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The Patlak-Keller-Segel equation is a canonical model of chemotaxis to describe self-organized aggregation of organisms interacting with chemical signals. We investigate a variant of this model, assuming that the organisms exert effective…

Statistical Mechanics · Physics 2017-10-30 Seung Ki Baek , Beom Jun Kim

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

Micro-organisms aggregate through chemotaxis against a concentration gradient of signals secreted by themselves. We have numerically studied a model consisting of elements with intracellular dynamics, random walks with a state-dependent…

Statistical Mechanics · Physics 2007-10-31 Masayo Inoue , Kunihiko Kaneko

We study the effect of advection on the aggregation and pattern formation in chemotactic systems described by Keller-Segel type models. The evolution of small perturbations is studied analytically in the linear regime complemented by…

Statistical Mechanics · Physics 2015-05-13 Javier Muñoz-García , Zoltán Neufeld

Adding a non-adsorbing polymer to passive colloids induces an attraction between the particles via the `depletion' mechanism. High enough polymer concentrations lead to phase separation. We combine experiments, theory and simulations to…

Soft Condensed Matter · Physics 2016-07-13 J. Schwarz-Linek , C. Valeriani , A. Cacciuto , M. E. Cates , D. Marenduzzo , A. N. Morozov , W. C. K. Poon

Two-dimensional systems may admit a hexatic phase and hexatic-liquid transitions of different natures. The determination of their phase diagrams proved challenging, and indeed those of hard-disks, hard regular polygons, and inverse…

Soft Condensed Matter · Physics 2020-05-29 Yan-Wei Li , Massimo Pica Ciamarra

Based on Brownian Dynamics computer simulations in two dimensions we investigate aggregation scenarios of colloidal particles with directional interactions induced by multiple external fields. To this end we propose a model which allows…

Soft Condensed Matter · Physics 2015-05-08 Florian Kogler , Orlin D. Velev , Carol K. Hall , Sabine H. L. Klapp

By means of multicanonical computer simulations, we investigate thermodynamic properties of the aggregation of interacting semiflexible polymers. We analyze a mesoscopic bead-stick model, where nonbonded monomers interact via Lennard-Jones…

Soft Condensed Matter · Physics 2015-05-28 Christoph Junghans , Michael Bachmann , Wolfhard Janke

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

Biological tissues have been observed to display emergent fluid-like properties, owing to physical interactions between cells. However, it remains unclear in general how these fluid-like properties affect tissue structure and function.…

Soft Condensed Matter · Physics 2026-02-24 Giulia L. Celora , Benjamin J. Walker , Mohit P. Dalwadi , Philip Pearce

We investigate a 2D dynamical absorbing state model of monodisperse disks, in which rich phase behavior arises from interactions consisting solely of repulsive displacements between overlapping particles. The phase diagram reveals several…

Soft Condensed Matter · Physics 2025-12-23 Ashley Z. Guo , Sam Wilken , Dov Levine , Paul M. Chaikin

We present a simple model that describes the motion of a single chemotactic cell exposed to a traveling wave of the chemoattractant. The model incorporates two types of responses to stimulation by the chemoattractant, i.e., change in…

Biological Physics · Physics 2011-10-26 Masatomo Iwasa , Ryosuke Ishiwata

In this paper, we explore experimentally the phase behavior of a dense active suspension of self- propelled colloids. In addition to a solid-like and a gas-like phase observed for high and low densities, a novel cluster phase is reported at…

Soft Condensed Matter · Physics 2015-06-04 I. Theurkauff , C. Cottin-Bizonne , J. Palacci , C. Ybert , L. Bocquet

We study numerically and analytically the dynamics of a sedimenting suspension of active, reproducing particles, such as growing bacteria in a gravitational field. In steady state we find a non-equilibrium phase transition between a…

Statistical Mechanics · Physics 2009-11-13 C. Barrett-Freeman , M. R. Evans , D. Marenduzzo , W. C. K. Poon

The contact process is a stochastic process which exhibits a continuous, absorbing-state phase transition in the Directed Percolation (DP) universality class. In this work, we consider a contact process with a bias in conjunction with an…

Statistical Mechanics · Physics 2013-05-20 A. Costa , R. A. Blythe , M. R. Evans

We develop a dynamic mean-field theory for polar active particles that interact through a self-generated field, in particular one generated through emitting a chemical signal. While being a form of chemotactic response, it is different from…

Statistical Mechanics · Physics 2020-01-15 Andreas Fischer , Friederike Schmid , Thomas Speck

The effects of internal adaptation dynamics on the self-organized aggregation of chemotactic bacteria are investigated by Monte Carlo (MC) simulations based on a two-stream kinetic transport equation coupled with a reaction-diffusion…

Analysis of PDEs · Mathematics 2021-10-07 Shugo Yasuda

Liquid-liquid phase separation has recently emerged as an important topic in the context of cellular organization. Within this context, there are multiple poorly understood features; for instance hints of critical behavior in the plasma…

Statistical Mechanics · Physics 2024-06-25 Felix Herrmann , Burkhard Dünweg , Martin Girard

A microscopic model of the effect of unbinding in diffusion limited aggregation based on a cellular automata approach is presented. The geometry resembles electrochemical deposition - ``ions'' diffuse at random from the top of a container…

Materials Science · Physics 2009-11-11 G. J. Ackland , E. S. Tweedie

Periodically sheared colloids at low densities demonstrate a dynamical phase transition from an inactive to active phase as the strain amplitude is increased. The inactive phase consists of no collisions/contacts between particles in the…

Statistical Mechanics · Physics 2015-06-15 S. -L. -Y. Xu , J. M. Schwarz
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