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Traffic dynamics is universally crucial in analyzing and designing almost any network. This article introduces a novel theoretical approach to analyzing network traffic dynamics. This theory's machinery is based on the notion of traffic…

多智能体系统 · 计算机科学 2024-04-05 Matin Macktoobian , Zhan Shu , Qing Zhao

Evaluating the channel capacity is one of many key problems in information theory. In this work we derive rather-mild sufficient conditions under which the capacity is finite and achievable. These conditions are derived for generic,…

信息论 · 计算机科学 2015-12-18 Jihad Fahs , Ibrahim Abou-Faycal

Among all characteristics exhibited by natural and man-made networks the small-world phenomenon is surely the most relevant and popular. But despite its significance, a reliable and comparable quantification of the question `how small is a…

物理与社会 · 物理学 2019-11-27 Gorka Zamora-López , Romain Brasselet

Adaptive transport networks in biological and physical systems exhibit hierarchical organization, characteristic channel spacing, and robust scaling relations. Existing adaptive network models, formulated on a lattice, successfully…

适应与自组织系统 · 物理学 2026-05-18 Sidney Holden , Mia C. Morrell , Geoffrey Vasil , Eleni Katifori

The recent discovery of universal principles underlying many complex networks occurring across a wide range of length scales in the biological world has spurred physicists in trying to understand such features using techniques from…

生物物理 · 物理学 2015-05-13 Sitabhra Sinha

Films composed of nanotube networks have their conductivities regulated by the junction resistances formed between tubes. Conductivity values are enhanced by lower junction resistances but should reach a maximum that is limited by the…

介观与纳米尺度物理 · 物理学 2009-09-23 Luiz F. C. Pereira , C. G. Rocha , A. Latgé , J. N. Coleman , M. S. Ferreira

This work is concerned with the intricate interplay between node or pore pressures and connection or throat conductivities in flow or pore networks. A setting similar to pore networks is given by fracture networks. Recently, a non-local…

流体动力学 · 物理学 2019-07-30 Daniel W. Meyer , Artur Gomolinski

Network optimization has generally been focused on solving network flow problems, but recently there have been investigations into optimizing network characteristics. Optimizing network connectivity to maximize the number of nodes within a…

物理与社会 · 物理学 2020-08-03 Jeremy Auerbach , Hyun Kim

We define a minimal model of traffic flows in complex networks containing the most relevant features of real routing schemes, i.e. a trade--off strategy between topological-based and traffic-based routing. The resulting collective behavior,…

物理与社会 · 物理学 2009-11-13 Daniele De Martino , Luca Dall'Asta , Ginestra Bianconi , Matteo Marsili

We consider two variational models for transport networks, an urban planning and a branched transport model, in which the degree of network complexity and ramification is governed by a small parameter $\varepsilon>0$. Smaller $\varepsilon$…

经典分析与常微分方程 · 数学 2017-11-16 Alessio Brancolini , Benedikt Wirth

Coherent transport promises to be the basis for an emerging new technology. Notwithstanding, a mechanistic understanding of the fundamental principles behind optimal scattering media is still missing. Here, complex network analysis is…

量子物理 · 物理学 2013-12-09 Stefano Mostarda , Federico Levi , Diego Prada-Gracia , Florian Mintert , Francesco Rao

We apply statistical physics to study the task of resource allocation in random sparse networks with limited bandwidths for the transportation of resources along the links. Useful algorithms are obtained from recursive relations.…

物理与社会 · 物理学 2009-11-13 C. H. Yeung , K. Y. Michael Wong

We present a study of the application of a variant of a recently introduced heuristic algorithm for the optimization of transport routes on complex networks to the problem of finding the optimal routes of communication between nodes on…

物理与社会 · 物理学 2009-11-13 Yong Yu , Bogdan Danila , John A. Marsh , Kevin E. Bassler

We study navigation with limited information in networks and demonstrate that many real-world networks have a structure which can be described as favoring communication at short distance at the cost of constraining communication at long…

无序系统与神经网络 · 物理学 2007-05-23 M. Rosvall , P. Minnhagen , K. Sneppen

Among the several topological properties of complex networks, the shortest path represents a particularly important characteristic because of its potential impact not only on other topological properties, but mainly for its influence on…

社会与信息网络 · 计算机科学 2020-03-30 Guilherme S. Domingues , Cesar H. Comin , Luciano da F. Costa

Transport of molecules across membrane channels is investigated theoretically using exactly solvable discrete stochastic site-binding models. It is shown that the interaction potential between molecules and the channel has a strong effect…

软凝聚态物质 · 物理学 2009-11-11 Anatoly B. Kolomeisky

As the discovery of non-Poissonian statistics of human mobility trajectories, more attention has been paid to understanding the role of these patterns in different dynamics. In this study, we first introduce the heterogeneous mobility of…

物理与社会 · 物理学 2015-06-12 Yu Gan , Ming Tang , Han-Xin Yang

In potential flow networks, the equilibrium flow rates are usually not proportional to the demands and flow control elements are required to regulate the flow. The control elements can broadly be classified into two types - discrete and…

系统与控制 · 电气工程与系统科学 2023-10-18 Varghese Kurian , Sridharakumar Narasimhan

We develop a new metric for quantifying end-to-end throughput in multihop wireless networks, which we term random access transport capacity, since the interference model presumes uncoordinated transmissions. The metric quantifies the…

信息论 · 计算机科学 2016-11-18 Jeffrey G. Andrews , Steven Weber , Marios Kountouris , Martin Haenggi

Complex network theory is being widely used to study many real-life systems. One of the fields that can benefit from complex network theory approach is transportation network. In this paper, we briefly review the complex network theory…

物理与社会 · 物理学 2023-08-10 Nur Umaisara Rashid , Kar Tim Chan