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We introduce and define three types of small worlds: small worlds based on the diameter of the network (SWD), those based on the average geodesic distance between nodes (SWA), and those based on the median geodesic distance (SWMd). These…

社会与信息网络 · 计算机科学 2024-02-19 Leo Egghe , Ronald Rousseau

Networks in nature are often formed within a spatial domain in a dynamical manner, gaining links and nodes as they develop over time. We propose a class of spatially-based growing network models and investigate the relationship between the…

物理与社会 · 物理学 2013-12-30 Ari Zitin , Alex Gorowora , Shane Squires , Mark Herrera , Thomas M. Antonsen , Michelle Girvan , Edward Ott

We describe opportunities and challenges with wireless robotic materials. Robotic materials are multi-functional composites that tightly integrate sensing, actuation, computation and communication to create smart composites that can sense…

机器人学 · 计算机科学 2017-08-17 Nikolaus Correll , Prabal Dutta , Richard Han , Kristofer Pister

Since its recent introduction, the small-world effect has been identified in several important real-world systems. Frequently, it is a consequence of the existence of a few long-range connections, which dominate the original regular…

物理与社会 · 物理学 2011-05-05 Matheus P. Viana , Luciano da F. Costa

In this study, the concept of small worlds is investigated in the context of large-scale wireless ad hoc and sensor networks. Wireless networks are spatial graphs that are usually much more clustered than random networks and have much…

网络与互联网体系结构 · 计算机科学 2016-08-31 Ahmed Helmy

We report on parallel observations in two seemingly unrelated areas of dynamical network research. The one is the so-called small world phenomenon and/or the observation of scale freeness in certain types of large (empirical) networks and…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Manfred Requardt

Small-world networks, i.e. networks displaying both a high clustering coefficient and a small characteristic path length, are obliquitous in nature. Since their identification, the "small-worldness" metric, as proposed by Humphries and…

物理与社会 · 物理学 2015-05-15 Massimiliano Zanin

We consider a problem of superconductivity coexistence with the spin-density-wave order in disordered multiband metals. It is assumed that random variations of the disorder potential on short length scales render the interactions between…

超导电性 · 物理学 2021-07-28 Maxim Dzero , Alex Levchenko

The small-world phenomenon has been already the subject of a huge variety of papers, showing its appeareance in a variety of systems. However, some big holes still remain to be filled, as the commonly adopted mathematical formulation…

统计力学 · 物理学 2009-11-07 Vito Latora , Massimo Marchiori

Small world models are networks consisting of many local links and fewer long range 'shortcuts', used to model networks with a high degree of local clustering but relatively small diameter. Here, we concern ourselves with the distribution…

凝聚态物理 · 物理学 2007-05-23 A. D. Barbour , G. Reinert

We introduce a minimal extended evolving model for small-world networks which is controlled by a parameter. In this model the network growth is determined by the attachment of new nodes to already existing nodes that are geographically…

统计力学 · 物理学 2007-05-23 Zhongzhi Zhang , Lili Rong , Francesc Comellas

Many geophysical processes can be modelled by using interconnected networks. The small-world network model has recently attracted much attention in physics and applied sciences. In this paper, we try to use and modify the small-world theory…

地球物理 · 物理学 2015-05-18 Xin-She Yang

The Ising model in small-world networks generated from two- and three-dimensional regular lattices has been studied. Monte Carlo simulations were carried out to characterize the ferromagnetic transition appearing in these systems. In the…

无序系统与神经网络 · 物理学 2009-11-07 Carlos P. Herrero

We wish to understand the macroscopic plastic behaviour of metals by upscaling the micro-mechanics of dislocations. We consider a highly simplified dislocation network, which allows our microscopic model to be a one dimensional particle…

数学物理 · 物理学 2019-02-20 P. van Meurs , A. Muntean , M. A. Peletier

In this Letter we investigate networks that have been optimized to realize a trade-off between enhanced synchronization and cost of wire to connect the nodes in space. Analyzing the evolved arrangement of nodes in space and their…

无序系统与神经网络 · 物理学 2015-05-19 M. Brede

Spatially embedded networks are shaped by a combination of purely topological (space-independent) and space-dependent formation rules. While it is quite easy to artificially generate networks where the relative importance of these two…

物理与社会 · 物理学 2013-09-10 Franco Ruzzenenti , Francesco Picciolo , Riccardo Basosi , Diego Garlaschelli

We show that the nonequilibrium dynamics of systems with many interacting elements located on a small-world network can be much slower than on regular networks. As an example, we study the phase ordering dynamics of the Ising model on a…

无序系统与神经网络 · 物理学 2009-11-07 Denis Boyer , Octavio Miramontes

Nanomagnets form the building blocks for a gamut of miniaturized energy-efficient devices including data storage, memory, wave-based computing, sensors and biomedical devices. They also offer a span of exotic phenomena and stern challenges.…

介观与纳米尺度物理 · 物理学 2020-12-02 Anjan Barman , Sucheta Mondal , Sourav Sahoo , Anulekha De

We consider recent reports on small-world topologies of interaction networks derived from the dynamics of spatially extended systems that are investigated in diverse scientific fields such as neurosciences, geophysics, or meteorology. With…

数据分析、统计与概率 · 物理学 2011-05-12 Stephan Bialonski , Marie-Therese Horstmann , Klaus Lehnertz

In this work we propose a network meta-architecture based on fundamental laws of physics and a physical model of computation. This meta-architecture may be used to frame discussions about novel network architectures as well as cross-layer…

网络与互联网体系结构 · 计算机科学 2008-08-19 Michael Neufeld , Craig Partridge