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When randomly displacing the nodes of a crystalline and unstressed spring network, we find that the Possion's ratio decreases with the increase of structural disorder and even becomes negative. Employing our finding that longer springs tend…

软凝聚态物质 · 物理学 2019-05-29 Jun Liu , Yunhuan Nie , Hua Tong , Ning Xu

A simple algorithm is proposed for studies of structural and elastic properties in the presence of structural disorder at zero temperature. The algorithm is used to determine the properties of the polydisperse soft disc system. It is shown…

计算物理 · 物理学 2015-04-30 Jakub Narojczyk , Krzysztof W. Wojciechowski

The transient network literature up to now has considered that the connection probability of a free strand does not depend on the strand extension, in contrast with the disconnection probability. We argue that, on thermodynamic grounds,…

材料科学 · 物理学 2007-05-23 J. -F. Palierne

We explore the range over which the elasticity of disordered spring networks can be manipulated by the removal of selected bonds. By taking into account the local response of a bond, we demonstrate that the effectiveness of pruning can be…

软凝聚态物质 · 物理学 2017-08-25 Daniel Hexner , Andrea J. Liu , Sidney R. Nagel

We prove that the general mean-field type networks at low load behave in accordance with the Poisson Hypothesis. That means that the network equilibrates in time independent of its size. This is a "high-temperature" counterpart of our…

数学物理 · 物理学 2008-11-24 Alexander Rybko , Senya Shlosman , Alexander Vladimirov

We study the elastic properties of phantom networks of Gaussian and nearly-Gaussian springs. We show that the stress tensor of a Gaussian network coincides with the conductivity tensor of an equivalent resistor network, while its elastic…

统计力学 · 物理学 2009-10-31 Oded Farago , Yacov Kantor

We consider the point process of signal strengths emitted from transmitters in a wireless network and observed at a fixed position. In our model, transmitters are placed deterministically or randomly according to a hard core or Poisson…

网络与互联网体系结构 · 计算机科学 2016-10-04 Nathan Ross , Dominic Schuhmacher

Filamentous polymer networks govern the mechanical properties of many biological materials. Force distributions within these networks are typically highly inhomogeneous and, although the importance of force distributions for structural…

We study the distribution of the resistance fluctuations of biased resistor networks in nonequilibrium steady states. The stationary conditions arise from the competition between two stochastic and biased processes of breaking and recovery…

统计力学 · 物理学 2011-02-17 C. Pennetta , E. Alfinito , L. Reggiani , S. Ruffo

We study an inhomogeneous random connection model in the connectivity regime. The vertex set of the graph is a homogeneous Poisson point process $\mathcal{P}_s$ of intensity $s>0$ on the unit cube…

概率论 · 数学 2021-06-23 Srikanth K. Iyer , Sanjoy Kr. Jhawar

Disordered spring networks are a useful paradigm to examine macroscopic mechanical properties of amorphous materials. Here, we study the elastic behavior of under-constrained spring networks, i.e.\ networks with more degrees of freedom than…

软凝聚态物质 · 物理学 2023-01-18 Cheng-Tai Lee , Matthias Merkel

We present analytical results for the structural evolution of random networks undergoing contraction processes via generic node deletion scenarios, namely, random deletion, preferential deletion and propagating deletion. Focusing on…

物理与社会 · 物理学 2020-09-10 I. Tishby , O. Biham , E. Katzav

Consider a network where all nodes are distributed on a unit square following a Poisson distribution with known density $\rho$ and a pair of nodes separated by an Euclidean distance $x$ are directly connected with probability…

网络与互联网体系结构 · 计算机科学 2010-12-30 Guoqiang Mao , Brian DO Anderson

We present exact analysis of the physical properties of bimodal networks specified by the two peak degree distribution fully incorporating the degree-degree correlation between node connection. The structure of the correlated bimodal…

物理与社会 · 物理学 2016-08-24 Shogo Mizutaka , Toshihiro Tanizawa

We perform a detailed analysis of the statistical properties of Poisson networks and show that the metric and topological properties of random cellular structures, can not be derived from simple models of random networks based on a poisson…

凝聚态物理 · 物理学 2012-03-22 V. Karimipour , Kh. Saaidi

We show that under tension, a classical many-body system with only isotropic pair interactions in a crystalline state can, counterintutively, have a negative Poisson's ratio, or auxetic behavior. We derive the conditions under which the…

材料科学 · 物理学 2009-11-13 Mikael C. Rechtsman , Frank H. Stillinger , Salvatore Torquato

Stretching an elastic material along one axis typically induces contraction along the transverse axes, a phenomenon known as the Poisson effect. From these strains, one can compute the specific volume, which generally either increases or,…

软凝聚态物质 · 物理学 2024-07-31 Jordan L. Shivers , Fred C. MacKintosh

Among the different models of networks usually considered, the hexagonal network model is the most popular. However, it requires extensive numerical computations. The Poisson network model, for which the base stations (BS) locations form a…

信息论 · 计算机科学 2014-01-27 Jean-Marc Kelif , Stephane Senecal , Constant Bridon , Marceau Coupechoux

Scale-free networks are a recently developed approach to model the interactions found in complex natural and man-made systems. Such networks exhibit a power-law distribution of node link (degree) frequencies n(k) in which a small number of…

无序系统与神经网络 · 物理学 2015-06-25 M. A. Sumour , A. H. El-Astal , F. W. S. Lima , M. M. Shabat , H. M. Khalil

We analyze the mixing properties of growing networks and find that, in some cases, the assortativity patterns are reversed once links' direction is considered: the disassortative behavior observed in such networks is a spurious effect, and…

统计力学 · 物理学 2009-11-11 Andrea Capocci , Francesca Colaiori
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