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Consider the overdamped limit for a system of interacting particles in the presence of hydrodynamic interactions. For two-body hydrodynamic interactions and one- and two-body potentials, a Smoluchowski-type evolution equation is rigorously…

Mathematical Physics · Physics 2012-08-09 Benjamin D. Goddard , Grigorios A. Pavliotis , Serafim Kalliadasis

We introduce a one-dimensional stochastic system where particles perform independent diffusions and interact through pairwise coagulation events, which occur at a nontrivial rate upon collision. Under appropriate conditions on the diffusion…

Probability · Mathematics 2010-09-30 Inés Armendáriz

We theoretically study the transport properties of self-propelled particles on complex structures, such as motor proteins on filament networks. A general master equation formalism is developed to investigate the persistent motion of…

Soft Condensed Matter · Physics 2014-09-19 M. Reza Shaebani , Zeinab Sadjadi , Igor M. Sokolov , Heiko Rieger , Ludger Santen

In this paper, we study a nonlinear system of first order partial differential equations describing the macroscopic behavior of an ensemble of interacting self-propelled rigid bodies. Such system may be relevant for the modelling of bird…

Analysis of PDEs · Mathematics 2022-10-31 Pierre Degond , Amic Frouvelle , Sara Merino-Aceituno , Ariane Trescases

Constraints can affect dramatically the behavior of diffusion processes. Recently, we analyzed a natural and a technological system and reported that they perform diffusion-like discrete steps displaying a peculiar constraint, whereby the…

Statistical Mechanics · Physics 2014-09-23 Salvatore Mandrà , Marco Cosentino Lagomarsino , Marco Gherardi

A steady self-diffusion process in a gas of hard spheres at equilibrium is analyzed. The system exhibits a constant gradient of labeled particles. Neither the concentration of these particles nor its gradient are assumed to be small. It is…

Statistical Mechanics · Physics 2015-06-17 J. Javier Brey , M. J. Ruiz-Montero

In this work we develop constitutive equations for a dense, sheared suspension of frictionally interacting rods by applying Onsager's variational method as formulated by Doi. We treat both solid friction, of the Amontons-Coulomb form; and…

Soft Condensed Matter · Physics 2025-12-25 Chris Quiñones , Peter D. Olmsted

We investigate finite-size effects on diffusion in confined fluids using molecular dynamics simulations and hydrodynamic calculations. Specifically, we consider a Lennard-Jones fluid in slit pores without slip at the interface and show that…

Computational Physics · Physics 2017-03-16 Pauline Simonnin , Benoit Noetinger , Carlos Nieto-Draghi , Virginie Marry , Benjamin Rotenberg

This paper is concerned with the derivation and analysis of hydrodynamic models for systems of self-propelled particles subject to alignment interaction and attraction-repulsion. The starting point is the kinetic model considered in earlier…

Fluid Dynamics · Physics 2014-04-08 Pierre Degond , Jian-Guo Liu , Sébastien Motsch , Vladislav Panferov

We discuss a dynamical theory for nematic liquid crystals describing the stage of evolution in which the hydrodynamic fluid motion has already equilibrated and the subsequent evolution proceeds via diffusive motion of the orientational…

Mathematical Physics · Physics 2014-03-04 Ibrahim Fatkullin , Valeriy Slastikov

Using event-driven molecular dynamics simulations, we quantify how the self diffusivity of confined hard-sphere fluids depends on the nature of the confining boundaries. We explore systems with featureless confining boundaries that treat…

Soft Condensed Matter · Physics 2015-05-30 William P. Krekelberg , Vincent K. Shen , Jeffrey R. Errington , Thomas M. Truskett

Growth of hard--rod monolayers via deposition is studied in a lattice model using rods with discrete orientations and in a continuum model with hard spherocylinders. The lattice model is treated with kinetic Monte Carlo simulations and…

Soft Condensed Matter · Physics 2017-04-05 M. Klopotek , H. Hansen-Goos , M. Dixit , T. Schilling , F. Schreiber , M. Oettel

We derive macroscopic dynamics for self-propelled particles in a fluid. The starting point is a coupled Vicsek-Stokes system. The Vicsek model describes self-propelled agents interacting through alignment. It provides a phenomenological…

Fluid Dynamics · Physics 2017-06-20 Pierre Degond , Sara Merino-Aceituno , Fabien Vergnet , Hui Yu

We study the two-dimensional motion of a self-propelling asymmetric bent rod. By employing slender body theory and the Lorentz reciprocal theorem, we determine particle trajectories for different geometric configurations and arbitrary…

Fluid Dynamics · Physics 2022-10-21 Arkava Ganguly , Ankur Gupta

We study by simulation and theory how the addition of insulating spherical particles affects the conductivity of fluids of conducting rods, modeled by spherocylinders. The electrical connections are implemented as tunneling processes,…

Soft Condensed Matter · Physics 2013-10-29 B. Nigro , C. Grimaldi , M. A. Miller , P. Ryser , T. Schilling

Motivated by a phenomenon of phase transition in a model of alignment of self-propelled particles, we obtain a kinetic mean-field equation which is nothing else than the Doi equation (also called Smoluchowski equation) with dipolar…

Analysis of PDEs · Mathematics 2013-01-18 Amic Frouvelle , Jian-Guo Liu

The dynamics of a stiff filament (made by connecting beads) embedded in size-polydisperse hard sphere fluid is investigated by means of molecular dynamics simulations with focus on how the degree of size-polydispersity, characterized by…

Soft Condensed Matter · Physics 2025-03-06 Thokchom Premkumar Meitei , Lenin S. Shagolsem

We study self-propelled particles with velocity reversal interacting by uniaxial (nematic) alignment within a coarse-grained hydrodynamic theory. Combining analytical and numerical continuation techniques, we show that the physics of this…

Statistical Mechanics · Physics 2016-11-30 Robert Großmann , Fernando Peruani , Markus Bär

The diffusion of finite-size hard-core interacting particles in two- or three-dimensional confined domains is considered in the limit that the confinement dimensions become comparable to the particle's dimensions. The result is a nonlinear…

Mathematical Physics · Physics 2017-03-23 Maria Bruna , S. Jonathan Chapman

This study presents an extension of the corrected Smagorinsky model, incorporating advanced techniques for error estimation and regularity analysis of far-from-equilibrium turbulent flows. A new formulation that increases the model's…

Fluid Dynamics · Physics 2024-11-11 Rômulo Damasclin Chaves dos Santos
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