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The understanding of the fundamental properties of the climate system has long benefitted from the use of simple numerical models able to parsimoniously represent the essential ingredients of its processes. Here we introduce a new model for…

Chaotic Dynamics · Physics 2020-11-16 Gabriele Vissio , Valerio Lucarini

In drylands, water availability determines plant population densities and whether they cooperate via facilitation or compete. When water scarcity intensifies, plant densities decrease and competition for water surpasses the benefits of soil…

Dynamical Systems · Mathematics 2024-04-04 Leonardo Pereira Costa de Cruz , Joan Torregrossa , Miguel Berdugo , Josep Sardanyés

The hindered diffusion model is introduced. It is a continuum model giving the dynamics of a conserved density. Similar to the spin-facilitated models, the kinetics are hindered by a fluctuating diffusion coefficient that decreases as the…

Statistical Mechanics · Physics 2007-05-23 Gene F Mazenko

Utilizing a paradigmatic model for the motion of interacting self-propelled particles, we demonstrate that local accelerations at the level of individual particles can drive transitions between different collective dynamics, leading to a…

Soft Condensed Matter · Physics 2024-01-30 Everton S. Medeiros , Ulrike Feudel

In the presented work we study, by means of numerical simulations, the behaviour of a suspension of active ring polymers in the bulk and under lateral confinement. When changing the separation between the confining planes and the polymers'…

Soft Condensed Matter · Physics 2023-07-31 Juan Pablo Miranda-López , Emanuele Locatelli , Chantal Valeriani

Self-organized bistability (SOB) is the counterpart of 'self-organized criticality' (SOC), for systems tuning themselves to the edge of bistability of a discontinuous phase transition, rather than to the critical point of a continuous one.…

Statistical Mechanics · Physics 2020-03-20 Victor Buendía , Serena di Santo , Pablo Villegas , Raffaella Burioni , Miguel A. Muñoz

We investigate the behavior of a two-state sandpile model subjected to a confining potential in one and two dimensions. From the microdynamical description of this simple model with its intrinsic exclusion mechanism, it is possible to…

Statistical Mechanics · Physics 2015-06-19 R. S. Pires , A. A. Moreira , H. A. Carmona , J. S. Andrade

We introduce and study numerically a directed two-dimensional sandpile automaton with probabilistic toppling (probability parameter p) which provides a good laboratory to study both self-organized criticality and the far-from-equilibrium…

Condensed Matter · Physics 2009-10-28 S. Luebeck , B. Tadic , K. D. Usadel

We use cluster dynamical mean field theory to study the phase diagram of the square lattice bilayer Hubbard model with an interlayer interaction. The layers are populated by two-component fermions, and the densities in both layers and the…

We study the collective dynamics of a population of particles/organisms subject to self-consistent attraction-repulsion interactions and an external velocity field. The starting point of our analysis is a mean-field kinetic model and we…

Analysis of PDEs · Mathematics 2025-11-04 Thierry Goudon , Antoine Mellet

Controlling self-organizing systems is challenging because the system responds to the controller. Here we develop a model that captures the essential self-organizing mechanisms of Bak-Tang-Wiesenfeld (BTW) sandpiles on networks, a…

Statistical Mechanics · Physics 2013-08-13 Pierre-André Noël , Charles D. Brummitt , Raissa M. D'Souza

We introduce a model for self-organized dynamics which, we argue, addresses several drawbacks of the celebrated Cucker-Smale (C-S) model. The proposed model does not only take into account the distance between agents, but instead, the…

Analysis of PDEs · Mathematics 2015-05-27 Sebastien Motsch , Eitan Tadmor

Can the concept of self-organized criticality, exemplified by models such as the sandpile model, be described within the framework of continuous phase transitions? In this paper, we provide extensive numerical evidence supporting an…

Statistical Mechanics · Physics 2025-01-30 S. S. Manna

Atmospheric flows exhibit long-range spatiotemporal correlations manifested as the fractal geometry to the global cloud cover pattern concomitant with inverse power law form for power spectra of temporal fluctuations on all space-time…

chao-dyn · Physics 2009-10-31 A. M. Selvam , S. Fadnavis

We study properties of energy spreading in a lattice of elastically colliding harmonic oscillators (Ding-Dong model). We demonstrate that in the regular lattice the spreading from a localized initial state is mediated by compactons and…

Chaotic Dynamics · Physics 2012-06-27 S. Roy , A. Pikovsky

Species-rich ecosystems often exhibit multiple stable states with distinct species compositions. Yet, the factors determining the likelihood of each state's occurrence remain poorly understood. Here, we characterize and explain the…

Populations and Evolution · Quantitative Biology 2025-11-11 Nitesh Kumar Patro , Washington Taylor , Akshit Goyal

A simple lattice gas model in one dimension is constructed in which each site can be occupied by at most one particle of any one of $D$ species. Particles interact with a randomly drawn nearest neighbor interaction. This model is capable of…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. D. Jackson , T. Wettig , N. L. Balazs

Active systems across scales, ranging from molecular machines to human crowds, are usually modeled as assemblies of self-propelled particles driven by internally generated forces. However, these models often assume memoryless dynamics and…

Statistical Mechanics · Physics 2025-12-10 Marc Besse , Raphaël Voituriez

Ecological systems are complex dynamical systems. Modelling efforts on ecosystems' dynamical stability have revealed that population dynamics, being highly nonlinear, can be governed by complex fluctuations. Indeed, experimental and field…

Dynamical Systems · Mathematics 2020-02-19 Lluís Alsedà , José Tomás Lázaro , Ricard Solé , Blai Vidiella , Josep Sardanyés

The self-organization of microbial ecosystems involves a large variety of mechanisms, ranging from biochemical signaling to population dynamics. Among these, the role of motility regulation has been little studied, despite the importance of…

Statistical Mechanics · Physics 2025-03-18 Alberto Dinelli , Ada Altieri , Julien Tailleur