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Methods for determining the percolation threshold usually study the behavior of network ensembles and are often restricted to a particular type of probabilistic node/link removal strategy. We propose a network-specific method to determine…

无序系统与神经网络 · 物理学 2015-05-30 Dane Taylor , Juan G. Restrepo

we study the statistical properties of inhomogenous Poisson networks. we perform a detailed analysis of the statistical properties of Poisson networks and show that the topological properties of random cellular structures, can be derived…

统计力学 · 物理学 2007-05-23 Kh. Saaidi , M. R. Setare

Experimentally an asymmetry of the reversal modes has been found in certain exchange bias systems. From a numerical investigation of the domain state model evidence is gained that this effect depends on the angle between the easy axis of…

凝聚态物理 · 物理学 2009-11-10 B. Beckmann , U. Nowak , K. D. Usadel

In order to investigate the role of the weight in weighted networks, the collective behavior of the Ising system on weighted regular networks is studied by numerical simulation. In our model, the coupling strength between spins is inversely…

统计力学 · 物理学 2013-10-01 Menghui Li , Ying Fan , Jinshan Wu , Zengru Di

Reaction networks are commonly used within the mathematical biology and mathematical chemistry communities to model the dynamics of interacting species. These models differ from the typical graphs found in random graph theory since their…

概率论 · 数学 2021-06-23 David F. Anderson , Tung D. Nguyen

The reliability of a network is an important parameter to consider when building a network. Different characteristics of the network can become unreliable over time or from other outside forces. In a simple setting, we model a network as a…

组合数学 · 数学 2021-07-26 Ashley Armbruster , Jieqi Di , Nicholas Hanson , Nathan Shank

The stretching response of polymer chains fundamentally determines the mechanical properties of polymer networks. In this Letter, we develop a statistical mechanics model that incorporates both bond stretching and bond angle deformation,…

软凝聚态物质 · 物理学 2025-06-02 Jie Zhu , Laurence Brassart

Geometric and structural constraints greatly restrict the selection of folds adapted by protein backbones, and yet, folded proteins show an astounding diversity in functionality. For structure to have any bearing on function, it is thus…

生物物理 · 物理学 2010-04-20 Brinda K. V. , Saraswathi Vishveshwara , Smitha Vishveshwara

We present a probabilistic model for learning from dynamic relational data, wherein the observed interactions among networked nodes are modeled via the Bernoulli Poisson link function, and the underlying network structure are characterized…

社会与信息网络 · 计算机科学 2018-05-29 Sikun Yang , Heinz Koeppl

Recently, a novel model to describe ordering in systems comprising agents which, although matching in their binarity (i.e., maintaining the iconic Ising features of ``+'' or ``-'', ``up'' or ``down'', ``yes'' or ``no''), still differing in…

统计力学 · 物理学 2024-09-25 M. Krasnytska

Cross-flow turbines convert kinetic power in wind or water currents to mechanical power. Unlike axial-flow turbines, the influence of geometric parameters on turbine performance is not well-understood, in part because there are neither…

流体动力学 · 物理学 2021-04-16 Aidan Hunt , Carl Stringer , Brian Polagye

The "power of choice" has been shown to radically alter the behavior of a number of randomized algorithms. Here we explore the effects of choice on models of tree and network growth. In our models each new node has k randomly chosen…

统计力学 · 物理学 2009-11-13 Raissa M. D'Souza , Paul L. Krapivsky , Cristopher Moore

We analyze protein-protein interaction networks for six different species under the framework of random matrix theory. Nearest neighbor spacing distribution of the eigenvalues of adjacency matrices of the largest connected part of these…

分子网络 · 定量生物学 2014-05-20 Ankit Agrawal , Camellia Sarkar , Sanjiv K. Dwivedi , Nitesh Dhasmana , Sarika Jalan

Negative dependence of sequences of random variables is often an interesting characteristic of their distribution, as well as a useful tool for studying various asymptotic results, including central limit theorems, Poisson approximations,…

概率论 · 数学 2022-08-26 Yaakov Malinovsky , Yosef Rinott

The relation between network structure and dynamics is determinant for the behavior of complex systems in numerous domains. An important long-standing problem concerns the properties of the networks that optimize the dynamics with respect…

适应与自组织系统 · 物理学 2017-12-07 Takashi Nishikawa , Jie Sun , Adilson E. Motter

The elastic response of mechanical, chemical, and biological systems is often modeled using a discrete arrangement of Hookean springs, either representing finite material elements or even the molecular bonds of a system. However, to date,…

软凝聚态物质 · 物理学 2026-03-03 Doron Grossman , Arezki Boudaoud

We consider stochastic cellular networks where base stations locations form a homogenous Poisson point process and each mobile is attached to the base station that provides the best mean signal power. The mobile is in outage if the SINR…

概率论 · 数学 2010-09-03 Laurent Decreusefond , Philippe Martins , Than-Tung Vu

In a highly influential paper twenty years ago, Barab\'asi and Albert [Science 286, 509 (1999)] showed that networks undergoing generic growth processes with preferential attachment evolve towards scale-free structures. In any finite…

物理与社会 · 物理学 2020-09-08 Ido Tishby , Ofer Biham , Eytan Katzav

In this work we discuss the symmetric construction of bosonic and fermionic networks and we present a case of a network showing a mixed quantum statistics. This model takes into account the different nature of nodes, described by a random…

统计力学 · 物理学 2009-11-07 Ginestra Bianconi

We discuss the threshold activated extremal dynamics that is prevalent in the breakdown processes in heterogeneous materials. We model such systems by an elastic spring network with random breaking thresholds assigned to the springs.…

统计力学 · 物理学 2007-05-23 Purusattam Ray