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It has previously been shown that the network of connected minima on a potential energy landscape is scale-free, and that this reflects a power-law distribution for the areas of the basins of attraction surrounding the minima. Here, we set…

统计力学 · 物理学 2007-09-19 Claire P. Massen , Jonathan P. K. Doye

We consider a model for the formation of a river network in which erosion process plays a role only at the initial stage. Once a global connectivity is achieved, no further evolution takes place. In spite of this, the network reproduces…

凝聚态物理 · 物理学 2009-10-28 S. S. Manna , B. Subramanian

Understanding the causes and effects of spatial vegetation patterns is a fundamental problem in ecology, especially because these can be used as early predictors of catastrophic shifts such as desertification processes. Empirical studies of…

统计力学 · 物理学 2020-06-19 Paula Villa Martín , Virginia Domínguez-García , Miguel A. Muñoz

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

We consider the logistic metapopulation model over a stream network and use the metapopulation growth rate and the total biomass (of the positive equilibrium) as metrics for different aspects of population persistence. Our objective is to…

In this paper, a simple transient Markov process with an absorbing point is used to investigate the qualitative behavior of a large scale storage network of non reliable file servers where files can be duplicated. When the size of the…

概率论 · 数学 2012-04-02 Mathieu Feuillet , Philippe Robert

The identification of regions of similar climatological behavior can be utilized for the discovery of spatial relationships over long-range scales, including teleconnections. In this regard, the global picture of the interdependence…

大气与海洋物理 · 物理学 2022-05-06 Zhen Su , Henning Meyerhenke , Jürgen Kurths

We propose a general scenario to analyze social and economic changes in modern environments. We illustrate the ideas with a model that incorporating the main trends is simple enough to extract analytical results and, at the same time,…

统计力学 · 物理学 2009-10-31 A. Arenas , A. Diaz-Guilera , C. J. Perez , F. Vega-Redondo

In many urban areas of the developing world, piped water is supplied only intermittently, as valves direct water to different parts of the water distribution system at different times. The flow is transient, and may transition between…

流体动力学 · 物理学 2016-04-26 Anna M. Lieb , Chris H. Rycroft , Jon Wilkening

Although standard economics textbooks are seldom interested in production networks, modern economies are more and more based upon suppliers/customers interactions. One can consider entire sectors of the economy as generalised supply chains.…

物理与社会 · 物理学 2008-12-02 Gerard Weisbuch , Stefano Battiston

A control scheme to reduce the size of avalanches of the Bak-Tang-Wiesenfeld model on complex networks is proposed. Three network types are considered: those proposed by Erd\H{o}s-Renyi, Goh-Kahng-Kim, and a real network representing the…

物理与社会 · 物理学 2015-06-16 Daniel O. Cajueiro , Roberto F. S. Andrade

Complex systems with nonreciprocal interactions are often stratified into layers. Ecosystems are a prime example, where species at one trophic level grow by consuming those at another. Yet the dynamical consequences of such stratified…

种群与进化 · 定量生物学 2026-01-21 Rukmani Ramachandran , Akshit Goyal

Reservoir computing has emerged as a powerful framework for time series modelling and forecasting including the prediction of discontinuous transitions. However, the mechanism behind its success is not yet fully understood. This letter…

混沌动力学 · 物理学 2025-10-16 Dishant Sisodia , Sarika Jalan

Sustainable resource use in large societies requires social institutions that specify acceptable behavior and punish violators. Because mutual monitoring becomes prohibitively costly as populations grow, we examine whether sustainability…

物理与社会 · 物理学 2025-07-31 Kenji Itao , Kunihiko Kaneko

The sun provides an explosive, heavenly example of self-organized criticality. Sudden bursts of intense radiation emanate from rapid rearrangements of the magnetic field network in the corona. Avalanches are triggered by loops of flux that…

统计力学 · 物理学 2009-11-10 Maya Paczuski , David Hughes

Preserving biodiversity and ecosystem stability is a challenge that can be pursued through modern statistical mechanics modeling. Here we introduce a variational maximum entropy-based algorithm to evaluate the entropy in a minimal ecosystem…

生物物理 · 物理学 2018-10-17 Mattia Miotto , Lorenzo Monacelli

Dry-land ecosystem has turned into a matter of grave concern, due to growing threat of land degradation and bioproductivity-loss. Self-organized vegetation patterns are a remarkable characteristic of these ecosystems; apart from being…

种群与进化 · 定量生物学 2022-09-27 Mrinal Kanti Pal , Swarup Poria

The current microscopic picture of plasticity in amorphous materials assumes local failure events to produce displacement fields complying with linear elasticity. Indeed, the flow properties of nonaffine systems such as foams, emulsions and…

软凝聚态物质 · 物理学 2013-11-07 Roberto Arévalo , Massimo Pica Ciamarra

We present generic scaling laws relating spreading critical exponents and avalanche exponents (in the sense of self-organized criticality) in general systems with absorbing states. Using these scaling laws we present a collection of the…

统计力学 · 物理学 2009-10-31 Miguel A. Munoz , Ronald Dickman , Alessandro Vespignani , Stefano Zapperi

We analyze numerically three different models exhibiting an absorbing phase transition. We focus on the finite-size scaling as well as the dynamical scaling behavior. An accurate determination of several critical exponents allows to…

统计力学 · 物理学 2009-11-10 S. Lubeck , P. C. Heger