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Disorder and homogeneity are two concepts that refer to spatial variation of the system potential. In condensed-matter systems disorder is typically divided into two types; those with local parameters varying from site to site (diagonal…

Disordered Systems and Neural Networks · Physics 2022-11-14 Z. Ovadyahu

It has been recently observed that synthetic materials subjected to an external elastic stress give rise to scaling phenomena in the acoustic emission signal. Motivated by this experimental finding we develop a mesoscopic model in order to…

Materials Science · Physics 2008-02-03 Stefano Zapperi , Alessandro Vespignani , H. Eugene Stanley

We present a self-consistent theory for sound propagation in a simple model of a disordered solid. The solid is modeled as a collection of randomly distributed particles connected by harmonic springs with strengths that depend on the…

Disordered Systems and Neural Networks · Physics 2024-12-20 Grzegorz Szamel

Time-dependent driving holds the promise of realizing dynamical phenomenon absent in static systems. Here, we introduce a correlated random driving protocol to realize a spatiotemporal order that cannot be achieved even by periodic driving,…

Statistical Mechanics · Physics 2023-06-27 Hongzheng Zhao , Johannes Knolle , Roderich Moessner

The viscosity of suspensions of large ($\geq10{\mu m}$) particles diverges at high solid fractions due to proliferation of frictional particle contacts. Reducing friction, to allow or improve flowability, is usually achieved by tuning the…

Soft Condensed Matter · Physics 2018-04-05 Christopher Ness , Romain Mari , Michael E Cates

The effect of alternating shear orientation during cyclic loading on the relaxation dynamics in disordered solids is examined using molecular dynamics simulations. The model glass was initially prepared by rapid cooling from the liquid…

Soft Condensed Matter · Physics 2019-10-24 Nikolai V. Priezjev

This paper considers a discrete time swarm model of a group of mobile autonomous agents with a simple attraction and repulsion function for swarm aggregation and investigates its stability properties. In particular, it is proved that the…

Optimization and Control · Mathematics 2007-05-23 Long Wang

Self-organisation lies at the core of fundamental but still unresolved scientific questions, and holds the promise of de-centralised paradigms crucial for future technological developments. While self-organising processes have been…

Adaptation and Self-Organizing Systems · Physics 2019-04-16 Fernando Rosas , Pedro A. M. Mediano , Martin Ugarte , Henrik J. Jensen

We consider both theoretically and experimentally self-organization process of quasi-equilibrium steady-state condensation of sputtered substance in accumulative ion-plasma devices. The self-organization effect is shown to be caused by…

Statistical Mechanics · Physics 2015-05-14 V. I. Perekrestov , A. I. Olemskoi , Yu. A. Kosminska , A. A. Mokrenko

A simple periodically driven system displaying rich behavior is introduced and studied. The system self-organizes into a mosaic of static ordered regions with three possible patterns, which are threaded by one-dimensional paths on which a…

Statistical Mechanics · Physics 2015-03-24 Daniel Hexner , Dov Levine

A two-dimensional lattice model for the formation and evolution of shear bands in granular media is proposed. Each lattice site is assigned a random variable which reflects the local density. At every time step, the strain is localized…

Statistical Mechanics · Physics 2013-05-29 Janos Torok , Supriya Krishnamurthy , Janos Kertesz , Stephane Roux

A model for a monolayer of two types of particles spontaneously forming ordered patterns is studied by a mesoscopic theory and by MC simulations. We assume hard-cores of the same size for both components, short-range attraction long-range…

Soft Condensed Matter · Physics 2023-11-10 O. Patsahan , A. Meyra , A. Ciach

Self-organization is the autonomous assembly of a network of interacting components into a stable, organized pattern. This article shows that the process of self-assembly can be encoded in terms of evolutionary entropy, a statistical…

Statistical Mechanics · Physics 2023-05-29 Lloyd A. Demetrius

We consider the ordered and disordered dynamics for monolayers of rolling self-interacting particles with an offset center of mass and a non-isotropic inertia tensor. The rolling constraint is considered as a simplified model of a very…

Computational Physics · Physics 2015-05-19 Byungsoo Kim , Vakhtang Putkaradze

In complex systems, groups of interacting objects may form prevalent and persistent spatiotemporal patterns, which we refer to as motifs. These motifs can exhibit features that reveal how individual objects interact with one another.…

Biological Physics · Physics 2025-12-12 Ying Chen Lim , Rakesh Das , Tetsuya Hiraiwa , N. Duane Loh

We investigate the self-organization of point-particles with short-range interactions modeled via simple 1D and 2D Hubbard-like models. We show how various properties emerge such as, boson-like ordering leading to topological structures in…

Strongly Correlated Electrons · Physics 2020-09-08 Ioannis Kleftogiannis , Ilias Amanatidis

It is well known that particles can get trapped by randomly placed obstacles when they are pushed too much. We present a model where the current in a disordered medium dies at a large external field, but is reborn when the activity is…

Statistical Mechanics · Physics 2017-10-04 T. Demaerel , C. Maes

Modular organization characterizes many complex networks occurring in nature, including the brain. In this paper we show that modular structure may be responsible for increasing the robustness of certain dynamical states of such systems. In…

Disordered Systems and Neural Networks · Physics 2015-05-27 Neeraj Pradhan , Subinay Dasgupta , Sitabhra Sinha

Spontaneous strain localization occurs during mechanical tests of a model amorphous solid simulated using molecular dynamics. The degree of localization depends upon the extent of structural relaxation prior to mechanical testing. In the…

Materials Science · Physics 2007-05-23 Yunfeng Shi , Michael L. Falk

Biological functions rely on ordered structures and intricately controlled collective dynamics. In contrast to systems in thermodynamic equilibrium, order is typically established and sustained in stationary states by continuous dissipation…