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In this continuum theory, we propose a mathematical framework to study the mechanical interplay of bulk-surfaces materials undergoing deformation and phase segregation. To this end, we devise a principle of virtual powers with a…

Fluid Dynamics · Physics 2024-01-19 Anne Boschman , Luis Espath , Kris van der Zee

Over the last number of years several simulation methods have been introduced to study rare events such as nucleation. In this paper we examine the crystal nucleation rate of hard spheres using three such numerical techniques: molecular…

Soft Condensed Matter · Physics 2012-08-17 Laura Filion , Michiel Hermes , Ran Ni , Marjolein Dijkstra

We use supervised machine learning together with the concepts of classical density functional theory to investigate the effects of interparticle attraction on the pair structure, thermodynamics, bulk liquid-gas coexistence, and associated…

Soft Condensed Matter · Physics 2025-01-29 Florian Sammüller , Matthias Schmidt , Robert Evans

The rate of curvature-driven grain growth in polycrystalline materials is well-known to be limited by interface dissipation. We show analytically and by simulations that, for systems forming modulated phases or non-equilibrium patterns with…

Materials Science · Physics 2015-06-15 Ari Adland , Yechuan Xu , Alain Karma

We study the adsorption of a fluid in the grand canonical ensemble occurring at a planar heterogeneous wall which is decorated with a chemical stripe of width $L$. We suppose that the material of the stripe strongly preferentially adsorbs…

Statistical Mechanics · Physics 2017-08-30 Alexandr Malijevský , Andrew O. Parry , Martin Pospíšil

We present a continuum model describing dissolution and growth of a crystal contact confined against a substrate. Diffusion and hydrodynamics in the liquid film separating the crystal and the substrate are modeled within the lubrication…

Soft Condensed Matter · Physics 2018-01-31 Luca Gagliardi , Olivier Pierre-Louis

Finite size artifacts arise in molecular simulations of nucleation when critical nuclei are too close to their periodic images. A rigorous determination of what constitutes too close is, however, a major challenge. Recently, we devised…

Soft Condensed Matter · Physics 2022-02-23 Sarwar Hussain , Amir Haji-Akbari

The standard model of classical Density Functional Theory for pair potentials consists of a hard-sphere functional plus a mean-field term accounting for long ranged attraction. However, most implementations using sophisticated Fundamental…

Computational Physics · Physics 2021-01-04 James F. Lutsko , Cédric Schoonen

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

Control of the crystallization process is central to developing novel materials with atomic precision to meet the demands of electronic and quantum technology applications. Semiconductor nanowires grown by the vapor-liquid-solid process are…

Using molecular dynamics simulations, we have determined that the nature of dynamical heterogeneity in jammed liquids is very sensitive to short-ranged attractions. Weakly attractive systems differ little from dense hard-sphere and…

Soft Condensed Matter · Physics 2007-05-23 David R. Reichman , Eran Rabani , Phillip L. Geissler

Orientational and positional ordering properties of liquid crystal monolayers are examined by means of Fundamental-Measure Density Functional Theory. Particles forming the monolayer are modeled as hard parallelepipeds of square section of…

Soft Condensed Matter · Physics 2015-06-19 Yuri Martinez-Raton , Szabolcs Varga y Enrique Velasco

Crucial to gaining control over crystallisation in multicomponent materials or accurately modelling rheological behaviour of magma flows is to understand the mechanisms by which crystal nuclei form. The microscopic nature of such nuclei,…

Soft Condensed Matter · Physics 2019-08-07 Trond S. Ingebrigtsen , Jeppe C. Dyre , Thomas B. Schrøder , C. Patrick Royall

Liquids in contact with solids are submitted to intermolecular forces making liquids heterogeneous and stress tensors are not any more spherical as in homogeneous bulks. The aim of this article is to show that a square-gradient functional…

Classical Physics · Physics 2017-08-23 Henri Gouin

The dynamics of glass formation in monatomic and binary liquids are studied numerically using a microscopic field theory for the evolution of the time-averaged atomic number density. A stochastic framework combining phase field crystal free…

Materials Science · Physics 2015-05-27 Joel Berry , Martin Grant

We investigate the response of a system of hard spheres to two classes of perturbations over a range of densities spanning the fluid, crystalline, and glassy regimes within a molecular dynamics framework. Firstly, we consider the relaxation…

Statistical Mechanics · Physics 2025-09-04 Matthew Kafker , Xerxes D. Arsiwalla

Controlled crystallization, melting and vitrification are important fundamental processes in nature and technology. However, the microscopic details of these fundamental phenomena still lack understanding, in particular how the cooling rate…

Soft Condensed Matter · Physics 2024-07-08 M. P. M. Schelling , T. W. J. Verouden , T. C. M. Stevens , J. -M. Meijer

We investigate the equilibrium of a fluid in contact with a solid boundary through a density-functional theory. Depending on the conditions, the fluid can be in one phase, gas or liquid, or two phases, while the wall induces an external…

Fluid Dynamics · Physics 2012-02-06 Antonio Pereira , Serafim Kalliadasis

Confined fluids display complex behavior due to layering and local packing. Here, we disentangle these effects by confining a hard-sphere fluid to the surface of a cylinder, such the circumference extends only over a few particle diameters.…

Soft Condensed Matter · Physics 2020-04-23 Charlotte F. Petersen , Lukas Schrack , Thomas Franosch

It is shown how the combination of atomic deposition and nonlinear diffusion may lead, below a critical temperature, to the growth of nonuniform layers on a substrate. The dynamics of such a system is of the Cahn-Hilliard type, supplemented…

Pattern Formation and Solitons · Physics 2013-07-22 Daniel Walgraef