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摘要翻译：
本文采用Monte Carlo模拟、解析近似和标准平均场理论对无序和周期二元二维晶格中接触过程的临界行为进行了数值研究。数值计算的相分离线与均相点附近的解析预测吻合较好。对于无序情况，通过准定常模拟得到的静态标度指数随无序强度的变化而变化。特别地，感染部位密度的有限尺度标度指数接近于一个与以前对二维无序CP的无限随机性不动点存在一致的值。同时，动力学和静态标度指数与均匀情况下的标度指数一致，从而证实了非均匀环境下的接触过程属于有向渗流通用性范畴。
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英文标题：
《The contact process in disordered and periodic binary two-dimensional
lattices》
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作者：
S.V. Fallert, Y.M. Kim, C.J. Neugebauer, S.N. Taraskin
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最新提交年份：
2008
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
The critical behavior of the contact process in disordered and periodic binary 2d-lattices is investigated numerically by means of Monte Carlo simulations as well as via an analytical approximation and standard mean field theory. Phase-separation lines calculated numerically are found to agree well with analytical predictions around the homogeneous point. For the disordered case, values of static scaling exponents obtained via quasi-stationary simulations are found to change with disorder strength. In particular, the finite-size scaling exponent of the density of infected sites approaches a value consistent with the existence of an infinite-randomness fixed point as conjectured before for the 2d disordered CP. At the same time, both dynamical and static scaling exponents are found to coincide with the values established for the homogeneous case thus confirming that the contact process in a heterogeneous environment belongs to the directed percolation universality class.
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PDF链接：
https://arxiv.org/pdf/704.3176
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