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We study the synchronization of coupled maps on a variety of networks including regular one and two dimensional networks, scale free networks, small world networks, tree networks, and random networks. For small coupling strengths nodes show…

Chaotic Dynamics · Physics 2009-11-10 Sarika Jalan , R. E. Amritkar

Both ordered and disordered microphases ubiquitously form in suspensions of particles that interact through competing short-range attraction and long-range repulsion (SALR). While ordered microphases are more appealing materials targets,…

Soft Condensed Matter · Physics 2022-05-03 Yi Hu , Patrick Charbonneau

We present a numerical simulation of a granular material using hydrodynamic equations. We show that, in the absence of external forces, such a system phase-separates into high density and low density regions. We show that this separation is…

Soft Condensed Matter · Physics 2009-11-07 Scott A. Hill , Gene F. Mazenko

Mutually repelling particles form spontaneously ordered clusters when forced into confinement. The clusters may adopt similar spatial arrangements even if the underlying particle interactions are contrastingly different. Here we demonstrate…

Soft Condensed Matter · Physics 2026-02-13 P. D. S. de Lima , R. De La Cour , K. Gaff , J. M. de Araújo , S. J. Cox , M. S. Ferreira , S. Hutzler

We study the collective behaviour of an ensemble of coupled motile elements whose interactions depend on time and are alternatively attractive or repulsive. The evolution of interactions is driven by individual internal variables with…

Statistical Mechanics · Physics 2009-11-10 Damian H. Zanette , Alexander S. Mikhailov

Non-aligning self-propelled particles with purely repulsive excluded volume interactions undergo athermal motility-induced phase separation into a dilute gas and a dense cluster phase. Here, we use enhanced sampling computational methods…

Soft Condensed Matter · Physics 2016-10-05 Gabriel S. Redner , Caleb G. Wagner , Aparna Baskaran , Michael F. Hagan

In a quasi-1D thermal convective system consisting of a large array of nonlinearly coupled oscillators, clustering is the way to achieve a regime of mostly antiphase synchronized oscillators. This regime is characterized by a spatiotemporal…

Chaotic Dynamics · Physics 2011-03-10 M. A. Miranda , J. Burguete

Context: Star clusters form within giant molecular clouds that are strongly altered by the feedback action of the massive stars, but the cluster still remains embedded in a dense, highly turbulent medium and interactions with ambient…

Astrophysics of Galaxies · Physics 2022-11-16 Paolo Suin , Steven N. Shore , Václav Pavlík

Network of nonlinear dynamical elements often show clustering of synchronization by chaotic instability. Relevance of the clustering to ecological, immune, neural, and cellular networks is discussed, with the emphasis of partially ordered…

chao-dyn · Physics 2009-10-22 Kunihiko Kaneko

The emergence of particle irreversibility in periodically driven colloidal suspensions has been interpreted as resulting either from a nonequilibrium phase transition to an absorbing state or from the chaotic nature of particle…

Statistical Mechanics · Physics 2015-04-10 Elsen Tjhung , Ludovic Berthier

The affect of demographic stochasticity of a system of globally coupled chaotic maps is considered. A two-step model is studied, where the intra-patch chaotic dynamics is followed by a migration step that coupled all patches; the…

Chaotic Dynamics · Physics 2015-05-13 David A. Kessler , Nadav M. Shnerb

The zero range process is of particular importance as a generic model for domain wall dynamics of one-dimensional systems far from equilibrium. We study this process in one dimension with rates which induce an effective attraction between…

Statistical Mechanics · Physics 2018-04-26 Stefan Grosskinsky , Gunter M. Schuetz , Herbert Spohn

Self-propelled particles with anti-aligning interactions generally do not form a polar order. However, in this Letter, we show that when multiple types of such particles coexist and interact through aligning interactions between different…

Soft Condensed Matter · Physics 2025-12-08 Takahiro Oki , Tetsuhiro S. Hatakeyama , Seiya Nishikawa , Shuji Ishihara , Toshinori Namba

We present precision Monte Carlo data and analytic arguments for an asymmetric exclusion process, involving two species of particles driven in opposite directions on a $2 \times L$ lattice. We propose a scenario which resolves a stark…

Statistical Mechanics · Physics 2007-05-23 Ivan T. Georgiev , Beate Schmittmann , Royce K. P. Zia

The gravitational clustering of collisionless particles in an expanding universe is modelled using some simple physical ideas. I show that it is possible to understand the nonlinear clustering in terms of three well defined regimes: (1)…

Astrophysics · Physics 2022-03-09 T. Padmanabhan

Conserved growth models that exhibit a nonlinear instability in which the height (depth) of isolated pillars (grooves) grows in time are studied by numerical integration and stochastic simulation. When this instability is controlled by the…

Statistical Mechanics · Physics 2009-11-07 B. Chakrabarti , C. Dasgupta

At low temperatures ultrasoft particle systems develop interesting phases via the self-assembly of particle clusters. In this study we develop a general zero-temperature analysis fully characterizing the ground state of such models in two…

Soft Condensed Matter · Physics 2025-02-25 Matheus de Mello , Rogelio Díaz-Méndez , Alejandro Mendoza-Coto

Matter gets organized at several levels of structural rearrangements. At mesoscopic level one can distinguish between two types of rearrangements, conforming to different close-packing or densification conditions, appearing during different…

Soft Condensed Matter · Physics 2012-10-03 Adam Gadomski , Marcel Ausloos

We introduce a simple model of a growing system with $m$ competing communities. The model corresponds to the phenomenon of defeats suffered by social groups living in isolation. A nonequilibrium phase transition is observed when at critical…

Physics and Society · Physics 2011-03-15 Julian Sienkiewicz , Janusz A. Holyst

In a Newtonian system with localized interactions the whole set of particles is naturally decomposed into dynamical clusters, defined as finite groups of particles having an influence on each other's trajectory during a given interval of…

Mathematical Physics · Physics 2016-11-28 Robert I. A. Patterson , Sergio Simonella , Wolfgang Wagner
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