摘要翻译:
我们重新讨论了粘粒沙堆模型的临界性质是否属于有向渗流普适类的问题。我们先前的理论观点得到了数值模拟[Phys.Rev.Lett.,{\bf 89}(2002)104303]的支持,但遭到Bonachela等人的质疑。[Phys.Rev.E{\BF 74}(2004)050102]用于无首选方向的沙堆。我们讨论了差异的可能原因。我们对一维无向模型的长时间模拟的新结果完全支持我们先前的结论。
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英文标题:
《Critical Behavior of Sandpile Models with Sticky Grains》
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作者:
P. K. Mohanty and Deepak Dhar
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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:
We revisit the question whether the critical behavior of sandpile models with sticky grains is in the directed percolation universality class. Our earlier theoretical arguments in favor, supported by evidence from numerical simulations [ Phys. Rev. Lett., {\bf 89} (2002) 104303], have been disputed by Bonachela et al. [Phys. Rev. E {\bf 74} (2004) 050102] for sandpiles with no preferred direction. We discuss possible reasons for the discrepancy. Our new results of longer simulations of the one-dimensional undirected model fully support our earlier conclusions.
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PDF链接:
https://arxiv.org/pdf/704.2142