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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…

Classical Physics · Physics 2020-08-26 Petr Vagner , Michal Pavelka , Ogul Esen

Path-integral molecular dynamics simulations based on density functional theory employing exchange-correlation density functionals capable of treating nonlocal van der Waals (vdW) interactions self-consistently provide a remarkably accurate…

Chemical Physics · Physics 2014-02-13 Jeffrey M. McMahon , Miguel A. Morales , Brian Kolb , Timo Thonhauser

The past decade or so has witnessed a large number of articles about water structure. The most incisive experiments involve radiation with a wavelength compatible with the observed inter-molecular separations found in water, of order $\sim…

Disordered Systems and Neural Networks · Physics 2014-11-06 Alan K. Soper

We develop a microscopic theory for the dynamics of quantum fluids of light, deriving an effective kinetic equation in momentum space that takes the form of the convection-diffusion equation. In the particular case of two-dimensional…

We introduce a rotation invariant short distance cut-off in the theory of an ideal fluid in three space dimensions, by requiring momenta to take values in a sphere. This leads to an algebra of functions in position space is non-commutative.…

Mathematical Physics · Physics 2016-09-08 S. G. Rajeev

We show that at any temperature, the low-energy (with respect to the chemical potential) collective excitations of the transverse components of the energy-momentum tensor and the global U(1) current in the field theory dual to the planar…

High Energy Physics - Theory · Physics 2013-07-11 Richard A. Davison , Andrei Parnachev

In this thesis, we develop a simple model potential for polar molecules that effectively and accurately represents the thermodynamics of dilute gases. This potential models dipolar interactions, with a nonpolar spherical component, as seen…

Statistical Mechanics · Physics 2023-12-01 Edgar Avalos

A lattice Boltzmann model is introduced which simulates oil-water-surfactant mixtures. The model is based on a Ginzburg-Landau free energy with two scalar order parameters. Diffusive and hydrodynamic transport is included. Results are…

Soft Condensed Matter · Physics 2009-10-31 A. Lamura , G. Gonnella , J. M. Yeomans

We model a microchannel cooling system and consider the optimization of its shape by means of shape calculus. A three-dimensional model covering all relevant physical effects and three reduced models are introduced. The latter are derived…

Optimization and Control · Mathematics 2025-10-14 Sebastian Blauth , Christian Leithäuser , René Pinnau

Thermodynamics, introduced over two centuries ago, remains foundational to our understanding of physical, chemical, biological, and engineering systems. Its principles are traditionally grounded in the statistical mechanics framework, which…

Chemical Physics · Physics 2025-06-30 Małgorzata J. Zimoń , Fausto Martelli

Unlike crystalline solids or ideal gases, transport properties remain difficult to describe from a microscopic point of view in liquids, whose dynamics result from complex energetic and entropic contributions at the atomic scale. Two…

Soft Condensed Matter · Physics 2022-08-16 Farid Rizk , Simon Gelin , Anne-Laure Biance , Laurent Joly

Swimming droplets are a class of active particles whose motility changes as a function of time due to shrinkage and self-avoidance of their trail. Here we combine experiments and theory to show that our non-Markovian droplet (NMD) model,…

Soft Condensed Matter · Physics 2024-05-17 Wenjun Chen , Adrien Izzet , Ruben Zakine , Eric Clément , Eric Vanden-Eijnden , Jasna Brujic

It is shown that the hydrodynamic modes of a dilute granular gas of inelastic hard spheres can be identified, and calculated in the long wavelength limit. Assuming they dominate at long times, formal expressions for the Navier-Stokes…

Statistical Mechanics · Physics 2009-11-10 J. Javier Brey , M. J. Ruiz-Montero , P. Maynar , I. Garcia de Soria

The GENERIC structure allows for a unified treatment of different discrete models of hydrodynamics. We first propose a finite volume Lagrangian discretization of the continuum equations of hydrodynamics through the Voronoi tessellation. We…

Statistical Mechanics · Physics 2007-05-23 Mar Serrano , Pep Español

Although liquid water has been studied for many decades by (X-ray and neutron) diffraction measurements, new experimental results keep appearing, virtually every year. The reason for this is that neither X-ray, nor neutron diffraction data…

Soft Condensed Matter · Physics 2016-02-25 Ildikó Pethes , László Pusztai

In this Letter, we present a simple model of aqueous interfacial molecular structure and we use this model to isolate the effects of hydrogen bonding on the dielectric properties of the liquid water-vapor interface. By comparing this model…

Soft Condensed Matter · Physics 2018-03-26 Sucheol Shin , Adam P. Willard

We extend our study of all-order linearly resummed hydrodynamics in a flat space~\cite{1406.7222,1409.3095} to fluids in weakly curved spaces. The underlying microscopic theory is a finite temperature $\mathcal{N}=4$ super-Yang-Mills theory…

High Energy Physics - Theory · Physics 2015-05-20 Yanyan Bu , Michael Lublinsky

The covalent-like characteristics of hydrogen bonds offer a new perspective on intermolecular interactions. Here, using density functional theory and post-Hartree-Fock methods, we reveal that there are two bonding molecular orbitals (MOs)…

Atomic and Molecular Clusters · Physics 2015-07-09 Bo Wang , Wanrun Jiang , Xing Dai , Yang Gao , Zhigang Wang , Rui-Qin Zhang

We develop a mesoscale computational model to describe the interaction of a droplet with a solid. The model is based on the hybrid combination of the immersed boundary and the lattice Boltzmann computational schemes: the former is used to…

Computation of gas dispersal in urban places or hilly grounds requires a large amount of computer time when addressed with conventional multidimensional models. Those are usually based on two-phase flow or Navier-Stokes equations. Different…

Analysis of PDEs · Mathematics 2021-01-13 Alexandre Chiapolino , Sébastien Courtiaud , Emmanuel Lapebie , Richard Saurel