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We provide a numerical study of the macroscopic model of [3] derived from an agent-based model for a system of particles interacting through a dynamical network of links. Assuming that the network remodelling process is very fast, the…

The theory of complex networks and of disordered systems is used to study the stability and dynamical properties of a simple model of material flow networks defined on random graphs. In particular we address instabilities that are…

Disordered Systems and Neural Networks · Physics 2009-11-13 Kartik Anand , Tobias Galla

Latent variable models for network data extract a summary of the relational structure underlying an observed network. The simplest possible models subdivide nodes of the network into clusters; the probability of a link between any two nodes…

Machine Learning · Computer Science 2012-07-03 Konstantina Palla , David Knowles , Zoubin Ghahramani

In the evolving digital landscape, network flow models have transcended traditional applications to become integral in diverse sectors, including supply chain management. This research develops a robust network flow model for semiconductor…

Optimization and Control · Mathematics 2026-03-05 Yichen Wang , Huanbo Zhang , Chunhong Yuan , Xiangyu Li , Zuowen Jiang

We describe a phase transition that gives rise to structurally non-trivial states in a two-dimensional ordered network of particles connected by harmonic bonds. Monte Carlo simulations reveal that the network supports, apart from the…

Soft Condensed Matter · Physics 2017-04-05 Saswati Ganguly , Jürgen Horbach , Peter Sollich , Parswa Nath , Smarajit Karmakar , Surajit Sengupta

Diffusion dynamics in multiplex networks can model a diverse number of real-world processes. In some specific configurations of these systems, the super-diffusion phenomenon arises, in which the diffusion is faster in the multiplex network…

Physics and Society · Physics 2024-12-05 Lluís Torres-Hugas , Jordi Duch , Sergio Gómez

Diverse implicit structures of fluids are discovered lately, providing opportunities to study the physics of fluids applying network analysis. Although considerable works devote to identifying informative network structures of fluids, we…

Fluid Dynamics · Physics 2024-08-26 Yang Tian , Pei Sun , Yizhou Xu

Large scale neural recordings have established that the transformation of sensory stimuli into motor outputs relies on low-dimensional dynamics at the population level, while individual neurons exhibit complex selectivity. Understanding how…

Neurons and Cognition · Quantitative Biology 2018-08-29 Francesca Mastrogiuseppe , Srdjan Ostojic

Empirical complex systems must differentially respond to external perturbations and, at the same time, internally distribute information to coordinate their components. While networked backbones help with the latter, they limit the…

Physics and Society · Physics 2025-04-18 Arsham Ghavasieh , Manlio De Domenico

Many physical problems involving heterogeneous spatial scales, such as the flow through fractured porous media, the study of fiber-reinforced materials, or the modeling of the small circulation in living tissues -- just to mention a few…

Numerical Analysis · Mathematics 2024-01-02 Luca Heltai , Paolo Zunino

The formation of three-dimensional prismatic cracks in the drying process of starch-water mixtures is investigated numerically. We assume that the mixture is an elastic porous medium which possesses a stress field and a water content field.…

Soft Condensed Matter · Physics 2009-11-13 Akihiro Nishimoto , Tsuyoshi Mizuguchi , So Kitsunezaki

Characterizing the emergence of chaotic dynamics of complex networks is an essential task in nonlinear science with potential important applications in many fields such as neural control engineering, microgrid technologies, and ecological…

Adaptation and Self-Organizing Systems · Physics 2024-04-29 Ricardo Chacón , Pedro J. Martínez

Flow through passive porous media is typically described in terms of a linear theory relating current fluxes and driving forces, in the presence of a prescribed heterogeneous permeability. However, many porous systems such as glacial…

Statistical Mechanics · Physics 2015-04-08 Samuel A. Ocko , L. Mahadevan

Precipitation is one of the most important meteorological variables for defining the climate dynamics, but the spatial patterns of precipitation have not been fully investigated yet. The complex network theory, which provides a robust tool…

Atmospheric and Oceanic Physics · Physics 2013-08-22 Stefania Scarsoglio , Francesco Laio , Luca Ridolfi

Complex systems are ubiquitous in nature and engineering, but their analysis and control are hampered by their high dimensionality and the influence of various factors on their dynamics. Dimensionality reduction aims to find a…

Dynamical Systems · Mathematics 2023-05-08 Chengyi Tu , Jianhong Luo , Xuwei Pan

Network representations are useful for describing the structure of a large variety of complex systems. Although most studies of real-world networks suppose that nodes are connected by only a single type of edge, most natural and engineered…

Physics and Society · Physics 2020-08-05 Rubén J. Sánchez-García , Emanuele Cozzo , Yamir Moreno

Networks are ubiquitous throughout science and engineering. A number of methods, including some from our own group, have explored how one goes about computing or predicting the dynamics of networks given information about internal models of…

Molecular Networks · Quantitative Biology 2017-11-06 Gabriel A. Silva

Stably stratified fluids subject to sustained forcing are known to develop step-like density "staircases", where nearly homogeneous layers alternate with thin interfaces of strong stratification. However, long-time numerical investigations…

Fluid Dynamics · Physics 2025-12-10 Niccolo Cocciaglia , Fabio Bonaccorso , Alessandra Sabina Lanotte , Luca Biferale

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…

Adaptation and Self-Organizing Systems · Physics 2026-05-18 Sidney Holden , Mia C. Morrell , Geoffrey Vasil , Eleni Katifori

Phase separation within polymer networks plays a central role in shaping the structure and mechanics of both synthetic materials and living cells, including the formation of biomolecular condensates within cytoskeletal networks. Previous…

Soft Condensed Matter · Physics 2025-12-01 Takahiro Yokoyama , Yicheng Qiang , David Zwicker , Arash Nikoubashman