摘要翻译:
采用标准蒙特卡罗方法,在固定密度条件下,研究了带扩散的配对接触过程(PCPD)。基于粒子密度或对密度的模拟结果的标准分析给出了不一致的临界指数估计。然而,如果选择合适的粒子密度和对密度的线性组合,则可以抑制超前修正,并得到独立临界指数delta=0.16(2)、beta=0.28(2)和z=1.58的一致估计。由于这些估计也与它们在有向渗流(DP)中的值一致,我们得出结论,PCPD与DP属于相同的普适性类别。
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英文标题:
《Universality class of the pair contact process with diffusion》
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作者:
F. Smallenburg and G. T. Barkema
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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 pair contact process with diffusion (PCPD) is studied with a standard Monte Carlo approach and with simulations at fixed densities. A standard analysis of the simulation results, based on the particle densities or on the pair densities, yields inconsistent estimates for the critical exponents. However, if a well-chosen linear combination of the particle and pair densities is used, leading corrections can be suppressed, and consistent estimates for the independent critical exponents delta=0.16(2), beta=0.28(2) and z=1.58 are obtained. Since these estimates are also consistent with their values in directed percolation (DP), we conclude that PCPD falls in the same universality class as DP.
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PDF链接:
https://arxiv.org/pdf/710.3692


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