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This chapter focuses on the mathematical modelling of active particles (or agents) in crowded environments. We discuss several microscopic models found in literature and the derivation of the respective macroscopic partial differential…

Statistical Mechanics · Physics 2022-11-11 Maria Bruna , Martin Burger , Jan-Frederik Pietschmann , Marie-Therese Wolfram

We analyse the entanglement dynamics of the two particles interacting through gravity in the recently proposed experiments aiming at testing quantum signatures for gravity [Phy. Rev. Lett 119, 240401 & 240402 (2017)]. We consider the open…

Quantum Physics · Physics 2019-06-27 H. Chau Nguyen , Fabian Bernards

One of the intrinsic characteristics of far-from-equilibrium systems is the nonrelaxational nature of the system dynamics, which leads to novel properties that cannot be understood and described by conventional pathways based on…

Soft Condensed Matter · Physics 2020-11-25 Zhi-Feng Huang , Andreas M. Menzel , Hartmut Löwen

Dating from experiments more than 20 years ago, it has been realized that the crystallization of hard colloidal particles in the vicinity of dynamical arrest has several anomalies, that render the conventional nucleation and growth model…

Disordered Systems and Neural Networks · Physics 2011-02-25 Davide Cellai , Andrzej Z. Fima , Aonghus Lawlor , Kenneth A. Dawson

We investigate the collective motion of self-propelled agents in an environment filled with obstacles that are tethered to fixed positions via springs. The active particles are able to modify the environment by moving the obstacles through…

Mathematical Physics · Physics 2023-01-24 Pierre Degond , Angelika Manhart , Sara Merino-Aceituno , Diane Peurichard , Lorenzo Sala

In simplified models of glasses we clarify the existence of two different kinds of activated dynamics, which coexist, with one of the two dominating over the other. One is the energy barrier hopping that is typically used to picture…

Disordered Systems and Neural Networks · Physics 2022-08-16 Matthew R. Carbone , Marco Baity-Jesi

The dynamical glass transition is typically taken to be the temperature at which a glassy liquid is no longer able to equilibrate on experimental timescales. Consequently, the physical properties of these systems just above or below the…

Soft Condensed Matter · Physics 2017-03-08 Samuel S. Schoenholz , Ekin D. Cubuk , Efthimios Kaxiras , Andrea J. Liu

These lecture notes are designed to provide a brief introduction into the phenomenology of active matter and to present some of the analytical tools used to rationalize the emergent behavior of active systems. Such systems are made of…

Soft Condensed Matter · Physics 2018-07-02 Étienne Fodor , M. Cristina Marchetti

In this work we study a kinetic model of active particles with delayed dynamics, and its limit when the number of particles goes to infinity. This limit turns out to be related to delayed differential equations with random initial…

Analysis of PDEs · Mathematics 2020-06-17 Juan Pablo Pinasco , Mauro Rodriguez Cartabia , Nicolas Saintier

The dynamics of colloidal particles in potential energy landscapes have mainly been investigated theoretically. In contrast, here we discuss the experimental realization of potential energy landscapes with the help of light fields and the…

We consider the Langevin dynamics of a many-body system of interacting particles in $d$ dimensions, in a very general setting suitable to model several out-of-equilibrium situations, such as liquid and glass rheology, active self-propelled…

Disordered Systems and Neural Networks · Physics 2019-03-22 Elisabeth Agoritsas , Thibaud Maimbourg , Francesco Zamponi

A recently introduced particle-based model for fluid dynamics with effective excluded volume interactions is analyzed in detail. The interactions are modeled by means of stochastic multiparticle collisions which are biased and depend on…

Soft Condensed Matter · Physics 2007-05-23 Thomas Ihle , Erkan Tuzel

Collective motion is often modeled within the framework of active fluids, where the constituent active particles, when interactions with other particles are switched off, perform normal diffusion at long times. However, in biology,…

Statistical Mechanics · Physics 2020-04-02 Andrea Cairoli , Chiu Fan Lee

Systems of dense spheres interacting through very short-ranged attraction are known from theory, simulations and colloidal experiments to exhibit dynamical reentrance. The liquid state can thus be fluidized to higher densities than…

Statistical Mechanics · Physics 2020-08-13 Patrick Charbonneau , Joyjit Kundu

The diffusion of active microscopic organisms in complex environments plays an important role in a wide range of biological phenomena from cell colony growth to single organism transport. Here, we investigate theoretically and…

Fluid Dynamics · Physics 2018-01-16 Juan L. Aragones , Shahrzad Yazdi , Alfredo Alexander-Katz

This article is an invitation. It is, first, an invitation to consider as a subject worthy of attention the wide range of situations where small discrete elements, either bubbles, droplets or solid particles, are embedded in turbulent…

Fluid Dynamics · Physics 2023-11-06 Jean-Pierre Minier , Christophe Henry

Active matter studies are increasingly geared towards the high-density or glassy limit. This is mainly inspired by the remarkable resemblance between active glassy materials and conventional passive glassy matter. Interestingly, within this…

Soft Condensed Matter · Physics 2022-11-28 Vincent E. Debets , Liesbeth M. C. Janssen

Using molecular dynamics simulations we study the slow dynamics of a hard sphere fluid confined in a disordered porous matrix. The presence of both discontinuous and continuous glass transitions as well as the complex interplay between…

Soft Condensed Matter · Physics 2009-09-29 Jan Kurzidim , Daniele Coslovich , Gerhard Kahl

Minimal models of active Brownian colloids consisting of self-propelled spherical particles with purely repulsive interactions have recently been identified as excellent quantitative testing grounds for theories of active matter and have…

Soft Condensed Matter · Physics 2016-04-12 M. Cristina Marchetti , Yaouen Fily , Silke Henkes , Adam Patch , David Yllanes

Swimmers and self-propelled particles are physical models for the collective behaviour and motility of a wide variety of living systems, such as bacteria colonies, bird flocks and fish schools. Such artificial active materials are amenable…