2次元界面のモンテカルロシミュレーション

概要

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We numerically study two-dimensional interfaces between two different fluids, by a Monte Carlo technique. The canonical ensemble averages of various observables on interfaces are obtained from a time series of configurations of interfaces produced by a canonical MC. We find that the specific heat C, which is a fluctuation of the internal energy, becomes large at the critical point b_c. The peak height of the specific heat C(b_c) increases as the number N of constituent particles of the interface increases, so that the height C(b_c) scales as C(b_c)〜N^σ, where σ is called a critical exponent. It is observed that σ<1, therefore we conclude that the phase transition between the ordered and disordered phases is of second order. Models of nonintersecting and area nonpreserving fluid membranes are also studied by canonical and grand-canonical MCs, respectively. We show clear evidence that these models also have phase transitions.
1996-01-25