Strong disorder fixed point in absorbing-state phase transitions -: art. no. 100601
Strong disorder fixed point in absorbing-state phase transitions -: art. no. 100601
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DOI：
10.1103/physrevlett.90.100601
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发表时间：
2003-03-14
影响因子：
8.6
通讯作者：
Vanderzande, C
中科院分区：
文献类型：
--
作者：
Hooyberghs, J;Iglói, F;Vanderzande, C
用强无序重整化群方法和密度矩阵重整化群计算研究了定向渗流普适类中猝灭无序对非平衡相变的影响。我们表明，足够强的无序的临界行为是由一个强的无序不动点和在一维的临界指数是精确的：β =（3-root 5）/2和nu（垂直）= 2。对于这个固定点的吸引力区域之外的无序强度，检测到无序依赖的临界指数。现有的二维数值结果可以在类似的情况下解释。
The effect of quenched disorder on nonequilibrium phase transitions in the directed percolation universality class is studied by a strong disorder renormalization group approach and by density matrix renormalization group calculations. We show that for sufficiently strong disorder the critical behavior is controlled by a strong disorder fixed point and in one dimension the critical exponents are conjectured to be exact: beta = (3-root5)/2 and nu(perpendicular to) = 2. For disorder strengths outside the attractive region of this fixed point, disorder dependent critical exponents are detected. Existing numerical results in two dimensions can be interpreted within a similar scenario.