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Correlations and other collective phenomena in a schematic model of heterogeneous binary agents (individual spin-glass samples) are considered on the complete graph and also on 2d and 3d regular lattices. The system's stochastic dynamics is…

Disordered Systems and Neural Networks · Physics 2014-02-25 Imre Kondor , István Csabai , Gábor Papp , Enys Mones , Gábor Czimbalmos , Máté Csaba Sándor

A standard result by Smale states that n dimensional strongly cooperative dynamical systems can have arbitrary dynamics when restricted to unordered invariant hyperspaces. In this paper this result is extended to the case when all solutions…

Dynamical Systems · Mathematics 2007-06-12 German A. Enciso

Two-dimensional (2D) particulate aggregates formed due to competing interactions exhibit a range of non-equilibrium steady state morphologies from finite-size compact crystalline structures to non-compact string-like conformations. We…

Soft Condensed Matter · Physics 2015-05-22 Tamoghna Das , T. Lookman , M. M. Bandi

The dynamical stability of massive thin shells with a given equation of state (EOS) is here compared (both for the barotropic and non-barotropic case) with the results coming from thermodynamical stability. Our results show that the…

General Relativity and Quantum Cosmology · Physics 2020-06-15 Santiago Esteban Perez Bergliaffa , Marcelo Chiapparini , Luz Marina Reyes

We demonstrate that the spatial correlations of microscopic stresses in 2D model colloidal gels obtained in computer simulations can be quantitatively described by the predictions of a theory for emergent elasticity of pre-stressed solids…

We examine the structure and dynamics of small isolated $N$-particle clusters interacting via short-ranged Morse potentials. "Ideally preprared ensembles" obtained via exact enumeration studies of sticky hard sphere packings serve as…

Soft Condensed Matter · Physics 2015-06-22 Robert S. Hoy

In polymers melts and supercooled liquids, the glassy dynamics is characterized by the rattling of monomers or particles in the cage formed by their neighbors. Recently, a direct correlation in such systems, described by a universal scaling…

Soft Condensed Matter · Physics 2010-09-09 Cristiano De Michele , Emanuela Del Gado , Dino Leporini

By using fluid-kinetic simulations of confined and concentrated emulsion droplets, we investigate the nature of space non-homogeneity in soft-glassy dynamics and provide quantitative measurements of the statistical features of plastic…

Soft Condensed Matter · Physics 2014-02-19 R. Benzi , M. Sbragaglia , P. Perlekar , M. Bernaschi , S. Succi , F. Toschi

Structural organization and correlations are studied in very large packings of equally sized acrylic spheres, reconstructed in three-dimensions by means of X-ray computed tomography. A novel technique, devised to analyze correlations among…

Soft Condensed Matter · Physics 2007-09-19 Tomaso Aste

We experimentally investigate the steady states of two granular assemblies differing in their material properties and allowed to exchange volume with each other under external agitation in the vicinity of their jamming transition. We…

Soft Condensed Matter · Physics 2010-02-01 F. Lechenault , Karen E. Daniels

We investigate the spatial correlations of microscopic stresses in soft particulate gels, using 2D and 3D numerical simulations. We use a recently developed theoretical framework predicting the analytical form of stress-stress correlations…

Soft Condensed Matter · Physics 2023-03-29 H. A. Vinutha , Fabiola Diaz Ruiz , Xiaoming Mao , Bulbul Chakraborty , Emanuela Del Gado

Coarse-grained descriptions of dislocation motion in crystalline metals inherently represent a loss of information regarding dislocation-dislocation interactions. In the present work, we consider a coarse-graining framework capable of…

Materials Science · Physics 2020-12-21 Joseph Anderson , Anter El-Azab

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

We present a simple discrete model for the non-linear spatial interaction of different kinds of ``subpopulations'' composed of identical moving entities like particles, bacteria, individuals, etc. The model allows to mimic a variety of…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Tadeusz Platkowski

The emergence of global order in complex systems with locally interacting components is most striking at criticality, where small changes in control parameters result in a sudden global re-organization. We introduce a measure of…

Statistical Mechanics · Physics 2020-10-02 Ramil Nigmatullin , Mikhail Prokopenko

We propose a simple model that aims at describing, in a stylized manner, how local breakdowns due unbalances or congestion propagate in real dynamical networks. The model converges to a self-organized critical stationary state in which the…

Statistical Mechanics · Physics 2007-05-23 Ginestra Bianconi , Matteo Marsili

One of the central problems of the liquid-glass transition is whether there is a structural signature that can qualitatively distinguish different dynamic behaviors at different degrees of supercooling. Here, we propose a novel structural…

Soft Condensed Matter · Physics 2015-09-24 Yan-Wei Li , You-Liang Zhu , Zhao-Yan Sun

We uncover the dynamics of particles with Gaussian core interactions across melting in pure and disordered two-dimensional (2D) systems. Intriguing signatures of cooperative motion of particles in string-like paths are found at low…

Soft Condensed Matter · Physics 2024-11-26 Saikat Dutta , Prashanti Jami , Pinaki Chaudhuri , Chandan Dasgupta , Amit Ghosal

Dynamical signatures are known to precede jamming in hard-particle systems, but static structural signatures have proven more elusive. The observation that compressing hard-particle packings towards jamming causes growing hyperuniformity…

Statistical Mechanics · Physics 2016-09-21 Steven Atkinson , Frank H. Stillinger , Salvatore Torquato

The process of pattern formation in the two dimensional Swift-Hohenberg equation is examined through numerical and analytic methods. Dynamic scaling relationships are developed for the collective ordering of convective rolls in the limit of…

Condensed Matter · Physics 2009-10-22 K. R. Elder , Jorge Viñals , Martin Grant