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In a recent class of phase field crystal (PFC) models, the density order parameter is coupled to powers of its mean field. This effectively introduces a phenomenology of higher-order direct correlation functions acting on long wavelengths,…

Materials Science · Physics 2024-08-21 Daniel L. Coelho , Duncan Burns , Emily Wilson , Nikolas Provatas

Using thermodynamic and variational principles we examine a basic phase field model for a mixture of two incompressible fluids in strongly perforated domains. With the help of the multiple scale method with drift and our recently introduced…

Mathematical Physics · Physics 2013-11-22 Markus Schmuck , Marc Pradas , Gregorios A. Pavliotis , Serafim Kalliadasis

A diffuse interface model for surfactants in multi-phase flow with three or more fluids is derived. A system of Cahn-Hilliard equations is coupled with a Navier-Stokes system and an advection-diffusion equation for the surfactant ensuring…

Numerical Analysis · Mathematics 2018-10-30 Oliver R. A. Dunbar , Kei Fong Lam , Bjorn Stinner

The paper deals with the description of particle deposition on walls from a turbulent flow over a large range of particle diameter, using a Langevin PDF model. The first aim of the work is to test how the present Langevin model is able to…

Fluid Dynamics · Physics 2008-06-27 Sergio Chibbaro , Jean-Pierre Minier

In this paper we consider a nonlinear stochastic approach to the description of quantum systems. It is shown that a possibility to derive quantum properties - spectrum quantization, zero point positive energy and uncertainty relations,…

Chaotic Dynamics · Physics 2015-03-05 Sergey Kamenshchikov

A millimetre-size superhydrophobic sphere impacting on the free surface of a quiescent bath can be propelled back into the air by capillary effects and dynamic fluid forces, whilst transferring part of its energy to the fluid. We report the…

We present here first-of-a-kind experimental measurements of the flow field around a swimming water droplet, using confocal PIV in three dimensions. The droplet is denser than the continuous oil phase, and swims close and parallel to the…

Fluid Dynamics · Physics 2019-10-22 Charlotte de Blois , Mathilde Reyssat , Sebastien Michelin , Olivier Dauchot

A theoretical description for the radial density profile of a finite number of identical charged particles confined in a harmonic trap is developed for application over a wide range of Coulomb coupling (or, equivalently, temperatures) and…

Statistical Mechanics · Physics 2015-05-14 J. Wrighton , J. W. Dufty , H. Kählert , M. Bonitz

We study thermodynamic and structural properties of a Lennard-Jones liquid at a state very close to the triple point as the radius of a hard sphere solute is varied. Oscillatory profiles arise for small, molecular sized radii while for…

Statistical Mechanics · Physics 2007-05-23 Kirill Katsov , John D. Weeks

A simple fluid, described by point-like particles interacting via the Lennard-Jones potential, is considered under confinement in a slit geometry between two walls at distance Lz apart for densities inside the vapor-liquid coexistence…

Soft Condensed Matter · Physics 2009-11-13 Katarzyna Bucior , Leonid Yelash , Kurt Binder

A phase--field method is applied to the modeling of flow and breakup of droplets in a T--shaped junction in the hydrodynamic regime where capillary and viscous stresses dominate over inertial forces, which is characteristic of microfluidic…

Soft Condensed Matter · Physics 2009-11-11 Mario De Menech

We present the first numerical simulations of the symmetric--hyperbolic theory for conformal dissipative relativistic fluids developed in [1]. In this theory, the information of the fluid dynamics is encoded in a scalar generating function…

General Relativity and Quantum Cosmology · Physics 2023-05-26 Pablo Montes , Marcelo E. Rubio , Oscar A. Reula

A new formulation of statistical mechanics is put forward according to which a random variable characterizing a macroscopic body is postulated to be infinitely divisible. It leads to a parametric representation of partition function of an…

Mathematical Physics · Physics 2008-11-06 E. D. Belokolos

A numerical solution of Einstein field equations for a spherical symmetric and stationary system of identical and auto-gravitating particles in phase transition is presented. The fluid possess a perfect fluid energy momentum tensor, and the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jose D. Polanco , Patricio S. Letelier , Maximiliano Ujevic

The capillary condensation for fluids into spherical nano-cavities is analyzed within the frame of two theoretical approaches. One description is based on a widely used simplified version of the droplet model formulated for studying atomic…

Soft Condensed Matter · Physics 2007-05-23 Ignacio Urrutia , Leszek Szybisz

Strongly correlated amorphous solids are a class of glass-formers whose inter-particle potential admits an approximate inverse power-law form in a relevant range of inter-particle distances. We study the steady-state plastic flow of such…

Materials Science · Physics 2015-05-13 Edan Lerner , Itamar Procaccia

The Barker-Henderson perturbation theory is a bedrock of liquid-state physics, providing quantitative predictions for the bulk thermodynamic properties of realistic model systems. However, this successful method has not been exploited for…

Soft Condensed Matter · Physics 2020-11-03 S. M. Tschopp , H. D. Vuijk , A. Sharma , J. M. Brader

Active phase separations evade canonical thermodynamic descriptions and have thus challenged our understanding of coexistence and interfacial phenomena. Considerable progress has been made towards a non-equilibrium theoretical description…

Soft Condensed Matter · Physics 2025-04-21 Luke Langford , Ahmad K. Omar

An analytical solution for the out-of-equilibrium quasi-stationary states of the paradigmatic Hamiltonian Mean Field (HMF) model can be obtained from a maximum entropy principle. The theory has been so far tested with reference to a…

Statistical Mechanics · Physics 2012-04-17 Mallbor Assllani , Duccio Fanelli , Alessio Turchi , Timoteo Carletti , Xavier Leoncini

We consider a model for flow of liquid and gas in a pipe. We assume that the gas is ideal and that the liquid is incompressible. Under this assumption the resulting equations, expressing conservation of mass and momentum, splits into two…

Numerical Analysis · Mathematics 2019-10-15 Nils Henrik Risebro , Adrian Montgomery Ruf
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