Julia sets and complex singularities in diamond-like hierarchical Potts models

来源 :中国科学A辑（英文版） | 被引量 : 0次 | 上传用户：liubo200987

【摘要】

：

We study the phase transition of the Potts model on diamond-like hierarchical lattices. It is shown that the set of the complex singularities is the Julia set o

【作者】

：

QIAO Jianyong

【机构】

：

CenterofMathematics

【出处】

：

中国科学A辑（英文版）

【发表日期】

：

2005年3期

【关键词】

：

Julia set phase transition iteration rationalmapping

【基金项目】

：

国家重点基础研究发展计划(973计划)

下载到本地 , 更方便阅读

下载此文赞助VIP

声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架

论文部分内容阅读

We study the phase transition of the Potts model on diamond-like hierarchical lattices. It is shown that the set of the complex singularities is the Julia set of a rational mapping. An interesting problem is how are these singularities continued to the co

其他文献

Excitonic Doppler-Rabi Oscillations in a Moving Organic Slab

It is theoretically shown that excitonic Doppler-Rabi oscillations can occur in an organic slab moving along the axis of a high-Q cavity. Due to the √N enhance

期刊

Doppler-Rabi oscillationsexcitonorganic slab

Upper bound of the third edge-connectivity of graphs

Let G be a simple connected graph of order n ≥ 6. The third edge-connectivity of G is defined as the minimum cardinality over all the sets of edges, if any, wh

期刊

third edge-connectivityupper bound

Improvement and Parallelism of k-Means Clustering Algorithm

The k-means clustering algorithm is one of the most commonly used algorithms for clustering analysis. The traditional k-means algorithm is, however, inefficient

期刊

data miningcluster analysisk-means algorithmparallelism

Algorithms for single machine scheduling with availability constraints

It is a NP-hard problem to schedule a list of nonresumable jobs to the available intervals of an availability-constrained single machine to minimize the schedul

期刊

Single machine schedulingavailability constraintsvariable-sized bin packingal

Relationship between the Composition of Polymer of n-Alkyl Substituted Acrylate and Vinyl Amine and

Polymer of n-alkyl substituted acrylate (PA) with the alkyl side chains C16- 30 were synthesized.Their crystallinity, solubility and effect on pour point depres

期刊

polyacrylatesmolecular weight distributionpour point depression

Glow Discharge Induced Hydroxyl Radical Degradation of 2-Naphthylamine

In an aqueous solution, normal electrolysis at high voltages switches over sponta-neously to glow discharge electrolysis and gives rise to hydroxyl radical, hyd

期刊

glow discharge electrolysishydroxyl radicals2-naphthylaminedegradation

A neurofuzzy system based on rough set theory and genetic algorithm

This paper presents a hybrid soft computing modeling approach for a rough set theory and the genetic algorithms (NFRSGA). The fundamental problem of a neurofuzz

期刊

soft computingneurofuzzy systemrough setgenetic algorithm

VARIATIONAL ITERATION SOLVING METHOD FOR SEA-AIR OSCILLATOR MODEL OF INTERDECADAL CLIMATE FLUCTUATIO

Atmospheric physics is a very complicated natural phenomenon and needs to simplify its basic models for the sea-air oscillator. And it is solved by using the ap

期刊

nonlinearvariational iterationEl Nino-Southern Oscillator model

Stability analysis of solutions to nonlinear stiff Volterra functional differential equations in Ban

A series of stability, contractivity and asymptotic stability results of the solutions to nonlinear stiff Volterra functional differential equations (VFDEs) in

期刊

nonlinear stiff problemsfunctional differential equationsstabilitycontractivi

Formation and migration of space charge packet in low density polyethylene

Pressure wave propagation (PWP) method was utilized to observe the space charges packet-like behavior in sheet samples of low-density polyethylene (LDPE) under

期刊

solid dielectriclow-density polyethylenespace charge packettrap

Julia sets and complex singularities in diamond-like hierarchical Potts models

与本文相关的学术论文