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A theoretical framework is developed to describe experiments on the structure of epitaxial thin films, particularly niobium on sapphire. We extend the hypothesis of dynamical scaling to apply to the structure of thin films from its…

Statistical Mechanics · Physics 2009-11-07 Anita Mehta , R. A. Cowley

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

The assembly of molecular networks into structures such as random tilings and glasses has recently been demonstrated for a number of two-dimensional systems. These structures are dynamically-arrested on experimental timescales so the…

Statistical Mechanics · Physics 2010-10-14 Andrew Stannard , Matthew O. Blunt , Peter H. Beton , Juan P. Garrahan

Classical network elasticity theories are based on the concept of flexible volumeless polymers fixed into a network in which there are no excluded volume, or even topological interactions, and where the chains explore accessible…

Soft Condensed Matter · Physics 2013-01-21 Jack F. Douglas

Recent experimental and theoretical investigations of crystal growth from solution in the vicinity of an impermeable wall have shown that: (i) growth can be maintained within the contact region when a liquid film is present between the…

Soft Condensed Matter · Physics 2019-03-27 Luca Gagliardi , Olivier Pierre-Louis

We investigate stall force and polymerization kinetics of rigid protofilaments in a microtubule or interacting filaments in bundles under an external load force in the framework of a discrete growth model. We introduce the concecpt of…

Statistical Mechanics · Physics 2011-02-11 Jaroslaw Krawczyk , Jan Kierfeld

Interface energy and kinetic coefficient of crystal growth strongly depend on the face of the crystalline lattice. To investigate the kinetic anisotropy and velocity of different crystallographic faces we use the hyperbolic (modified) phase…

Materials Science · Physics 2020-04-03 Vladimir Ankudinov , Peter K. Galenko

We extend classical Flory-Rehner theory for the expansion and compression of porous materials such as cross-linked polymer networks. The theory includes volume exclusion, affinity with the solvent, and finite stretching of the polymer…

Chemical Physics · Physics 2023-09-28 P. M. Biesheuvel , H. Fan , M. Elimelech

In mathematical crystallography and computational materials science, it is important to infer flexibility properties of framework materials from their geometric representation. We study combinatorial, geometric and kinematic properties for…

Metric Geometry · Mathematics 2016-06-20 Ciprian S. Borcea , Ileana Streinu

Instabilities in thin elastic sheets, such as wrinkles, are of broad interest both from a fundamental viewpoint and also because of their potential for engineering applications. Nematic liquid crystal elastomers offer a new form of control…

Soft Condensed Matter · Physics 2019-10-03 Madison S. Krieger , Marcelo A. Dias

We study crystal growth inside an infinite octant on a cubic lattice. The growth proceeds through the deposition of elementary cubes into inner corners. After re-scaling by the characteristic size, the interface becomes progressively more…

Statistical Mechanics · Physics 2014-07-18 Jason Olejarz , P. L. Krapivsky

We investigate crystal-growth kinetics in the presence of strong shear flow in the liquid, using molecular-dynamics simulations of a binary-alloy model. Close to the equilibrium melting point, shear flow always suppresses the growth of the…

Materials Science · Physics 2017-08-15 H. L. Peng , D. M. Herlach , Th. Voigtmann

Tribological properties of materials play an important role in engineering applications. Up to now, a number of experimental studies have identified correlations between tribological parameters and the mechanical response. Using molecular…

Computational Physics · Physics 2019-08-30 Karina E. Avila , Stefan Küchemann , Iyad Alabd Alhafez , Herbert M. Urbassek

The purpose of this paper is to review some elasticity effects in epitaxial growth. We start by a description of the main ingredients needed to describe elasticity effects (elastic interactions, surface stress, bulk and surface elasticity,…

Materials Science · Physics 2009-11-13 P. Muller

Molecular dynamics simulations were used to quantify mechanically-induced structural evolution in nanocrystalline Al with an average grain size of 5 nm. A polycrystalline sample was cyclically strained at different temperatures, while a…

Materials Science · Physics 2015-06-22 Jason F. Panzarino , Jesus J. Ramos , Timothy J. Rupert

Wrinkles commonly develop in a thin film deposited on a soft elastomer substrate when the film is subject to compression. Motivated by recent experiments [Agrawal et al., Soft Matter 8, 7138 (2012)] that show how wrinkle morphology can be…

Soft Condensed Matter · Physics 2016-07-06 Harsh Soni , Robert A. Pelcovits , Thomas R. Powers

A part of the theory of dislocations in crystals is revised with the aim to fit it into the framework of the nonlinear theory of plasticity initially designed for amorphous glassy materials.

Mathematical Physics · Physics 2007-05-23 Jeffrey Comer , Ruslan Sharipov

A comprehensive study has been undertaken on the dimensional swelling of graphene-reinforced elastomers in liquids. Anisotropic swelling was observed for samples reinforced with graphene nanoplatelets (GNPs), induced by the in-plane…

Applied Physics · Physics 2020-03-25 Mufeng Liu , Suhao Li , Ian A. Kinloch , Robert J. Young , Dimitrios G. Papageorgiou

In many growth processes particles are highly mobile in an active layer at the surface, but are relatively immobile once incorporated in the bulk. We study models in which atoms are allowed to interact, equilibrate, and order on the…

Soft Condensed Matter · Physics 2009-10-31 Mehran Kardar

Kinetic barriers cause polymers to crystallize incompletely, into nanoscale lamellae interleaved with amorphous regions. As a result, crystalline polymers are full of crystal-melt interfaces, which dominate their physical properties. The…

Soft Condensed Matter · Physics 2010-09-23 Scott T. Milner