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Stable colloidal dispersions with evenly distributed particles are important for many technological applications. Due to Brownian motion colloidal particles have constant collisions with each other which often lead to their aggregation…

Soft Condensed Matter · Physics 2020-10-19 Alexey A. Shvets

We investigate the time evolution of a model system of interacting particles, moving in a $d$-dimensional torus. The microscopic dynamics are first order in time with velocities set equal to the negative gradient of a potential energy term…

Statistical Mechanics · Physics 2018-02-12 Paolo Butta` , Joel L. Lebowitz

We consider systems of particles coupled with fluids. The particles are described by the evolution of their density, and the fluid is described by the Navier-Stokes equations. The particles add stress to the fluid and the fluid carries and…

Analysis of PDEs · Mathematics 2009-11-11 Peter Constantin , Charles Fefferman , Edriss Titi , Arghir Zarnescu

We develop a microscopic approach to the kinetic theory of many-particle systems with dissipative and potential interactions in presence of active fluctuations. The approach is based on a generalization of Bogolyubov--Peletminsky reduced…

Statistical Mechanics · Physics 2016-12-13 Yu. V. Slyusarenko , O. Yu. Sliusarenko , A. V. Chechkin

We study dynamical behaviors of one-dimensional stochastic lattice gases with repulsive interactions whose span can be arbitrary large. We endow the system with a zero-temperature dynamics, so that the hops to empty sites which would have…

Statistical Mechanics · Physics 2015-06-15 P. L. Krapivsky

General self-consistent expressions for the coefficients of diffusion and dynamical friction in a stable, bound, multicomponent self-gravitating and inhomogeneous system are derived. They account for the detailed dynamics of the colliding…

Astrophysics of Galaxies · Physics 2017-06-20 Jean Heyvaerts , Jean-Baptiste Fouvry , Pierre-Henri Chavanis , Christophe Pichon

Designing microscopic and nanoscopic self-propelled particles and characterising their motion has become a major scientific challenge over the past decades. To this purpose, phoretic effects, namely propulsion mechanisms relying on local…

Soft Condensed Matter · Physics 2021-04-09 Pierre Illien , Ramin Golestanian , Ayusman Sen

Self-diffusiophoretic particles exploit local concentration gradients of a solute species in order to self-propel at the micron scale. While an isolated chemically- and geometrically-isotropic particle cannot swim, we show that it can…

Soft Condensed Matter · Physics 2018-06-12 Akhil Varma , Thomas D. Montenegro-Johnson , Sebastien Michelin

Phase separation in a low-density gas-like phase and a high-density liquid-like one is a common trait of biological and synthetic self-propelling particles' systems. The competition between motility and stochastic forces is assumed to fix…

Soft Condensed Matter · Physics 2020-04-15 Pin Nie , Joyjit Chattoraj , Antonio Piscitelli , Patrick Doyle , Ran Ni , Massimo Pica Ciamarra

We study dynamic self-organisation and order-disorder transitions in a two-dimensional system of self-propelled particles. Our model is a variation of the Vicsek model, where particles align the motion to their neighbours but repel each…

Statistical Mechanics · Physics 2013-05-02 Maksym Romenskyy , Vladimir Lobaskin

Turbulent flows in the solar wind, large scale current sheets, multiple current sheets, and shock waves lead to the formation of environments in which a dense network of current sheets is established and sustains "turbulent reconnection".…

Solar and Stellar Astrophysics · Physics 2016-08-17 Loukas Vlahos , Theophilos Pisokas , Heinz Isliker , Vassilios Tsiolis , Anastasios Anastasiadis

We develop a new model, to our knowledge, for the many-body hydrodynamics of amphiphilic Janus particles suspended in a viscous background flow. The Janus particles interact through a hydrophobic attraction potential that leads to…

Soft Condensed Matter · Physics 2021-10-05 Szu-Pei Fu , Bryan Quaife , Rolf Ryham , Yuan-Nan Young

We study coarse-grained density fluctuations in the disordered phase of the paradigmatic Vicsek-like models of self-propelled particles with alignment interactions and random self-propulsion velocities. By numerically integrating a…

Statistical Mechanics · Physics 2019-05-20 Subhadip Chakraborti , Punyabrata Pradhan

We consider a system of two reaction-diffusion-advection equations describing the one dimensional directed motion of particles with superimposed diffusion and mutual alignment. For this system we show the existence of traveling wave…

Analysis of PDEs · Mathematics 2021-01-19 Heinrich Freistühler , Jan Fuhrmann

We classify the interactions between self-propelled particles moving at a constant speed from symmetry considerations. We establish a systematic expansion for the two-body forces in the spirit of a multipolar expansion. This formulation…

Soft Condensed Matter · Physics 2014-04-24 Jean-Baptiste Caussin , Denis Bartolo

Self-chemophoresis is an appealing and quite successful interpretation of the motility exhibited by certain chemically active colloidal particles suspended in a solution of their "fuel": the particle has a phoretic response to…

Soft Condensed Matter · Physics 2026-01-06 Alvaro Domínguez , Mihail N. Popescu

We develop and study the hydrodynamic theory of flocking with autochemotaxis. This describes large collections of self-propelled entities all spontaneously moving in the same direction, each emitting a substance which attracts the others…

Soft Condensed Matter · Physics 2024-01-19 Maxx Miller , John Toner

We derive quantitative estimates for large stochastic systems of interacting particles perturbed by both idiosyncratic and environmental noises, as well as singular kernels. We prove that the (mollified) empirical process converges to the…

Probability · Mathematics 2024-12-20 Josué Knorst , Christian Olivera , Alexandre B. de Souza

There has been recent interest in the relaxational modes of small-scale fully connected systems of aligning self-propelled particles (Spera et al., Phys. Rev. Lett. {\bf 132}: 078301 (2024)). We revisit the classical connection between…

Statistical Mechanics · Physics 2026-03-25 Tara Steinhöfel , Horst-Holger Boltz , Thomas Ihle

We present an analytical calculation of the hydrodynamic interaction between two spherical particles near an elastic interface such as a cell membrane. The theory predicts the frequency dependent self- and pair-mobilities accounting for the…

Fluid Dynamics · Physics 2016-08-03 Abdallah Daddi-Moussa-Ider , Stephan Gekle
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