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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

We consider a microscopic field theoretical approach for interacting active nematic particles. With only steric interactions the self-propulsion strength in such systems can lead to different collective behaviour, e.g., synchronized…

Soft Condensed Matter · Physics 2021-02-04 Veit Krause , Axel Voigt

We relate the breakdown of equations of states for the mechanical pressure of generic dry active systems to the lack of momentum conservation in such systems. We show how sources and sinks of momentum arise generically close to confining…

Statistical Mechanics · Physics 2017-11-21 Yaouen Fily , Yariv Kafri , Alexandre P. Solon , Julien Tailleur , Ari Turner

We study a system of interacting active particles, propelled by colored noises, characterized by an activity time {\tau}, and confined by a single-well anharmonic potential. We assume pair-wise repulsive forces among particles, modelling…

Statistical Mechanics · Physics 2018-10-31 Lorenzo Caprini , Umberto Marini Bettolo Marconi , Andrea Puglisi

We study numerically the phases and dynamics of a dense collection of self-propelled particles with soft repulsive interactions in two dimensions. The model is motivated by recent in vitro experiments on confluent monolayers of migratory…

Soft Condensed Matter · Physics 2015-05-28 Silke Henkes , Yaouen Fily , M. Cristina Marchetti

We investigate collective phenomena with rotationally driven spinners of concave shape. Each spinner experiences a constant internal torque in either a clockwise or counterclockwise direction. Although the spinners are modeled as hard,…

Soft Condensed Matter · Physics 2014-03-10 Nguyen H. P. Nguyen , Daphne Klotsa , Michael Engel , Sharon C. Glotzer

In this work, we investigate the dynamics of interacting particle systems subjected to repulsive forces, such as lattices of magnetized particles. To this end, we first develop a general model capable of capturing the complete dynamical…

Applied Physics · Physics 2021-03-22 Weijian Jiao , Stefano Gonella

We numerically investigate the diffusive behavior of active Brownian particles in a two-dimensional confined channel filled with soft obstacles, whose softness is controlled by a parameter $K$. Here, active particles are subjected to…

Soft Condensed Matter · Physics 2024-10-22 Ankit Gupta , P. S. Burada

To describe many-particle systems suspended in incompressible low-Reynolds-number fluids, effective hydrodynamic interactions can be introduced. Here, we consider particles embedded in elastic media. The effective elastic interactions…

Soft Condensed Matter · Physics 2017-02-07 Mate Puljiz , Shilin Huang , Günter K. Auernhammer , Andreas M. Menzel

Mixtures of active and passive particles are ubiquitous at the microscale. Many essential microbial processes involve interactions with dead or immotile cells or passive crowders. When passive objects are immersed in active baths, their…

Soft Condensed Matter · Physics 2026-02-24 Horacio Serna , C. Miguel Barriuso G. , Ignacio Pagonabarraga , Marco Polin , Chantal Valeriani

The coupled dynamics of entangled polymers which span a broad time and length scales govern the unique viscoelastic properties of polymers. To follow chain mobility by numerical simulations from the intermediate Rouse and reptation regimes…

Soft Condensed Matter · Physics 2016-11-03 Gary S. Grest

Understanding the out-of-equilibrium properties of noisy microscale systems and the extent to which they can be modulated externally, is a crucial scientific and technological challenge. It holds the promise to unlock disruptive new…

Soft Condensed Matter · Physics 2022-09-21 Stephen Williams , Raphaël Jeanneret , Idan Tuval , Marco Polin

Using Brownian dynamics simulations, we systematically study the effective interaction between two parallel hard walls in a 2D suspension of self-propelled (active) colloidal hard spheres, and we find that the effective force between two…

Soft Condensed Matter · Physics 2015-01-14 Ran Ni , Martien A. Cohen Stuart , Peter G. Bolhuis

Active matter, comprising many active agents interacting and moving in fluids or more complex environments, is a commonly occurring state of matter in biological and physical systems. By its very nature active matter systems exist in…

Soft Condensed Matter · Physics 2021-02-08 Pierre Gaspard , Raymond Kapral

We numerically studied active Brownian particles with attractive interactions. Contrary to our intuition, the attractive force between particles disrupts the formation of a single cluster observed in motility-induced phase separation,…

Soft Condensed Matter · Physics 2025-05-27 Sota Shimamura , Nen Saito , Shuji Ishihara

We introduce a novel model for active particles with short-range aligning interactions and study their behaviour in crowded environments using numerical simulations. When only active particles are present, we observe a transition from a…

Computational Physics · Physics 2017-12-06 Simon Nilsson , Giovanni Volpe

Active adaptive matter has attracted considerable interest due to its rich, largely unexplained dynamics and its relevance to a wide range of synthetic and biological materials. An important subclass of such systems consists of active…

Soft Condensed Matter · Physics 2026-02-05 William G. C. Oropesa , P. de Castro , Hartmut Löwen , Danilo B. Liarte

We study the interaction of small hydrophobic particles on the surface of an ultra-soft elastic gel, in which a small amount of elasticity of the medium balances the weights of the particles. The excess energy of the surface of the deformed…

Soft Condensed Matter · Physics 2014-06-09 Aditi Chakrabarti , Manoj K. Chaudhury

Nonreciprocal interactions are known to produce distinctive dynamics in active matter. To shed light on how the stationary state of such systems is affected by breaking reciprocity, we consider active Ornstein-Uhlenbeck particles coupled…

Statistical Mechanics · Physics 2025-10-16 Matthew Du , Andriy Goychuk , Suriyanarayanan Vaikuntanathan

External fields can decidedly alter the free energy landscape of soft materials and can be exploited as a powerful tool for the assembly of targeted nanostructures and colloidal materials. Here, we use computer simulations to demonstrate…

Soft Condensed Matter · Physics 2019-02-08 Ahmad K. Omar , Yanze Wu , Zhen-Gang Wang , John F. Brady