Generalized contact process with n absorbing states.
Generalized contact process with n absorbing states.
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n 个吸收态的广义接触过程。
DOI：
10.1103/physreve.64.036124
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
C. Vanderzande
中科院分区：
文献类型：
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作者：
J. Hooyberghs;E. Carlon;C. Vanderzande
研究了具有n（排列对称）吸收态的一维随机晶格模型的临界性质。我们利用非厄米密度矩阵重整化群分析了n</=4的情况。对于n=1和n=2，我们发现模型分别属于定向渗流和宇称守恒普适性类，与前人的研究结果一致。当n=3和n=4时，模型在整个参数空间处于活跃阶段，临界点移至一个无限反应速率的极限。我们证明，在这个极限下，模型的动力学可以映射到零温度n态波茨模型的动力学。根据我们的数值和解析结果，我们推测，对于指数为z=nu(||)/nu（垂直）=2,nu（垂直）=1和beta=1的所有n>/=3，该模型都属于同一通用性类。这些指数与多物种（玻色子）分支湮灭随机游走的指数一致。对于n=3，我们还表明，在将对称性打破为较低的对称（Z2）时，根据参数的选择，可以在定向渗透中或在宇称守恒类中获得跃迁。
We investigate the critical properties of a one-dimensional stochastic lattice model with n (permutation symmetric) absorbing states. We analyze the cases with n</=4 by means of the nonhermitian density-matrix renormalization group. For n=1 and n=2 we find that the model is, respectively, in the directed percolation and parity conserving universality class, consistent with previous studies. For n=3 and n=4, the model is in the active phase in the whole parameter space and the critical point is shifted to the limit of one infinite reaction rate. We show that in this limit, the dynamics of the model can be mapped onto that of a zero temperature n-state Potts model. On the basis of our numerical and analytical results, we conjecture that the model is in the same universality class for all n>/=3 with exponents z=nu( ||)/nu( perpendicular)=2, nu( perpendicular)=1, and beta=1. These exponents coincide with those of the multispecies (bosonic) branching annihilating random walks. For n=3 we also show that, upon breaking the symmetry to a lower one (Z2), one gets a transition either in the directed percolation, or in the parity conserving class, depending on the choice of parameters.