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Understanding the asymptotic behavior of reaction-diffusion (RD) systems is crucial for modeling processes ranging from species coexistence in ecology to biochemical interactions within cells. In this work, we analyze RD systems in which…

Dynamical Systems · Mathematics 2025-02-18 Carlos Barajas , Jean-Jacques Slotine , Domitilla Del Vecchio

Local diffusion coefficients in disordered systems such as spin glass systems and living cells are highly heterogeneous and may change over time. Such a time-dependent and spatially heterogeneous environment results in irreproducibility of…

Statistical Mechanics · Physics 2016-12-21 Takuma Akimoto , Eiji Yamamoto

Using granular experiments and computer simulations, we investigate the long-time diffusion of active tracers in a broad class of complex media composed of frozen obstacles of diverse structures. By introducing a dimensionless persistence…

Soft Condensed Matter · Physics 2025-05-06 Qun Zhang , Yuxin Tian , Xue Zhang , Xiaoting Yu , Hongwei Zhu , Ning Zheng , Luhui Ning , Ran Ni , Mingcheng Yang , Peng Liu

A two-dimensional bidisperse granular fluid is shown to exhibit pronounced long-ranged dynamical heterogeneities as dynamical arrest is approached. Here we focus on the most direct approach to study these heterogeneities: we identify…

Disordered Systems and Neural Networks · Physics 2017-10-27 Karina E. Avila , Horacio E. Castillo , Katharina Vollmayr-Lee , Annette Zippelius

We investigate thermal avalanche dynamics in amorphous solids using elastoplastic models with local activation rules and no external driving. Dynamical heterogeneities, quantified through persistence measurements and the associated…

Disordered Systems and Neural Networks · Physics 2026-02-26 Gieberth Rodriguez-Lopez , Ezequiel E. Ferrero

Diffusion behaviors of heterogeneous materials are of paramount importance in many engineering problems. Numerical models that take into account the internal structure of such materials are robust but computationally very expensive. This…

Numerical Analysis · Mathematics 2023-12-18 Jan Eliáš , Hao Yin , Gianluca Cusatis

We study the relation between short-time vibrational modes and long-time relaxational dynamics in a kinetically constrained lattice gas with harmonic interactions between neighbouring particles. We find a correlation between the location of…

Statistical Mechanics · Physics 2014-03-14 Douglas J. Ashton , Juan P. Garrahan

We study the long time behavior (homogenization) of a diffusion in random medium with time and space dependent coefficients. The diffusion coefficient may degenerate. In Stochastic Process. Appl. (2007) (to appear), an invariance principle…

Probability · Mathematics 2008-08-26 Rémi Rhodes

We review the recent literature on the simulation of the structure and deformation of amorphous glasses, including oxide and metallic glasses. We consider simulations at different length and time scales. At the nanometer scale, we review…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 David Rodney , Anne Tanguy , Damien Vandembroucq

We extend recent results on the exact hydrodynamics of a system of diffusive active particles displaying a motility-induced phase separation to account for typical fluctuations of the dynamical fields. By calculating correlation functions…

Statistical Mechanics · Physics 2021-08-26 Tal Agranov , Sunghan Ro , Yariv Kafri , Vivien Lecomte

Heterogeneity is classified in five categories---topologic, geometric, kinematic, static, and constitutive---and the first four categories are investigated in a numerical DEM simulation of biaxial compression. The simulation experiments…

Soft Condensed Matter · Physics 2019-01-23 Matthew R. Kuhn

When a fluid carrying a passive solute flows quickly through porous media, three key macroscale transport mechanisms occur. These mechanisms are diffusion, advection and dispersion, all of which depend on the microstructure of the porous…

Fluid Dynamics · Physics 2024-10-16 Lucy C Auton , Mohit P. Dalwadi , Ian M. Griffiths

In this work, a higher-order irrotational strain gradient plasticity theory is studied in the small strain regime. A detailed numerical study is based on the problem of simple shear of a non-homogeneous block comprising an elastic-plastic…

Materials Science · Physics 2019-06-26 Nothando Mhlongo , B Daya Reddy

We study the role of elasticity-induced facilitation on the dynamics of glass-forming liquids by a coarse-grained two-dimensional model in which local relaxation events, taking place by thermal activation, can trigger new relaxations by…

Disordered Systems and Neural Networks · Physics 2023-04-05 Misaki Ozawa , Giulio Biroli

Mechanochemical processes on surfaces such as the cellular cortex or epithelial sheets, play a key role in determining patterns and shape changes of biological systems. To understand the complex interplay of hydrodynamics and material flows…

Soft Condensed Matter · Physics 2023-05-04 Lucas D. Wittwer , Sebastian Aland

Stochasticity is a defining feature of the pairwise forces governing interactions in biological systems-from molecular motors to cell-cell adhesion-yet its consequences on large-scale dynamics remain poorly understood. Here, we show that…

Soft Condensed Matter · Physics 2025-08-27 Henry Alston , Raphael Voituriez , Thibault Bertrand

We investigate the possibility of projecting low dimensional chaos from spatiotemporal dynamics of a model for a kind of plastic instability observed under constant strain rate deformation conditions. We first discuss the relationship…

Chaotic Dynamics · Physics 2013-03-28 Ritupan Sarmah , G. Ananthakrishna

Consider a particle diffusing in a confined volume which is divided into two equal regions. In one region the diffusion coefficient is twice the value of the diffusion coefficient in the other region. Will the particle spend equal…

Dynamical Systems · Mathematics 2015-06-04 P. F. Tupper , Xin Yang

We discuss the plastic behavior of an amorphous matrix reinforced by hard particles. A mesoscopic depinning-like model accounting for Eshelby elastic interactions is implemented. Only the effect of a plastic disorder is considered.…

Materials Science · Physics 2016-02-17 Botond Tyukodi , Claire A. Lemarchand , Jesper S. Hansen , Damien Vandembroucq

Internally generated active stresses drive soft materials into architectures inaccessible to thermal self-assembly. We use a microtubule-based active fluid to assemble and irreversibly restructure actin-fascin networks. Subsequently, we…

Soft Condensed Matter · Physics 2026-05-13 Kyu Hwan Choi , Sattvic Ray , Reef Sweeney , Zvonimir Dogic , Sho C. Takatori