Monte Carlo Study of the Surface Critical Phenomena of the Ising Model | Zendy

Macoto Kikuchi | Zendy; Yutaka Okabe | Zendy

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Monte Carlo Study of the Surface Critical Phenomena of the Ising Model

Author(s) -

Macoto Kikuchi,

Yutaka Okabe

Publication year - 1985

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.73.32

Subject(s) - physics , ising model , monte carlo method , magnetization , critical point (mathematics) , condensed matter physics , scaling , amplitude , critical exponent , critical phenomena , statistical physics , surface (topology) , widom scaling , phase transition , quantum mechanics , magnetic field , statistics , geometry , mathematics

Monte Carlo technique is applied to the three·dimensional Ising model with free surface. The critical behavior of the layer magnetization, the layer susceptibility and the local susceptibility near the ordinary transition point is investigated. The universal properties of the surface critical exponents and the surface critical amplitude ratios are confirmed. The scaling of magnetization profile is studied, and the bulk amplitude ratio for the correlation length ~o h / ~o - is calculated.

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