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Related papers: Coarsening Kinetics in Active Model B+: Macroscale…

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Brownian motion is modelled by a harmonic oscillator (Brownian particle) interacting with a continuous set of uncoupled harmonic oscillators. The interaction is linear in the coordinates and the momenta. The model has an analytical solution…

Quantum Physics · Physics 2019-08-17 Diego G. Arbo , Mario A. Castagnino , Fabian H. Gaioli , Sergio Iguri

We study the stationary states of an over-damped active Brownian particle (ABP) in a harmonic trap in two dimensions, via mathematical calculations and numerical simulations. In addition to translational diffusion, the ABP self-propels with…

Statistical Mechanics · Physics 2023-07-27 Urvashi Nakul , Manoj Gopalakrishnan

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

Dynamics of various biological filaments can be understood within the framework of active polymer models. Here we consider a bead-spring model for a flexible polymer chain in which the active interaction among the beads is introduced via an…

Soft Condensed Matter · Physics 2021-08-03 Subhajit Paul , Suman Majumder , Subir K Das , Wolfhard Janke

Understanding the mechanical properties of active suspensions is crucial for their potential applications in materials engineering. Among the various phenomena in active matter that have no analogue in equilibrium systems, motility-induced…

Soft Condensed Matter · Physics 2025-11-10 José Martín-Roca , Chantal Valeriani , Kristian Thijssen , Tyler Shendruk , Angelo Cacciuto

Active matter exhibits many intriguing non-equilibrium character, \emph{e.g.}, the active Brownian particles (ABP) without any attractive and aligned interactions can occur the mobility-induced phase transition to form some dense domains…

Soft Condensed Matter · Physics 2023-05-24 Cheng Yang , Ying Zeng , Shun Xu , Xin Zhou

We present Brownian dynamics simulation results of a flexible linear polymer with excluded-volume interactions under shear flow in the presence of active noise. The active noise strongly affects the polymer's conformational and dynamical…

Soft Condensed Matter · Physics 2023-11-21 Arindam Panda , Roland G. Winkler , Sunil P. Singh

We study active Brownian particles as a paradigm for genuine non-equilibrium phase transitions. Access to the critical point in computer simulations is obstructed by the fact that the density is conserved. We propose a modification of…

Soft Condensed Matter · Physics 2018-09-26 Jonathan Tammo Siebert , Florian Dittrich , Friederike Schmid , Kurt Binder , Thomas Speck , Peter Virnau

Non-equilibrium phase separating systems with reactions can break time-reversal symmetry (TRS) in two distinct ways. Firstly, the conservative and non-conservative sectors of the dynamics can be governed by incompatible free energies; when…

Soft Condensed Matter · Physics 2021-05-31 Yuting I. Li , Michael E. Cates

We use computer simulations to study the onset of collective motion in systems of interacting active particles. Our model is a swarm of active Brownian particles with internal energy depot and interactions inspired by the dissipative…

Statistical Mechanics · Physics 2013-05-31 Vladimir Lobaskin , Maksym Romenskyy

We undertake a detailed numerical study of the {\it Active Model B} proposed by Wittkowski et al. [Nature Comm. {\bf 5}, 4351 (2014)]. We find that the introduction of activity has a drastic effect on the ordering kinetics. First, the…

Soft Condensed Matter · Physics 2021-07-28 Sudipta Pattanayak , Shradha Mishra , Sanjay Puri

We study the maximum of Branching Brownian motion (BBM) with branching rates that vary in space, via a periodic function of a particle's location. This corresponds to a variant of the F-KPP equation in a periodic medium, extensively studied…

Probability · Mathematics 2020-05-22 Eyal Lubetzky , Chris Thornett , Ofer Zeitouni

Motivated by the anomalous diffusion observed in clusters of active Brownian particles (ABPs), where the center-of-mass diffusion coefficient scales as $D\sim N^{-1/2}$ with respect to the number $N$ of particles in the cluster, we derive a…

Statistical Mechanics · Physics 2026-05-07 Daniela Moretti , Pasquale Digregorio , Giuseppe Gonnella , Antonio Suma

We consider a rigid assembly of two active Brownian particles, forming an active colloidal dimer, in a gradient of activity. We show analytically that depending on the relative orientation of the two particles the active dimer accumulates…

Soft Condensed Matter · Physics 2022-08-17 Hidde D. Vuijk , Sophie Klempahn , Holger Merlitz , Jens-Uwe Sommer , Abhinav Sharma

Individual movements of a rod-like self-propelled particle on a flat substrate are quantified. Biological systems that fit into this description may be the Gram-negative delta-proteobacterium Myxococcus xanthus, Gram-negative bacterium…

Biological Physics · Physics 2012-05-03 Gulmammad Mammadov

Motility-induced phase separation (MIPS) is a central collective phenomenon in active matter, theoretically established in the overdamped regime. We discover that the dynamical origin of MIPS is fundamentally altered by inertia, which…

Recent theories predict phase separation among orientationally disordered active particles whose propulsion speed decreases rapidly enough with density. Coarse-grained models of this process show time-reversal symmetry (detailed balance) to…

We perform Brownian dynamics simulations in two dimensions to study the collective behavior of circle swimmers, which are driven by both, an (effective) translational and rotational self-propulsion, and interact via steric repulsion. We…

Soft Condensed Matter · Physics 2021-06-09 Guo-Jun Liao , Sabine H. L. Klapp

We study motility-induced phase separation (MIPS) in symmetric and asymmetric active binary mixtures. We start with the coarse-grained run-and-tumble bacterial model that provides evolution equations for the density fields $\rho_i(\vec r,…

Soft Condensed Matter · Physics 2024-10-02 Sayantan Mondal , Prasenjit Das

In both experiments and simulations the most commonly studied kind of parameter polydispersity is that of varying particles size. This paper investigates by simulations the effects of introducing polydispersity in other parameters for…

Soft Condensed Matter · Physics 2024-01-05 Shibu Saw , Lorenzo Costigliola , Jeppe C. Dyre