LETTER TO THE EDITOR: Precise critical exponents for the basic contact process
LETTER TO THE EDITOR: Precise critical exponents for the basic contact process
复制标题
致编辑的信：基本接触过程的精确关键指数
DOI：
10.1088/0305-4470/32/44/102
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
J. R. G. Mendonça
中科院分区：
文献类型：
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作者：
J. R. G. Mendonça
通过对一维基本接触过程的主算子的精确数值对角化，计算了有向渗流普适性类的一些临界指数。仔细研究幂方法以及有限大小的缩放使我们能够以相对较少的计算工作量在估计中获得高度的准确性。一个简单的推理导致适当的选择微观时间尺度的时间依赖模拟马尔可夫链在所谓的量子链公式进行了讨论。我们的方法适用于任何具有有限吸收态的随机过程。
We calculated some of the critical exponents of the directed percolation universality class through exact numerical diagonalizations of the master operator of the one-dimensional basic contact process. Perusal of the power method together with finite-size scaling allowed us to achieve a high degree of accuracy in our estimates with relatively little computational effort. A simple reasoning leading to the appropriate choice of the microscopic time scale for time-dependent simulations of Markov chains within the so-called quantum chain formulation is discussed. Our approach is applicable to any stochastic process with a finite number of absorbing states.