摘要翻译:
研究了定义在Moore邻域上的确定性元胞自动机规则作为流行病传播模型。细胞间相互作用的直接性质允许我们引入对一个无序参数的依赖,该参数决定了“同相”细胞的比例。通过改变感染期和免疫期,相位紊乱在不同进化机制的动力学和统计特性上产生了特殊的变化。特别是,由相位无序引起的局部化效应可以阻止微扰的有限速度扩展,这也可能产生作为统计效应的感染传播的空间各向同性。类似地,随着相位无序度的增加,相位同步有序模式的结构迅速丢失,产生缺陷介导的湍流区。
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英文标题:
《Phase Disorder Effects in a Cellular Automaton Model of Epidemic
Propagation》
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作者:
M. Bezzi, R. Livi
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最新提交年份:
1998
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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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一级分类:Physics 物理学
二级分类:Other Condensed Matter 其他凝聚态物质
分类描述:Work in condensed matter that does not fit into the other cond-mat classifications
在不适合其他cond-mat分类的凝聚态物质中工作
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一级分类:Quantitative Biology 数量生物学
二级分类:Other Quantitative Biology 其他定量生物学
分类描述:Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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英文摘要:
A deterministic cellular automaton rule defined on the Moore neighbourhood is studied as a model of epidemic propagation. The directed nature of the interaction between cells allows one to introduce the dependence on a disorder parameter that determines the fraction of ``in-phase'' cells. Phase-disorder is shown to produce peculiar changes in the dynamical and statistical properties of the different evolution regimes obtained by varying the infection and the immunization periods. In particular, the finite-velocity spreading of perturbations, characterizing chaotic evolution, can be prevented by localization effects induced by phase-disorder, that may also yield spatial isotropy of the infection propagation as a statistical effect. Analogously, the structure of phase-synchronous ordered patterns is rapidly lost as soon as phase-disorder is increased, yielding a defect-mediated turbulent regime.
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PDF链接:
https://arxiv.org/pdf/cond-mat/9805044