Polymer growth in solution and the dynamic epidemic model: dimensionality and critical exponents

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	Polymer growth in solution and the dynamic epidemic model: dimensionality and critical exponents
	Z. D. Zhang; N. H. March
	2010
发表期刊	Physics and Chemistry of Liquids
ISSN	0031-9104
卷号	48 期号:3 页码:403-408
摘要	Recent interest in solutions of the static and dynamic epidemic models has led us to reconsider some features of the critical exponents of these models. In particular, our starting point is that the known values of such exponents take different values depending on dimensionality d, for dynamic epidemics, depending also on the looped nature of the chain, but the universality is regained for d 1. According to this superuniversality property for d 1, we could predict that the critical exponents and for dynamic epidemics on a square lattice should be 43/18 and 4/3, respectively. Furthermore, from numerical results in literature, we predict the critical exponents for the Potts model in three dimensions and the percolation exponents (q = 1) for d = 1, 2, 3, 4, 5 and d epsilon 6. Other areas of relevance beyond that in the title embrace conduction in heterogeneous media as well as a description of the spreading of a fluid in a medium possessing mobile impurities.
部门归属	[zhang, z. d.] chinese acad sci, inst met res, shenyang natl lab mat sci, shenyang 110016, peoples r china. [zhang, z. d.] chinese acad sci, int ctr mat phys, shenyang 110016, peoples r china. [march, n. h.] univ antwerp, dept phys, b-2020 antwerp, belgium. [march, n. h.] univ oxford, oxford, england.;zhang, zd (reprint author), chinese acad sci, inst met res, shenyang natl lab mat sci, 72 wenhua rd, shenyang 110016, peoples r china;zdzhang@imr.ac.cn
关键词	Polymer Growth Solutions Dynamic And Static Epidemics Critical Exponents State Potts-model Percolation Lattice Transition Chains Trees
URL	查看原文
WOS记录号	WOS:000278438700009
引用统计	被引频次：4[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/31734
专题	中国科学院金属研究所
推荐引用方式 GB/T 7714	Z. D. Zhang,N. H. March. Polymer growth in solution and the dynamic epidemic model: dimensionality and critical exponents[J]. Physics and Chemistry of Liquids,2010,48(3):403-408.
APA	Z. D. Zhang,&N. H. March.(2010).Polymer growth in solution and the dynamic epidemic model: dimensionality and critical exponents.Physics and Chemistry of Liquids,48(3),403-408.
MLA	Z. D. Zhang,et al."Polymer growth in solution and the dynamic epidemic model: dimensionality and critical exponents".Physics and Chemistry of Liquids 48.3(2010):403-408.