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The fate of small particles in turbulent flows depends strongly on the surrounding fluid's velocity gradient properties such as rotation and strain-rates. For non-inertial (fluid) particles, the Restricted Euler model provides a simple,…

Fluid Dynamics · Physics 2017-04-05 Perry L. Johnson , Charles Meneveau

The influence of a magnetic field applied perpendicularly to the plane of a quasi two dimensional, low density classical Coulomb gas, with interparticle potential U of r as 1 over r, is studied using momentum conserving dissipative particle…

Mesoscale and Nanoscale Physics · Physics 2023-12-18 J. D. Hernández Velázquez , Z. Nussinov , A. Gama Goicochea

We consider the flow of two viscous and incompressible fluids within a bounded domain modeled by means of a two-phase Navier-Stokes system. The two fluids are assumed to be immiscible, meaning that they are separated by an interface. With…

Analysis of PDEs · Mathematics 2022-08-24 Sebastian Hensel , Alice Marveggio

Methods for studying droplets in models with quenched disorder are critically examined. Low energy excitations in two dimensional models are investigated by finding minimal energy interior excitations and by computing the effect of bulk…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Alan Middleton

We consider the compressible Vlasov-Poisson-Fokker-Planck-Navier-Stokes system in a three dimensional bounded domain with nonhomogeneous Dirichlet boundary conditions. The system describes the evolution of charged particles ensemble…

Analysis of PDEs · Mathematics 2023-01-04 Li Chen , Fucai Li , Yue Li , Nicola Zamponi

Strong correlations between equilibrium fluctuations of the configurational parts of pressure and energy are found in the Lennard-Jones liquid and other simple liquids, but not in hydrogen-bonding liquids like methanol and water. The…

Statistical Mechanics · Physics 2009-11-13 Ulf R. Pedersen , Nicholas Bailey , Thomas B. Schrøder , Jeppe C. Dyre

In order to improve the teaching of the course of statistical physics in universities, in this article we introduce nonextensive statistics, a new statistical theory about complex systems. We study the two modification coefficients a and b…

General Physics · Physics 2018-09-12 Lining Zheng , Jiulin Du

The process of interaction between nonlinear waves on a free surface of a nonconducting fluid in a strong tangential electric field is simulated numerically (effects of the force of gravity and capillarity are neglected). It is shown that…

Fluid Dynamics · Physics 2019-01-29 Evgeny A. Kochurin

The thermodynamical model of visco-elastic deformable solids at finite strains is formulated in a fully Eulerian way in rates. Also effects of thermal expansion or buoyancy due to evolving mass density in a gravity field are covered. The…

Analysis of PDEs · Mathematics 2023-09-14 Tomáš Roubíček

The formation of a singularity in a compressible gas, as described by the Euler equation, is characterized by the steepening, and eventual overturning of a wave. Using a self-similar description in two space dimensions, we show that the…

Fluid Dynamics · Physics 2017-05-24 J. Eggers , T. Grava , M. A. Herrada , G. Pitton

The existence of proper weak solutions of the Dirichlet-Cauchy problem constituted by the Navier-Stokes-Fourier system which characterizes the incompressible homogeneous Newtonian fluids under thermal effects is studied. We call proper weak…

Analysis of PDEs · Mathematics 2020-01-22 Luisa Consiglieri

A calculation of the inelastic scattering rate of Xe atoms on Cu(111) is presented. We focus in the regimes of low and intermediate velocities, where the energy loss is mainly associated to the excitation electron-hole pairs in the…

Materials Science · Physics 2007-05-23 Maider Machado , Daniel Sanchez-Portal

A thermodynamic phase transition denotes a drastic change of state of a physical system due to a continuous change of thermodynamic variables, as for instance pressure and temperature. The classical van der Waals equation of state is the…

Mathematical Physics · Physics 2015-06-16 Antonio Moro

The hydrodynamics for a gas of hard-spheres which sometimes experience inelastic collisions resulting in the loss of a fixed, velocity-independent, amount of energy $\Delta $ is investigated with the goal of understanding the coupling…

Soft Condensed Matter · Physics 2007-05-23 James F. Lutsko

Measuring the rheology of liquids typically requires precise control over shear rates and stresses. Here, we describe an alternative route for predicting the characteristic features of a power-law fluid by simply observing the capillary…

Fluid Dynamics · Physics 2025-07-11 Marcel Moura , Vanessa Kern , Knut Jørgen Måløy , Andreas Carlson , Eirik G. Flekkøy

In this paper, we investigate the well-posedness of weak solutions to the time-fractional Fokker-Planck equation. Its dynamics is governed by anomalous diffusion, and we consider the most general case of space-time dependent forces.…

Analysis of PDEs · Mathematics 2023-08-01 Marvin Fritz

We study stationary solutions to the continuity equation for weakly compressible flows. These describe non-equilibrium steady states of weakly dissipative dynamical systems. Compressibility is a singular perturbation that changes the steady…

Chaotic Dynamics · Physics 2010-09-14 Itzhak Fouxon

As was recently shown in Ref. 1, many eigenstates of a random Rydberg gas with resonant dipole-dipole interactions are highly delocalized. Although the high degree of delocalization is generic to various types of power-law interactions and…

Atomic Physics · Physics 2020-06-24 Ghassan Abumwis , Matthew T. Eiles , Alexander Eisfeld

We derive the 1D isentropic Euler and Navier-Stokes equations describing the motion of a gas through a nozzle of variable cross section as the asymptotic limit of the 3D isentropic Navier-Stokes system in a cylinder, the diameter of which…

Analysis of PDEs · Mathematics 2015-11-20 Peter Bella , Eduard Feireisl , Marta Lewicka , Antonin Novotny

We study an asymptotic analysis of a coupled system of kinetic and fluid equations. More precisely, we deal with the nonlinear Vlasov-Fokker-Planck equation coupled with the compressible isentropic Navier-Stokes system through a drag force…

Analysis of PDEs · Mathematics 2020-06-18 Young-Pil Choi , Jinwook Jung