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2022-03-06
摘要翻译:
有向渗流普适性类的普适性是很好理解的,既有临界标度,也有有限尺寸标度。本文研究了线性尺寸l的系统中线性尺寸l的分块序参量的块(有限尺寸)标度及其涨落。标度取决于系综的选择,因为只有条件系综才产生平衡临界现象中所建立的块标度行为。对系综的依赖可以通过无条件系综中存在的附加对称性来理解。在无条件系综中发现的非常规标度提醒人们标度函数本身对它们的论据有幂律依赖性的可能性。
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英文标题:
《Block scaling in the directed percolation universality class》
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作者:
Gunnar Pruessner
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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 universal behaviour of the directed percolation universality class is well understood, both the critical scaling as well as finite size scaling. This article focuses on the block (finite size) scaling of the order parameter and its fluctuations, considering (sub-)blocks of linear size l in systems of linear size L. The scaling depends on the choice of the ensemble, as only the conditional ensemble produces the block-scaling behaviour as established in equilibrium critical phenomena. The dependence on the ensemble can be understood by an additional symmetry present in the unconditional ensemble. The unconventional scaling found in the unconditional ensemble is a reminder of the possibility that scaling functions themselves have a power-law dependence on their arguments.
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PDF链接:
https://arxiv.org/pdf/706.1144
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