摘要翻译:
我用精确的(数值确定的)准态概率分布导出了小系统吸收态相变的精确结果。对23个或更少位置环的接触过程进行分析,得到临界性质(控制参数、序参量比、临界指数z和beta/nu_perp),精度优于0.1%;对于指数nu_perp,其准确度约为0.5%。对接触过程也得到了很好的结果。
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英文标题:
《Absorbing-state phase transitions: exact solutions of small systems》
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作者:
Ronald Dickman
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最新提交年份:
2007
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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:
I derive precise results for absorbing-state phase transitions using exact (numerically determined) quasistationary probability distributions for small systems. Analysis of the contact process on rings of 23 or fewer sites yields critical properties (control parameter, order-parameter ratios, and critical exponents z and beta/nu_perp) with an accuracy of better than 0.1%; for the exponent nu_perp the accuracy is about 0.5%. Good results are also obtained for the pair contact process.
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PDF链接:
https://arxiv.org/pdf/709.3774