Finite Size Effect in the Quasi-One-Dimensional Ising Model.

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  • Lee Kyu Won
    Natural Science Research Institute, Jeonju University, Jeonju 560-759, Korea

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We have studied the finite size effect in the quasi-one-dimensional Ising model by using a Monte Carlo simulation. A marked finite size effect was found with decreasing interchain interaction. Aside from the well-known dimensional crossover from 3D to 1D, a dimensional crossover from 3D to 2D at a crossover size Lc(λ) ∼ -1/(λ ln λ) was revealed as an origin of the finite size effect, where λ is the ratio of the interchain interaction to the intrachain one.

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