arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0704.3176cond-mat.stat-mech
收藏

二维无序周期二元晶格中的接触过程

The contact process in disordered and periodic binary two-dimensional lattices

S. V. Fallert, Y. M. Kim, C. J. Neugebauer, S. N. Taraskin

摘要:

利用蒙特卡罗模拟、解析近似和标准平均场论,数值研究了无序和周期性二元二维晶格中接触过程的临界行为.数值计算的相分离线被发现同意与分析预测周围的均匀点。对于无序的情况下,通过准静态模拟得到的静态标度指数的值被发现随无序强度而变化。特别是,受感染的网站的密度的有限尺寸标度指数接近一个值与存在一个无限的随机不动点,如前所述的二维无序CP。同时,无论是动态和静态标度指数被发现符合所建立的值为均匀的情况下,从而确认在非均匀环境中的接触过程属于定向渗流普适类。

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑