightmethod, to the hexagonal antiferromagnetic Ising model in a ttniform field. We showthat, at a particular orientation, the calculated y(O) reproduce', the accurate solid-onsolid result. The Wulff plot and the equilibrium crystal shape are presented.[interfase tension, equilibrium crystal shape, random xvalk, Ising model, ll anisotropy, antiferromagnetl
社団法人日本物理学会の論文
1990-09-15