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We consider a partial differential equation model for the growth of heterogeneous cell populations subdivided into multiple distinct discrete phenotypes. In this model, cells preferentially move towards regions where they feel less…

Analysis of PDEs · Mathematics 2025-04-04 José A. Carrillo , Tommaso Lorenzi , Fiona R. Macfarlane

Flowing granular materials segregate due to differences in particle size (driven by percolation) and density (driven by buoyancy). Modelling the segregation of mixtures of large/heavy particles and small/light particles is challenging due…

Soft Condensed Matter · Physics 2021-05-18 Yifei Duan , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

We numerically examine binary-sized granular mixtures confined between two parallel walls subjected to vertical vibration using the discrete element method. For a size ratio of $3$ between large and small particles, we study the structure…

Soft Condensed Matter · Physics 2026-05-26 Fumiaki Nakai , Kiwamu Yoshii

We simulate a model of self-propelled disks with soft repulsive interactions confined to a box in two dimensions. For small rotational diffusion rates, monodisperse disks spontaneously accumulate at the walls. At low densities, interaction…

Soft Condensed Matter · Physics 2014-03-05 Xingbo Yang , M. Lisa Manning , M. Cristina Marchetti

We experimentally study the mixing of binary granular systems in a horizontal rotating cylinder. When materials have the same size and differ by dynamic angle of repose only, we observe an axial transport of matter that generates transient…

Materials Science · Physics 2016-06-27 Andrea C. Santomaso , Luca Petenò , Paolo Canu

Proliferation and motility are ubiquitous drivers of activity in biological systems. Here, we study a dense binary mixture of motile and proliferating particles with exclusively repulsive interactions, where homeostasis in the proliferating…

Soft Condensed Matter · Physics 2025-06-11 Lukas Hupe , Joanna M. Materska , David Zwicker , Ramin Golestanian , Bartlomiej Waclaw , Philip Bittihn

We study a model for microscopic segregation in a homogeneous system of particles moving on a one-dimensional lattice. Particles tend to separate from each other, and evolution ceases when at least one empty site is found between any two…

Adaptation and Self-Organizing Systems · Physics 2009-11-11 Santiago Gil , Damian H. Zanette

Recently several authors studied the segregation of particles for a system composed of mono-dispersed inelastic spheres contained in a box divided by a wall in the middle. The system exhibited a symmetry breaking leading to an…

Statistical Mechanics · Physics 2007-06-13 R. Lambiotte , J. M. Salazar , L. Brenig

We propose a computational method to simulate anomalous self-diffusion in a simple liquid. The method is based on a molecular dynamics simulation on which we impose the following two conditions: firstly, the inter-particle interaction is…

Statistical Mechanics · Physics 2010-04-07 Simon Standaert , Jan Ryckebusch , Lesley De Cruz

Size segregation in bedload transport is studied numerically with a coupled fluid-discrete element model. Starting from an initial deposit of small spherical particles on top of a large particle bed, the segregation dynamics of the bed is…

We report the results of an experimental investigation of segregation in a binary mixture of dry particles subjected to horizontal oscillatory excitation. The thin layer of particles was driven by the stick--slip frictional interaction with…

Soft Condensed Matter · Physics 2009-11-10 P. M. Reis , G. Ehrhardt , A. Stephenson , T. Mullin

Particle segregation is common in natural and industrial processes involving flowing granular materials. Complex, and seemingly contradictory, segregation phenomena have been observed for different boundary conditions and forcing. Using…

Soft Condensed Matter · Physics 2021-09-08 Lu Jing , Julio M. Ottino , Richard M. Lueptow , Paul B. Umbanhowar

We consider one-dimensional asymmetric exclusion processes with a simple attractive interaction, where the distance between consecutive particles is not allowed to exceed a certain limit and investigate the consequences of this coupling on…

Disordered Systems and Neural Networks · Physics 2009-11-13 Róbert Juhász

Active systems, or active matter, are self-driven systems which live, or function, far from equilibrium - a paradigmatic example which we focus on here is provided by a suspension of self-motile particles. Active systems are far from…

Soft Condensed Matter · Physics 2015-05-19 Giuseppe Gonnella , Davide Marenduzzo , Antonio Suma , Adriano Tiribocchi

When granular mixtures of different sizes are fluidized, each species spontaneously separates and condenses to form patterns. Although granular segregation has been extensively studied, the inability to directly observe the time evolution…

Soft Condensed Matter · Physics 2023-03-31 Hiroyuki Ebata , Shio Inagaki

We simulate a two dimensional model of self-propelled particles confined by a deformable boundary. The particles tend to accumulate near the boundary and the shape of the boundary deforms upon the collisions. We find that there are two…

Soft Condensed Matter · Physics 2018-05-18 Wen-de Tian , Yong-kun Guo , Kang Chen , Yu-qiang Ma

Recent studies have highlighted the sensitivity of active matter to boundaries and their geometries. Here we develop a general theory for the dynamics and statistics of active particles on curved surfaces and illustrate it on two examples.…

Soft Condensed Matter · Physics 2016-01-15 Yaouen Fily , Aparna Baskaran , Michael F. Hagan

We investigate the static and dynamic properties of a celebrated model of social segregation, providing a complete explanation of the mechanisms leading to segregation both in one- and two-dimensional systems. Standard statistical physics…

Physics and Society · Physics 2009-11-13 Luca Dall'Asta , Claudio Castellano , Matteo Marsili

This paper considers the segregation of a granular mixture in a rotating drum. Extending a recent kinematic model for grain transport on sandpile surfaces to the case of rotating drums, an analysis is presented for radial segregation in the…

Soft Condensed Matter · Physics 2020-07-03 Saikat Chakraborty , Prabhu R. Nott , J. Ravi Prakash

The more we learn about the cytoplasm of cells, the more we realise that the cytoplasm is not uniform but instead is highly inhomogeneous. In any inhomogeneous solution, there are concentration gradients, and particles move either up or…

Subcellular Processes · Quantitative Biology 2019-04-03 Richard P. Sear