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Applications of active particles require a method for controlling their dynamics. While this is typically achieved via direct interventions, indirect interventions based, e.g., on an orientation-dependent self-propulsion speed of the…

Soft Condensed Matter · Physics 2022-10-25 Stephan Bröker , Jens Bickmann , Michael te Vrugt , Michael E. Cates , Raphael Wittkowski

We present a predictive local field theory for the nonequilibrium dynamics of interacting active Brownian particles with a spherical shape in two spatial dimensions. The theory is derived by a rigorous coarse-graining starting from the…

Soft Condensed Matter · Physics 2020-05-26 Jens Bickmann , Raphael Wittkowski

We work in theories with both light and heavy particles. A method to obtain an effective low energy action with respect to the light particle is presented. Thanks to Wilsonian renormalization, we obtain effective actions with finite number…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. S. Lim , Bungo Taga

We study analytically how noninteracting weakly active particles, for which passive Brownian diffusion cannot be neglected and activity can be treated perturbatively, distribute and behave near boundaries in various geometries. In…

Soft Condensed Matter · Physics 2021-05-05 Michael Wang

We derive a microscopic expression for a quantity $\mu$ that plays the role of chemical potential of Active Brownian Particles (ABPs) in a steady state in the absence of vortices. We show that $\mu$ consists of (i) an intrinsic chemical…

Soft Condensed Matter · Physics 2018-01-17 Siddharth Paliwal , Jeroen Rodenburg , René van Roij , Marjolein Dijkstra

We study the pair correlation of Active Brownian Particles at low density using numerical simulations and analytical calculations. We observe a winged pair correlation: while particles accumulate in front of an active particle as expected,…

Statistical Mechanics · Physics 2021-01-20 Alexis Poncet , Olivier Bénichou , Vincent Démery , Daiki Nishiguchi

We characterise the steady states of a suspension of two-dimensional active brownian particles (ABPs). We calculate the steady-state probability distribution to lowest order in Peclet number. We show that macroscopic quantities can be…

Statistical Mechanics · Physics 2023-08-09 Samuel Cameron , Majid Mosayebi , Rachel Bennett , Tanniemola B. Liverpool

We present a general method based on nonlinear response theory to obtain effective interactions between ions in an electron gas which can also be applied to other systems where an adiabatic separation of time-scales is possible. Nonlinear…

Materials Science · Physics 2007-10-05 Simon Gravel , N. W. Ashcroft

It is well known that path probabilities of Brownian motion correspond to the equilibrium configurational probabilities of flexible Gaussian polymers, while those of active Brownian motion correspond to in-extensible semiflexible polymers.…

Statistical Mechanics · Physics 2020-12-14 Amir Shee , Abhishek Dhar , Debasish Chaudhuri

We consider two particles performing continuous-time nearest neighbor random walk on $\mathbb Z$ and interacting with each other when they are at neighboring positions. Typical examples are two particles in the partial exclusion process or…

Probability · Mathematics 2017-12-08 Gioia Carinci , Cristian Giardina , Frank Redig

The transport of independent active Brownian particles within a two-dimensional narrow channel, modeled as an open-wedge, is studied both numerically and theoretically. We show that the active force tends to localize the particles near the…

Statistical Mechanics · Physics 2019-05-01 Lorenzo Caprini , Fabio Cecconi , Umberto Marini Bettolo Marconi

In this work, we study a system of passive Brownian (non-self-propelled) particles in two dimensions, interacting only through a social-like force (velocity alignment in this case) that resembles Kuramoto's coupling among phase oscillators.…

Statistical Mechanics · Physics 2015-04-13 Francisco J. Sevilla , Victor Dossetti , Alexandro Heiblum-Robles

Systems comprised of self-steering active Brownian particles are studied via simulations for a minimal cognitive flocking model. The dynamics of the active Brownian particles is extended by an orientational response with limited…

Soft Condensed Matter · Physics 2024-06-04 Rajendra Singh Negi , Roland G. Winkler , Gerhard Gompper

We computationally study suspensions of slow and fast active Brownian particles that have undergone motility induced phase separation and are at steady state. Such mixtures, of varying non-zero activity, remain largely unexplored even…

Soft Condensed Matter · Physics 2024-07-11 Nicholas J Lauersdorf , Ehssan Nazockdast , Daphne Klotsa

In this paper, we report a Brownian dynamics simulation of the mobility-induced phase separation which occurs in a two-dimensional binary mixture of active soft Brownian particles, whose interactions are modeled by non-additive…

Soft Condensed Matter · Physics 2026-01-23 D. Jiménez-Flores , A. Rodríguez-Rivas , J. M. Romero-Enrique

Steady-state pair correlations between inelastic granular beads in a vertically shaken, quasi two-dimensional cell can be mapped onto the particle correlations in a truly two-dimensional reference fluid in thermodynamic equilibrium. Using…

Soft Condensed Matter · Physics 2019-06-12 Gustavo M. Rodríguez-Liñán , Marco Heinen

Active particle systems of interacting self-propelled particles offer a versatile framework for modeling complex systems. When employed to describe aspects of animal behavior, the complexity of animal movement and decision-making often…

Biological Physics · Physics 2025-01-09 Amir Haluts , Dan Gorbonos , Nir S. Gov

Brownian dynamics is a popular fine-grained method for simulating systems of interacting particles, such as chemical reactions. Though the method is simple to simulate, it is generally assumed that the dynamics is impossible to solve…

Statistical Mechanics · Physics 2016-05-19 Stephen Smith , Ramon Grima

We investigate a two-dimensional system of active particles confined to a narrow annular domain. Despite the absence of explicit interactions among the velocities or the active forces of different particles, the system displays a transition…

Statistical Mechanics · Physics 2022-03-15 Lorenzo Caprini , Claudio Maggi , Umberto Marini Bettolo Marconi

An active Brownian particle is a minimal model for a self-propelled colloid in a dissipative environment. Experiments and simulations show that, in the presence of boundaries and obstacles, active Brownian particle systems approach…

Soft Condensed Matter · Physics 2024-01-17 Caleb G. Wagner , Michael F. Hagan , Aparna Baskaran