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We study the equilibrium configurations of a possibly asymmetric fluid-structure-interaction problem. The fluid is confined in a bounded planar channel and is governed by the stationary Navier-Stokes equations with laminar inflow and…

Analysis of PDEs · Mathematics 2023-08-11 Edoardo Bocchi , Filippo Gazzola

The theory developed in our previous papers is applied in this paper to investigate the dependence of slowing down of dynamics of glass-forming liquids on the attractive and repulsive parts of intermolecular interactions. Through an…

Soft Condensed Matter · Physics 2021-05-12 Ankit Singh , Yashwant Singh

Let $S$ be a compact surface of genus $\geq 2$ equipped with a metric that is flat everywhere except at finitely many cone points with angles greater than $2\pi$. We examine the geodesic flow on $S$ and prove local product structure for a…

Dynamical Systems · Mathematics 2024-07-24 Benjamin Call , David Constantine , Alena Erchenko , Noelle Sawyer , Grace Work

We develop and extend a method presented in [S. Patinet, D. Vandembroucq, and M. L. Falk, Phys. Rev. Lett., 117, 045501 (2016)] to compute the local yield stresses at the atomic scale in model two-dimensional Lennard-Jones glasses produced…

The simplest prescription for building a patterned structure from its constituents is to add particles, one at a time, to an appropriate template. However, self-organizing molecular and colloidal systems in nature can evolve in much more…

Statistical Mechanics · Physics 2009-04-07 Stephen Whitelam , Edward H. Feng , Michael F. Hagan , Phillip L. Geissler

We determine and compare structural, dynamical, and electronic properties of liquid water at near ambient conditions through density-functional molecular dynamics simulations, when using either plane-wave or atomic-orbital basis sets. In…

Chemical Physics · Physics 2016-09-26 Giacomo Miceli , Jürg Hutter , Alfredo Pasquarello

The effect of surface roughness on the structure of liquid crystalline fluids near solid substrates is studied by Monte Carlo simulations. The liquid crystal is modelled as a fluid of soft ellipsoidal molecules and the substrate is modelled…

Soft Condensed Matter · Physics 2009-11-11 David Cheung , Friederike Schmid

We conduct a numerical investigation of structural order in the shifted-force Lennard-Jones system by calculating metrics of translational and bond-orientational order along various paths in the phase diagram covering equilibrium solid,…

Statistical Mechanics · Physics 2009-11-07 Jeffrey R. Errington , Pablo G. Debenedetti , Salvatore Torquato

The theoretical formalism of the local density approximation (LDA) to density functional theory (DFT) has been used to study the electronic and geometric structures of SimCn (1<=m, n<=4;n<=m) clusters. An all electron 6-311++G** basis set…

Atomic and Molecular Clusters · Physics 2007-05-23 Prachi Pradhan , Asok K. Ray

Glasses remain an elusive and poorly understood state of matter. For example, it is not clear how we can design an efficient macroscopic glass former by tuning the properties of its microscopic building blocks. In this paper, we propose a…

Soft Condensed Matter · Physics 2019-02-06 Susana Marín Aguilar , Henricus H. Wensink , Giuseppe Foffi , Frank Smallenburg

We studied the structural and the electronic properties of ionized and neutral small Au clusters via plane wave pseudopotential calculations. All except the anionic heptamer favor one-dimensional zigzag structures or two-dimensional…

Materials Science · Physics 2016-02-17 Byeong June Min , Won Chul Shin , Jae Ik Park

Using molecular dynamics computer simulations we investigate the dependence of bulk properties of a Lennard-Jones glass on the cooling rate with which the glass was produced. By studying the clusters formed by the nearest neighbor shells of…

Condensed Matter · Physics 2009-10-28 K. Vollmayr , W. Kob , K. Binder

It is well-known that any Lennard-Jones type potential energy must have a periodic ground state given by a triangular lattice in dimension 2. In this paper, we describe a computer-assisted method that rigorously shows such global minimality…

Mathematical Physics · Physics 2023-03-09 Laurent Bétermin

Application of the spectral clustering method based on the analyses of the Laplace matrix is an acceptable indicator of the global properties of H-bonded network. The first peak of the Laplace spectra contains six eigenvalues. These results…

Soft Condensed Matter · Physics 2021-03-31 Imre Bakó , Dániel Csókás , Szilvia Pothoczki

The role of the potential energy landscape in determining the relaxation dynamics of model clusters is studied using a master equation. Two types of energy landscape are examined: a single funnel, as exemplified by 13-atom Morse clusters,…

Statistical Mechanics · Physics 2009-10-31 Mark A. Miller , Jonathan P. K. Doye , David J. Wales

A new type of a levitating droplet clusters composed of often transforming small aggregates of water droplets is described for the first time. Unlike earlier observed droplet clusters controlled by aerodynamic forces, which formed either an…

We examine the structural and dynamic properties of confined binary hard-sphere mixtures designed to mimic realizable colloidal thin films. Using computer simulations, governed by either Newtonian or overdamped Langevin dynamics, together…

Soft Condensed Matter · Physics 2015-05-01 Jonathan A. Bollinger , Avni Jain , James Carmer , Thomas M. Truskett

The ordering transitions of a 2D lattice liquid characterized by a single favoured local structure (FLS) are studied using Monte Carlo simulations. All eight distinct geometries for the FLS are considered and we find a variety of ordering…

Statistical Mechanics · Physics 2015-06-12 Pierre Ronceray , Peter Harrowell

Measurements of local density fluctuations are crucial to characterizing the interfacial properties of equilibrium fluids. A specific case that has been well-explored involves the heightened compressibility of water near hydrophobic…

Soft Condensed Matter · Physics 2024-02-09 Nigel B. Wilding , Robert Evans , Francesco Turci

The local structure study reveals important aspects of the physical properties, because it is closely related to the electronic structure. Standard crystallographic analysis based on a space group fails to observe disorder in the crystal…

Materials Science · Physics 2019-06-26 Shin-ichi Shamoto