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We study how hydrodynamic interactions affect the collective behaviour of active particles suspended in a fluid at high concentrations, with particular attention to lubrication forces which appear when the particles are very close to one…

Soft Condensed Matter · Physics 2018-05-29 Natsuhiko Yoshinaga , Tanniemola B. Liverpool

This essay provides a critical overview of the mathematical kinetic theory of active particles, which is used to model and study collective systems consisting of interacting living entities, such as those involved in behavior and evolution.…

Physics and Society · Physics 2025-10-17 Marina Dolfin , Leone Leonida

A density functional theory for colloidal dynamics is presented which includes hydrodynamic interactions between the colloidal particles. The theory is applied to the dynamics of colloidal particles in an optical trap which switches…

Soft Condensed Matter · Physics 2009-11-13 M. Rex , H. Loewen

In this article, we describe the instability of a contact line under nonequilibrium conditions mainly based on the results of our recent studies. Two experimental examples are presented: the self-propelled motion of a liquid droplet and…

Fluid Dynamics · Physics 2012-08-23 Yong-Jun Chen , Kenichi Yoshikawa

A wide range of non-equilibrium phenomena in nature involve non-reciprocal interactions. To understand the novel behaviors that can emerge in such systems, finding tractable models is essential. With this goal, we introduce a non-reciprocal…

Statistical Mechanics · Physics 2024-11-04 Gabriel Weiderpass , Mayur Sharma , Savdeep Sethi

The hallmark of active matter is the autonomous directed motion of its microscopic constituents driven by consumption of energy resources. This leads to the emergence of large scale dynamics and structures without any equilibrium…

Statistical Mechanics · Physics 2021-06-22 Tomer Markovich , Étienne Fodor , Elsen Tjhung , Michael E. Cates

We study a process of pattern formation for a generic model of species anchored to the nodes of a network where local reactions take place, and that experience non-reciprocal long-range interactions, encoded by the network directed links.…

Pattern Formation and Solitons · Physics 2025-10-22 Timoteo Carletti , Riccardo Muolo

Non-reciprocal interactions play a key role in shaping transport in active and passive systems, giving rise to striking nonequilibrium behavior. Here, we study the dynamics of a tracer -- active or passive -- embedded in a bath of active or…

Statistical Mechanics · Physics 2026-01-08 Subhajit Paul , Debasish Chaudhuri

A thermodynamically consistent particle-based model for fluid dynamics with continuous velocities and a non-ideal equation of state is presented. Excluded volume interactions are modeled by means of biased stochastic multiparticle…

Soft Condensed Matter · Physics 2009-11-11 Thomas Ihle , Erkan Tuzel , Daniel M. Kroll

We study a system of self-propelled particles which interact with their neighbors via alignment and repulsion. The particle velocities result from self-propulsion and repulsion by close neighbors. The direction of self-propulsion is…

Mathematical Physics · Physics 2014-04-22 Pierre Degond , Giacomo Dimarco , Thi Bich Ngoc Mac , Nan Wang

Nonreciprocal interactions, in which action-reaction symmetry is broken, provide a powerful route to collective dynamics that cannot be captured by equilibrium free-energy minimisation. Here, we introduce and analyse a two-species…

Statistical Mechanics · Physics 2026-05-11 Arjun R , Pratyush Prakash Patra , A. V. Anil Kumar

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

Phase separation routinely occurs in both living and synthetic systems. These phases are often complex and distinguished by features including crystallinity, nematic order, and a host of other nonconserved order parameters. For systems at…

Statistical Mechanics · Physics 2025-12-08 Daniel Evans , Ahmad K. Omar

Motility and nonreciprocity are two primary mechanisms for self-organization in active matter. In a recent study [Phys. Rev. Lett. 131, 148301 (2023)], we explored their joint influence in a minimal model of two-species quorum-sensing…

Soft Condensed Matter · Physics 2025-04-15 Yu Duan , Jaime Agudo-Canalejo , Ramin Golestanian , Benoît Mahault

Transport is one of the most important physical processes in all energy and length scales. Ideal gases and hydrodynamics are, respectively, two opposite limits of transport. Here, we present an unexpected mathematical connection between…

Quantum Gases · Physics 2021-12-13 Zhe-Yu Shi , Chao Gao , Hui Zhai

The climate system is a forced, dissipative, nonlinear, complex and heterogeneous system that is out of thermodynamic equilibrium. The system exhibits natural variability on many scales of motion, in time as well as space, and it is subject…

Atmospheric and Oceanic Physics · Physics 2020-08-05 Michael Ghil , Valerio Lucarini

Identifying universal properties of non-equilibrium quantum states is a major challenge in modern physics. A fascinating prediction is that classical hydrodynamics emerges universally in the evolution of any interacting quantum system.…

Quantum Physics · Physics 2024-12-03 M. K. Joshi , F. Kranzl , A. Schuckert , I. Lovas , C. Maier , R. Blatt , M. Knap , C. F. Roos

We obtain the hydrodynamic limit of one-dimensional interacting particle systems describing the macroscopic evolution of the density of mass in infinite volume from the microscopic dynamics. The processes are weak pertubations of the…

Probability · Mathematics 2009-08-14 Glauco Valle

A system of active colloidal particles driven by harmonic potentials to oscillate about the vertices of a regular polygon, with hydrodynamic coupling between all particles, is described by a piece-wise linear model which exhibits various…

Statistical Mechanics · Physics 2013-05-30 Giovanni M. Cicuta , Enrico Onofri , Marco Cosentino Lagomarsino , Pietro Cicuta

Out of equilibrium, the lack of reciprocity is the rule rather than the exception. Non-reciprocal interactions occur, for instance, in networks of neurons, directional growth of interfaces, and synthetic active materials. While wave…

Soft Condensed Matter · Physics 2021-04-20 Michel Fruchart , Ryo Hanai , Peter B. Littlewood , Vincenzo Vitelli
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