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Many real-world networks have properties of small-world networks, with clustered local neighborhoods and low average-shortest path (ASP). They may also show a scale-free degree distribution, which can be generated by growth and preferential…

统计力学 · 物理学 2007-05-23 Marcus Kaiser , Claus C. Hilgetag

Markopoulou and Smolin have argued that the low energy limit of LQG may suffer from a conflict between locality, as defined by the connectivity of spin networks, and an averaged notion of locality that emerges at low energy from a…

高能物理 - 理论 · 物理学 2007-05-23 Yidun Wan

We analyze the effect of microscopic disorder on the macroscopic properties of composite metamaterials and study how weak statistically independent fluctuations of the parameters of structure elements can modify their collective magnetic…

无序系统与神经网络 · 物理学 2007-05-23 Maxim Gorkunov , Sergey A. Gredeskul , Ilya V. Shadrivov , Yuri S. Kivshar

It has been claimed that quasistatic granular materials, as well as nanoscale materials, exhibit departures from elasticity even at small loadings. It is demonstrated, using 2D and 3D models with interparticle harmonic interactions, that…

统计力学 · 物理学 2007-05-23 C. Goldenberg , I. Goldhirsch

It has long been expected that the 3d Ising model can be thought of as a string theory, where one interprets the domain walls that separate up spins from down spins as two-dimensional string worldsheets. The usual Ising Hamiltonian measures…

高能物理 - 理论 · 物理学 2020-08-19 Nabil Iqbal , John McGreevy

Nanomaterials, in addition to their small size, possess unique physicochemical properties that differ from the bulk materials, making them ideal for a host of novel applications. Magnetic nanoparticle (MNP) is one important class of…

应用物理 · 物理学 2019-10-08 Kai Wu , Diqing Su , Jinming Liu , Renata Saha , Jian-Ping Wang

In an attempt to merge the microscopic with the macroscopic worlds, we present a brief study about a force which depends on the Planck force and on the coupling constant that in turn depends on the size of a particle in a particular…

综合物理 · 物理学 2010-08-25 Balungi Francis

Composite wires with a three-layered structure are known to show a particularly large magnetoimpedance effect. The wires consist of a highly conductive core, an insulating layer and an outer ferromagnetic shell. In order to understand the…

材料科学 · 物理学 2013-01-21 Ralf Betzholz , Haibin Gao , Zhenjie Zhao , Uwe Hartmann

Dimensionality is one of the most important properties of complex physical systems. However, only recently this concept has been considered in the context of complex networks. In this paper we further develop the previously introduced…

物理与社会 · 物理学 2013-08-19 Filipi Nascimento Silva , Luciano da Fontoura Costa

The spectral properties of the Laplacian operator on ``small-world'' lattices, that is mixtures of unidimensional chains and random graphs structures are investigated numerically and analytically. A transfer matrix formalism including a…

无序系统与神经网络 · 物理学 2009-10-31 Remi Monasson

Thermodynamic and magnetic properties of Ising models defined on the triangular Apollonian network are investigated. This and other similar networks are inspired by the problem of covering an Euclidian domain with circles of maximal radii.…

统计力学 · 物理学 2009-11-10 Roberto F. S. Andrade , Hans J. Herrmann

Networks with nodes embedded in a metric space have gained increasing interest in recent years. The effects of spatial embedding on the networks' structural characteristics, however, are rarely taken into account when studying their…

物理与社会 · 物理学 2016-07-06 Marc Wiedermann , Jonathan F. Donges , Jürgen Kurths , Reik V. Donner

A fundamental problem in the study of complex networks is to provide quantitative measures of correlation and information flow between different parts of a system. To this end, several notions of communicability have been introduced and…

物理与社会 · 物理学 2015-04-08 Ernesto Estrada , Naomichi Hatano , Michele Benzi

We study the time evolution of the two-dimensional kinetic Ising model in finite systems with a non-conserved order parameter, considering nearest-neighbour interactions on the square lattice with periodic and open boundary conditions.…

统计力学 · 物理学 2019-03-15 James Denholm , Ben Hourahine

For thin networked materials, which are spatial discrete structures constructed by continuum components, a paradox on the effective thickness defined by the in-plane and out-of-plane stiffnesses is found, i.e. the effective thickness is not…

应用物理 · 物理学 2021-06-30 Fei Pan , Feng Zhang , Yuli Chen , Zhi Liu , Xiaoling Zheng , Bin Liu

We calculate equilibrium solutions for Ising spin models on `small world' lattices, which are constructed by super-imposing random and sparse Poissonian graphs with finite average connectivity c onto a one-dimensional ring. The nearest…

无序系统与神经网络 · 物理学 2009-11-10 T. Nikoletopoulos , A. C. C. Coolen , I. Perez-Castillo , N. S. Skantzos , J. P. L. Hatchett , B. Wemmenhove

We use the recently introduced small-world networks (SWN) to model cross-linked polymers, as an extension of the linear Rouse-chain. We study the SWN-dynamics under the influence of external forces. Our focus is on the structurally and…

统计力学 · 物理学 2009-10-31 S. Jespersen , I. M. Sokolov , A. Blumen

Using a simulated annealing, we examine a bipartitioning of small worlds obtained by adding a fraction of randomly chosen links to a one-dimensional chain or a square lattice. Models defined on small worlds typically exhibit a mean-field…

统计力学 · 物理学 2020-11-20 Adam Lipowski , Antonio L. Ferreira , Dorota Lipowska

Metamaterials are constructed such that, for a narrow range of frequencies, the momentum density depends on the local displacement gradient, and the stress depends on the local velocity. In these models the momentum density generally…

数学物理 · 物理学 2009-11-13 Graeme W. Milton

Starting from a two-dimensional theory of magneto-elasticity for fiber-reinforced magnetic elastomers we carry out a rigorous dimension reduction to derive a rod model that describes a thin magneto-elastic strip undergoing planar…

软凝聚态物质 · 物理学 2021-08-17 Jacopo Ciambella , Martin Kružík , Giuseppe Tomassetti