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A slowly-varying or thin-layer multiscale assumption empowers macroscale understanding of many physical scenarios from dispersion in pipes and rivers, including beams, shells, and the modulation of nonlinear waves, to homogenisation of…

动力系统 · 数学 2020-01-22 A. J. Roberts

We propose to model the dissipative hydrodynamics used in description of the multiparticle production processes ($d$-hydrodynamics) by a special kind of the perfect nonextensive fluid ($q$-fluid) where $q$ denotes the nonextensivity…

高能物理 - 唯象学 · 物理学 2008-12-23 Takeshi Osada , Grzegorz Wilk

We consider here a discrete system of spheres interacting through a lubrication force. This force is dissipative, and singular near contact: it behaves like the reciprocal of interparticle distance. We propose a macroscopic constitutive…

偏微分方程分析 · 数学 2012-09-06 Aline Lefebvre-Lepot , Bertrand Maury , Aline Lefebvre

The structure and degree of order in soft matter and other materials is intimately connected to the nature of the interactions between the particles. One important research goal is to find suitable control mechanisms, to enhance or suppress…

软凝聚态物质 · 物理学 2020-09-16 A. Scacchi , M. G. Mazza , A. J. Archer

A model is presented for the characterization of dissipative effects on highly nonlinear waves in one-dimensional dry granular media. The model includes three terms: Hertzian, viscoelastic, and a term proportional to the square of the…

软凝聚态物质 · 物理学 2015-05-18 Lautaro Vergara

Aligning self-propelled particles undergo a nonequilibrium flocking transition from apolar to polar phases as their interactions become stronger. We propose a thermodynamically consistent lattice model, in which the internal state of the…

We present a mode-coupling theory for the dynamics of a tagged particle in a driven granular fluid close to the glass transition. The mean-squared displacement is shown to exhibit a plateau indicating structural arrest. In contrast to…

统计力学 · 物理学 2012-11-20 Matthias Sperl , Wolf Till Kranz , Annette Zippelius

When an ensemble of particles interact hydrodynamically, they generically display large-scale transient structures such as swirls in sedimenting particles [1], or colloidal strings in sheared suspensions [2]. Understanding these…

软凝聚态物质 · 物理学 2013-01-24 Nicolas Desreumaux , Jean-Baptiste Caussin , Raphael Jeanneret , Eric Lauga , Denis Bartolo

The paper concerns the construction of a compressible liquid-vapor relaxation model which is able to capture the metastable states of the non isothermal van der Waals model as well as saturation states. Starting from the Gibbs formalism, we…

偏微分方程分析 · 数学 2019-11-01 Hala Ghazi , Francois James , Hélène Mathis

A multiscale theory of interacting continuum mechanics and thermodynamics of mixtures of fluids, electrodynamics, polarization and magnetization is proposed. The mechanical (reversible) part of the theory is constructed in a purely…

经典物理 · 物理学 2020-08-26 Petr Vagner , Michal Pavelka , Ogul Esen

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…

统计力学 · 物理学 2018-02-12 Paolo Butta` , Joel L. Lebowitz

Molecules at the air-water interface often form inhomogeneous layers in which domains of different densities are separated by sharp interfaces. Complex interfacial pattern formation may occur through the competition of short- and long-range…

patt-sol · 物理学 2009-10-30 David K. Lubensky , Raymond E. Goldstein

The study of interactions between biomimetic membranes and micron-sized particles is crucial for understanding various biological processes. Here, we control microparticle spontaneous engulfment by giant lipid vesicles by tuning particle…

软凝聚态物质 · 物理学 2025-01-22 Clément Marque , Gaetano D'Avino , Domenico Larobina , Aude Michel , Ali Abou-Hassan , Antonio Stocco

The phase behavior of a system composed of spherical particles with a monomodal size distribution is investigated theoretically within the context of the van der Waals approximation for polydisperse fluids. It is shown how the binodals,…

统计力学 · 物理学 2009-10-31 L. Bellier-Castella , H. Xu , M. Baus

We present a mesoscopic model of the fluid-wall interactions for flows in microchannel geometries. We define a suitable implementation of the boundary conditions for a discrete version of the Boltzmann equations describing a wall-bounded…

混沌动力学 · 物理学 2007-06-13 R. Benzi , L. Biferale , M. Sbragaglia , S. Succi , F. Toschi

This article deals with the issues of global-in-time existence and asymptotic analysis of a fluid-particle interaction model in the so-called bubbling regime. The mixture occupies the physical space $\Omega \subset \mathbb{R}^3$ which may…

偏微分方程分析 · 数学 2010-06-16 Jose A. Carrillo , Trygve Karper , Konstantina Trivisa

In this paper we study the well-posedness and long-time dynamics of a diffuse-interface model for the mixture of two viscous incompressible Newtonian fluids with thermo-induced Marangoni effects. The governing system consists of modified…

偏微分方程分析 · 数学 2013-02-26 Hao Wu , Xiang Xu

We cope with a free boundary fluid-structure interaction model. In the model, the viscous incompressible fluid interacts with elastic body via the common boundary. The motion of the fluid is governed by Navier-Stokes equations while the…

偏微分方程分析 · 数学 2019-02-19 Yizhao Qin , Pengfei Yao

We consider a general framework for multi-type interacting particle systems on graphs, where particles move one at a time by random walk steps, different types may have different speeds, and may interact, possibly randomly, when they meet.…

概率论 · 数学 2025-05-15 John Haslegrave , Peter Keevash

We present a theoretical study of wetting phenomena and interactions between liquid-vapor interfaces based on the density functional theory. The focus is mostly on the impact of long-range van der Waals interactions both within the fluid…

化学物理 · 物理学 2011-11-10 Arik Yochelis , Len M. Pismen