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Related papers: Interface Width and Bulk Stability: requirements f…

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The structure of liquid water in the proximity of an interface can deviate significantly from that of bulk water, with surface-induced structural perturbations typically converging to bulk values at about ~1 nm from the interface. While…

Soft Condensed Matter · Physics 2022-03-01 Piero Gasparotto , Martin Fitzner , Stephen J. Cox , Gabriele Cesare Sosso , Angelos Michaelides

In this work, a thermodynamically consistent and conservative diffuse-interface model for gas-liquid-solid multiphase flows is proposed. In this model, a novel free energy for the gas-liquid-solid multiphase flows is established according…

Fluid Dynamics · Physics 2025-04-09 Chengjie Zhan , Xi Liu , Zhenhua Chai , Baochang Shi

Generative models based on invertible transformations provide a physics-aware route to sample equilibrium configurations directly from the Boltzmann distribution, enabling efficient exploration of complex thermodynamic landscapes. Here, we…

Statistical Mechanics · Physics 2026-03-06 Luigi de Santis , John Russo , Andrea Ninarello

A statistical mechanics theory for a fluid stratified in density is presented. The predicted statistical equilibrium state is the most probable outcome of turbulent stirring. The slow temporal evolution of the vertical density profile is…

Fluid Dynamics · Physics 2014-09-23 Antoine Venaille , Louis Gostiaux , Joël Sommeria

A detailed analysis is presented to demonstrate the capabilities of the lattice Boltzmann method. Thorough comparisons with other numerical solutions for the two-dimensional, driven cavity flow show that the lattice Boltzmann method gives…

comp-gas · Physics 2009-10-22 Shuling Hou , Qisu Zou , Shiyi Chen , Gary D. Doolen , Allen C. Cogley

We prove existence of weak solutions for a diffuse interface model for the flow of two viscous incompressible Newtonian fluids in a bounded domain in two and three space dimensions. In contrast to previous works, we study a new model…

Analysis of PDEs · Mathematics 2015-06-03 Helmut Abels , Daniel Depner , Harald Garcke

We examine the applicability of various model profiles for the liquid/vapor interface by X-ray reflectivities on water and ethanol and their mixtures at room temperature. Analysis of the X-ray reflecivities using various density profiles…

Soft Condensed Matter · Physics 2014-04-30 Wei Bu , Doseok Kim , David Vaknin

We present a direct comparison between interface-resolved and one-way-coupled point-particle direct numerical simulations (DNS) of gravity-free turbulent channel flow laden with small inertial particles, with high particle-to-fluid density…

Fluid Dynamics · Physics 2024-07-26 Pedro Costa , Luca Brandt , Francesco Picano

Hypothesis A prototypical modelling approach is required for a full characterisation of the static and equilibrium dynamical properties of confined ionic liquids (ILs), in order to gain predictive power of properties that are difficult to…

Substructure in the interstellar medium (ISM) is crucial for establishing the correlation between star formation and feedback and has the capacity to significantly perturb stellar orbits, thus playing a central role in galaxy dynamics and…

Astrophysics of Galaxies · Physics 2026-02-06 Shaunak Modak , Eve C. Ostriker , Chris Hamilton , Scott Tremaine

The localized artificial diffusivity (LAD) method is widely regarded as the preferred multi-material regularization scheme for the compact finite difference method, because it is conservative, easy to implement, and generally robust for a…

Fluid Dynamics · Physics 2025-08-29 Steven R. Brill , Britton J. Olson , Guillaume T. Bokman

Using a recently introduced tensor network method, we study the density of states of the lattice Schwinger model, a standard testbench for lattice gauge theory numerical techniques, but also the object of recent experimental quantum…

High Energy Physics - Lattice · Physics 2021-08-04 Irene Papaefstathiou , Daniel Robaina , J. Ignacio Cirac , Mari Carmen Bañuls

From the Navier-Stokes-Korteweg (NSK) equations, the exact relations between the fundamental surface physical quantities for two-phase viscous flow with diffuse interface are derived, including density gradient, shear stress, vorticity,…

Fluid Dynamics · Physics 2022-12-21 Tao Chen , Tianshu Liu

We present here a survey of recent results concerning the mathematical analysis of instabilities of the interface between two incompressible, non viscous, fluids of constant density and vorticity concentrated on the interface. This…

Analysis of PDEs · Mathematics 2010-05-31 Claude Bardos , David Lannes

We introduce a lattice Boltzmann for simulating an immiscible binary fluid mixture. Our collision rules are derived from a macroscopic thermodynamic description of the fluid in a way motivated by the Cahn-Hilliard approach to…

comp-gas · Physics 2009-10-28 Enzo Orlandini , Michael R. Swift , J. M. Yeomans

Numerical heat and mass transfer analysis of a configuration where a cool liquid hydrocarbon is suddenly introduced to a hotter gas at supercritical pressure shows that a well-defined phase equilibrium can be established before substantial…

Fluid Dynamics · Physics 2022-04-25 Jordi Poblador-Ibanez , William A. Sirignano

We use a path integral approach to calculate the superfluid density of a Bose lattice gas in the limit where the number of atoms per site is large. Our analytical expressions agree with numerical results on small systems for low…

Quantum Gases · Physics 2012-09-13 Yariv Yanay , Erich J Mueller

We introduce and investigate the stochastic dynamics of the density of local extrema (minima and maxima) of non-equilibrium surface fluctuations. We give a number of exact, analytic results for interface fluctuations described by linear…

Statistical Mechanics · Physics 2009-10-31 Z. Toroczkai , G. Korniss , S. Das Sarma , R. K. P. Zia

A GPU-accelerated version of the lattice Boltzmann method for efficient simulation of soft materials is introduced. Unlike standard approaches, this method reconstructs the distribution functions from available hydrodynamic variables…

A general derivation is proposed for several boundary conditions arisen in the lattice Boltzmann simulations of various physical problems. Pair-wise moment conservations are proposed to enforce the boundary conditions with given macroscopic…

Computational Physics · Physics 2025-10-16 Jun Li , Wai Hong Ronald Chan , Zhe Feng , Chenglei Wang