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Starting from a microscopic multiparticle Langevin equation, we systematically derive a hydrodynamic description in terms of density and momentum fields for chiral active particles interacting via standard repulsive and nonlocal odd forces.…

Soft Condensed Matter · Physics 2026-01-28 Umberto Marini Bettolo Marconi , Alessandro Petrini , Raphaël Maire , Lorenzo Caprini

While active matter physics has traditionally focused on particles with overdamped dynamics, recent years have seen an increase of experimental and theoretical work on active systems with inertia. This also leads to an increased need for…

Statistical Mechanics · Physics 2026-02-13 Michael te Vrugt

Active matter concerns many-body systems comprised of living or self-driven agents that collectively exhibit macroscopic phenomena distinct from conventional passive matter. Using Schwinger-Keldysh effective field theory, we develop a novel…

Soft Condensed Matter · Physics 2025-11-07 Jay Armas , Akash Jain , Ruben Lier

We derive the hydrodynamic equations of motion for a fluid of active particles described by under- damped Langevin equations that reduce to the Active-Brownian-Particle model, in the overdamped limit. The contraction into the hydrodynamic…

Statistical Mechanics · Physics 2017-06-07 Stefano Steffenoni , Gianmaria Falasco , Klaus Kroy

We perform a coarse-graining analysis of the paradigmatic active matter model, Active Brownian Particles, yielding a continuum description in terms of balance laws for mass, linear and angular momentum, and energy. The derivation of the…

Soft Condensed Matter · Physics 2019-04-30 Jeffrey M. Epstein , Katherine Klymko , Kranthi K. Mandadapu

In equilibrium, the collective behaviour of particles interacting via steep, short-ranged potentials is well captured by the virial expansion of the free energy at low density. Here, we extend this approach beyond equilibrium to the case of…

Soft Condensed Matter · Physics 2023-06-21 Yuting Irene Li , Rosalba Garcia-Millan , Michael E. Cates , Étienne Fodor

Active particles which are self-propelled by converting energy into mechanical motion represent an expanding research realm in physics and chemistry. For micron-sized particles moving in a liquid ("microswimmers"), most of the basic…

Soft Condensed Matter · Physics 2020-02-19 Hartmut Löwen

The dynamics of dry active matter have implications for a diverse collection of biological phenomena spanning a range of length and time scales, such as animal flocking, cell tissue dynamics, and swarming of inserts and bacteria. Uniting…

Soft Condensed Matter · Physics 2021-01-07 David Nesbitt , Gunnar Pruessner , Chiu Fan Lee

Collective behaviour in suspensions of microswimmers is often dominated by the impact of long-ranged hydrodynamic interactions. These phenomena include active turbulence, where suspensions of pusher bacteria at sufficient densities exhibit…

Soft Condensed Matter · Physics 2019-08-27 Dora Bardfalvy , Henrik Nordanger , Cesare Nardini , Alexander Morozov , Joakim Stenhammar

Active matter exhibits various forms of non-equilibrium states in the absence of external forcing, including macroscopic steady-state currents. Such states are often too complex to be modelled from first principles and our understanding of…

Soft Condensed Matter · Physics 2020-09-17 Viktor Škultéty , Cesare Nardini , Joakim Stenhammar , Davide Marenduzzo , Alexander Morozov

The Schroedinger equation for N particles interacting through effective pair potentials is derived from the massless Nelson model with ultraviolet cutoffs. We consider a scaling limit where the particles are slow and heavy, but, in contrast…

Mathematical Physics · Physics 2015-06-26 Stefan Teufel

We consider a class of one dimensional compressible systems with degenerate diffusion coefficients. We establish the fact that the solutions remain smooth as long as the diffusion coefficients do not vanish, and give local and global…

Analysis of PDEs · Mathematics 2019-11-26 Peter Constantin , Theodore D. Drivas , Huy Q. Nguyen , Federico Pasqualotto

Modeling the couplings between active particles often neglects the possible many-body effects that control the propulsion mechanism. Accounting for such effects requires the explicit modeling of the molecular details at the origin of…

Soft Condensed Matter · Physics 2023-09-18 Jeanne Decayeux , Jacques Fries , Vincent Dahirel , Marie Jardat , Pierre Illien

We derive an effective equation for the dynamics of many identical bosons in dimension one in the presence of a tiny impurity. The interaction between every pair of bosons is mediated by the impurity through a positive three-body potential.…

Mathematical Physics · Physics 2025-07-25 Riccardo Adami , Jinyeop Lee

We consider a lattice model of active matter with exclusion and derive its hydrodynamic description exactly. The hydrodynamic limit leads to an integro-differential equation for the density of particles with a given orientation. Volume…

Mathematical Physics · Physics 2023-10-31 James Mason , Clement Erignoux , Robert Jack , Maria Bruna

Conventional phase segregation is controlled by a positive interfacial tension, which implies that the system relaxes towards a state in which the interfacial area (or length) is minimized, typically manifesting as a single droplet that…

Soft Condensed Matter · Physics 2025-09-24 Kathrin Hertäg , Joshua F. Robinson , Thomas Speck

We extend the generalized Langevin model, originally developed for the Lagrangian fluid particle velocity in constant-density shear-driven turbulence, to variable-density (VD) pressure-gradient-driven flows. VD effects due to non-uniform…

Fluid Dynamics · Physics 2015-05-27 J. Bakosi , J. R. Ristorcelli

Self-propelled particles, which convert energy into mechanical motion, exhibit inertia if they have a macroscopic size or move inside a gaseous medium, in contrast to micron-sized overdamped particles immersed in a viscous fluid. Here we…

Soft Condensed Matter · Physics 2021-11-08 G. H. Philipp Nguyen , René Wittmann , Hartmut Löwen

Active suspensions, which consist of suspended self-propelling particles such as swimming microorganisms, often exhibit non-trivial transport properties. Continuum models are frequently employed to elucidate phenomena in active suspensions,…

Soft Condensed Matter · Physics 2024-10-14 Lloyd Fung , Hakan O. Caldag , Martin A. Bees

Active turbulence is a paradigmatic and fascinating example of self-organized motion at large scales occurring in active matter. We employ massive hydrodynamic simulations of suspensions of resolved model microswimmers to tackle the…

Soft Condensed Matter · Physics 2025-03-18 Antonio Gascó , Ignacio Pagonabarraga , Andrea Scagliarini
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