MCRG study of fixed-connectivity surfaces
MCRG study of fixed-connectivity surfaces
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DOI：
10.1016/0550-3213(96)00154-x
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发表时间：
1996-06-03
影响因子：
2.8
通讯作者：
Travesset, A
中科院分区：
文献类型：
--
作者：
Espriu, D;Travesset, A
我们将蒙特卡罗重整化群应用于固定连通性随机表面模型中的皱缩过渡。众所周知，这种转变很难用数字来处理。我们在这里采用傅立叶加速 Langevin 算法与动量空间中的新颖分块程序相结合，该程序在 lambda phi(4) 中已被证明非常成功。我们在多达 64(2) 个位点的格子中执行两次连续的重整化。我们获得的临界指数 nu 的结果与之前的估计和类似的误差线基本一致，但计算量要少得多。我们还可以非常准确地测量 eta。作为副产品，我们能够确定随机表面在褶皱过渡处的分形维数 d(H)。
We apply the Monte Carlo Renormalization group to the crumpling transition in random surface models of fixed connectivity. This transition is notoriously difficult to treat numerically. We employ here a Fourier accelerated Langevin algorithm in conjunction with a novel blocking procedure in momentum space which has proven extremely successful in lambda phi(4). We perform two successive renormalizations in lattices with up to 64(2) sites. We obtain a result for the critical exponent nu in general agreement with previous estimates and similar error bars, but with much less computational effort. We also measure with great accuracy eta. As a by-product we are able to determine the fractal dimension d(H) of random surfaces at the crumpling transition.