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We present an isothermal fluctuating nonlinear hydrodynamic theory of crystallization in molecular liquids. A dynamic coarse-graining technique is used to derive the velocity field, a phenomenology, which allows a direct coupling between…

Materials Science · Physics 2013-10-15 Gyula I. Tóth , László Gránásy , György Tegze

Motivated by a number of recent experimental and computational studies of the dynamics of fluids plunged in quenched-disordered external fields, we report on a theoretical investigation of this topic within the framework of the…

Soft Condensed Matter · Physics 2018-10-05 Thomas Konincks , Vincent Krakoviack

A kind of fluid dynamic description for the collective movement of pedestrians is developed on the basis of a Boltzmann-like gaskinetic model. The differences between these pedestrian specific equations and those for ordinary fluids are…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

We show that one may view the self and the distinct part of the van Hove dynamic correlation function of a simple fluid as the one-body density distributions of a binary mixture that evolve in time according to dynamical density functional…

Soft Condensed Matter · Physics 2011-11-09 Andrew J. Archer , Paul Hopkins , Matthias Schmidt

We show how kinetic theory, the statistics of classical particles obeying Newtonian dynamics, can be formulated as a field theory. The field theory can be organized to produce a self-consistent perturbation theory expansion in an effective…

Statistical Mechanics · Physics 2015-06-03 Shankar P. Das , Gene F. Mazenko

We derive minimal discrete models of the Boltzmann equation consistent with equilibrium thermodynamics, and which recover correct hydrodynamics in arbitrary dimensions. A simple analytical procedure of constructing the equilibrium for the…

Condensed Matter · Physics 2009-11-07 Santosh Ansumali , Iliya V. Karlin , Hans Christian Öttinger

Classical Density Functional Theory (DFT) is a statistical-mechanical framework to analyze fluids, which accounts for nanoscale fluid inhomogeneities and non-local intermolecular interactions. DFT can be applied to a wide range of…

Computational Engineering, Finance, and Science · Computer Science 2017-02-07 Andreas Nold , Benjamin D. Goddard , Peter Yatsyshin , Nikos Savva , Serafim Kalliadasis

We introduce a finite-volume numerical scheme for solving stochastic gradient-flow equations. Such equations are of crucial importance within the framework of fluctuating hydrodynamics and dynamic density functional theory. Our proposed…

Recently, a minimal kinetic model for fluid flow, known as entropic lattice Boltzmann method, has been proposed for the simulation of isothermal hydrodynamic flows. At variance with previous Lattice Boltzmann methods, the entropic version…

Statistical Mechanics · Physics 2007-05-23 I. V. Karlin , S. Ansumali , E. DE Angelis , H. C. Öttinger , S. Succi

We propose and investigate general kinetic models %of Boltzmann type with transition probabilities that can describe the simultaneous change of multiple microscopic states of the interacting agents. These models can be applied to many…

Mathematical Physics · Physics 2023-02-23 Marzia Bisi , Nadia Loy

A new kinetic model for multiphase flow was presented under the framework of the discrete Boltzmann method (DBM). Significantly different from the previous DBM, a bottom-up approach was adopted in this model. The effects of molecular size…

Computational Physics · Physics 2022-03-24 Yudong Zhang , Aiguo Xu , Jingjiang Qiu , Hongtao Wei , Zung-Hang Wei

A simple 1D lattice gas model is presented, which very well describes the equilibrium and kinetic behaviors of water confined in a thin carbon nanotube found in an atomistic molecular dynamics(MD) simulation {[} Nature {\bf 414}, 188 (2001)…

Statistical Mechanics · Physics 2007-05-23 Xin Zhou , Cheng-Quan Li , Mitsumasa Iwamoto

Under many conditions, macroscopic grains flow like a fluid; kinetic theory pred icts continuum equations of motion for this granular fluid. In order to test the theory, we perform event driven molecular simulations of a two-dimensional gas…

Statistical Mechanics · Physics 2009-10-31 C. Bizon , M. D. Shattuck , J. B. Swift , Harry L. Swinney

We study compressible fluid flow in narrow two-dimensional channels using a novel molecular dynamics simulation method. In the simulation area, an upstream source is maintained at constant density and temperature while a downstream…

Condensed Matter · Physics 2009-10-22 M. Sun , C. Ebner

A density functional theory for colloidal dynamics is presented which includes hydrodynamic interactions between the colloidal particles. The theory is applied to the dynamics of colloidal particles in an optical trap which switches…

Soft Condensed Matter · Physics 2009-11-13 M. Rex , H. Loewen

We review recent experiments on dewetting thin films of evaporating colloidal nanoparticle suspensions (nanofluids) and discuss several theoretical approaches to describe the ongoing processes including coupled transport and phase changes.…

A model is presented for the solution of electrokinetic phenomena of colloidal suspensions in fluid mixtures. We solve the discrete Boltzmann equation with a BGK collision operator using the lattice Boltzmann method to simulate binary fluid…

Soft Condensed Matter · Physics 2018-05-09 Nicolas Rivas , Stefan Frijters , Ignacio Pagonabarraga , Jens Harting

We study the dynamics of the interface between two immiscible fluids in contact with a chemically homogeneous moving solid plate. We consider the generic case of two fluids with any viscosity ratio and of a plate moving in either directions…

Fluid Dynamics · Physics 2015-06-15 T. S. Chan , S. Srivastava , A. Marchand , B. Andreotti , L. Biferale , F. Toschi , J. H. Snoeijer

This study proposes the topology optimization method for moving rigid bodies subjected to forces from fluid flow, such as sails and turbines, with an unsteady time-dependent formulation. Unlike existing topology optimization frameworks in…

Fluid Dynamics · Physics 2026-01-27 Yuta Tanabe , Kentaro Yaji , Kuniharu Ushijima

In molecular dynamics simulations, nanochannel flows are usually driven by a constant force, that aims to represent a pressure difference between inlet and outlet, and periodic boundary conditions are applied in the streamwise direction…

Fluid Dynamics · Physics 2018-01-17 Vicente Bitrián , Javier Principe
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