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We proposed a deterministic multidimensional growth model for small-world networks. The model can characterize the distinguishing properties of many real-life networks with geometric space structure. Our results show the model possesses…

数据分析、统计与概率 · 物理学 2017-12-27 Aoyuan Peng , Lianming Zhang

It is nearly 20 years since the concept of a small-world network was first quantitatively defined, by a combination of high clustering and short path length; and about 10 years since this metric of complex network topology began to be…

神经元与认知 · 定量生物学 2016-08-22 Danielle S. Bassett , Edward T. Bullmore

This study presents the computational modeling and simulation of silver nanoparticle networks (NPNs), which, in the realm of neuromorphic computation, suggest to be a promising candidate for nontraditional computation methods. The modeling…

The emergence of detailed maps of physical networks, like the brain connectome, vascular networks, or composite networks in metamaterials, whose nodes and links are physical entities, have demonstrated the limits of the current network…

Recurrence networks are complex networks, constructed from time series data, having several practical applications. Though their properties when constructed with the threshold value \epsilon chosen at or just above the percolation threshold…

混沌动力学 · 物理学 2016-07-19 Rinku Jacob , K. P. Harikrishnan , R. Misra , G. Ambika

Above a certain density a granular material jams. This property can be controlled by either tuning a global property, such as the packing fraction or by applying shear strain, or at the micro-scale by tuning grain shape, inter-particle…

软凝聚态物质 · 物理学 2016-11-23 Meredith Cox , Dong Wang , Jonathan Barés , Robert P. Behringer

Flat bands - single-particle energy bands - in tight-binding networks have attracted attention due to the presence of macroscopic degeneracies and their extreme sensitivity to perturbations. This makes them natural candidates for emerging…

光学 · 物理学 2024-03-27 Carlo Danieli , Alexei Andreanov , Daniel Leykam , Sergej Flach

Characterization of real-world complex systems increasingly involves the study of their topological structure using graph theory. Among global network properties, small-world property, consisting in existence of relatively short paths…

社会与信息网络 · 计算机科学 2017-02-28 Jaroslav Hlinka , David Hartman , Milan Paluš

There is a recent upsurge of interests in flat bands in condensed-matter systems and the consequences for magnetism and superconductivity. This article highlights the physics, where peculiar quantum-mechanical mechanisms for the physical…

超导电性 · 物理学 2025-10-23 Hideo Aoki

Structural colours have drawn wide attention for their potential as a future printing technology for various applications, ranging from biomimetic tissues to adaptive camouflage materials. However, an efficient approach to realise robust…

Advances in scaling down heterostructures and having an improved interface quality together with atomically-thin two-dimensional materials suggest a novel approach to systematically design materials. A given material can be transformed…

材料科学 · 物理学 2018-05-22 Igor Zutic , Alex Matos-Abiague , Benedikt Scharf , Hanan Dery , Kirill Belashchenko

While classical spin systems in random networks have been intensively studied, much less is known about quantum magnets in random graphs. Here, we investigate interacting quantum spins on small-world networks, building on mean-field theory…

强关联电子 · 物理学 2021-05-17 Maxime Dupont , Nicolas Laflorencie

Many real-world networks are embedded into a space or spacetime. The embedding space(time) constrains the properties of these real-world networks. We use the scale-dependent spectral dimension as a tool to probe whether real-world networks…

无序系统与神经网络 · 物理学 2021-07-16 Astrid Eichhorn , Martin Pauly

Metric networks are network-shaped, one-dimensional structures on which one can solve differential equations to simulate a wide range of physical systems including conjugated molecules, photonic crystals, quantum mechanics in waveguide…

无序系统与神经网络 · 物理学 2026-02-27 Charles Emmett Maher , Jeremy L. Marzuola , Katherine A. Newhall

We study a material modeled as a network of nodes connected by edges. Using a discrete approach, we build a nonlinear algebraic system that connects applied forces to internal forces and node positions. The model can describe elasticity,…

最优化与控制 · 数学 2025-10-14 Ioannis Dassios

Future nano-scale electronics built up from an Avogadro number of components needs efficient, highly scalable, and robust means of communication in order to be competitive with traditional silicon approaches. In recent years, the…

硬件体系结构 · 计算机科学 2007-07-01 Christof Teuscher

We propose a simple growing model for the evolution of small-world networks. It is introduced as a modified BA model in which all the edges connected to the new nodes are made locally to the creator and its nearest neighbors. It is found…

数学物理 · 物理学 2009-11-13 Xinping Xu , Feng Liu , Wei Li

We explore the robustness of complex networks against physical damage. We focus on spatially embedded network models and datasets where links are physical objects or physically transfer some quantity, which can be disrupted at any point…

统计力学 · 物理学 2024-12-13 Luka Blagojević , Ivan Bonamassa , Márton Pósfai

We review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics. A number of giant…

统计力学 · 物理学 2015-06-24 S. N. Dorogovtsev , J. F. F. Mendes

Superconducting materials hold great potential to bring radical changes for electric power and high-field magnet technology , enabling high-efficiency electric power generation, high-capacity lossless electric power transmission, small…

超导电性 · 物理学 2021-06-08 Chao Yao , Yanwei Ma