結晶界面モデルのランジュバンシミュレーション(流体工学,流体機械)
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概要
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We study a network model of crystalline membranes using Langevin simulation technique, where the model is defined by the Helfrich energy function. The Langevin equation is discretized by Euler algorithm with a discrete time step Δt. Time series of the bending energy and those of the mean square size are generated by iterations of the discrete Langevin equation. Comparing the time averages of these samples with those obtained by the canonical Monte Carlo, we see that the more Δt is small the more the Langevin results are close to the MC ones. Then by using several Δt's, the critical exponent of the shape fluctuation phase transition and the critical Hausdorff dimension are calculated in each Δt. As a result, we find that the critical exponent and the Hausdorff dimension obtained by the Langevin simulation are identical with those obtained by MC within the errors at Δt = 0.0001〜0.002.
- 2003-05-25
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