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The dynamics of thin films on a horizontal solid substrate is investigated in the case of non-Newtonian fluids exhibiting normal stress differences, the rheology of which is strongly non-linear. Two coupled equations of evolution for the…

Fluid Dynamics · Physics 2015-06-26 Arezki Boudaoud

For over 30 years, mode-coupling theory (MCT) has been the de facto theoretic description of dense fluids and the liquid-glass transition. MCT, however, is limited by its ad hoc construction and lacks a mechanism to institute corrections.…

Soft Condensed Matter · Physics 2015-08-12 David D. McCowan

A kinetic Monte Carlo (KMC) method is used to study the structural properties and dynamics of a supercooled binary Lennard-Jones liquid around the glass transition temperature. This technique permits us to explore the potential energy…

Soft Condensed Matter · Physics 2015-06-24 Javier Hernandez-Rojas , David J. Wales

In this work, we study the nematic-isotropic phase transition based on the dynamics of the Landau--De Gennes theory of liquid crystals. At the critical temperature, the Landau--De Gennes bulk potential favors the isotropic phase and nematic…

Analysis of PDEs · Mathematics 2021-07-28 Tim Laux , Yuning Liu

We consider the diffusion and spreading of chainlike molecules on solid surfaces. We first show that the steep spherical cap shape density profiles, observed in some submonolayer experiments on spreading polymer films, imply that the…

Soft Condensed Matter · Physics 2009-10-31 T. Hjelt , S. Herminghaus , T. Ala-Nissila , S. C. Ying

We study the dynamic wetting of a self-propelled viscous droplet using the time-dependent lubrication equation on a conical-shaped substrate for different cone radii, cone angles and slip lengths. The droplet velocity is found to increase…

Fluid Dynamics · Physics 2020-08-10 T. S. Chan , C. Pedersen , J. Koplik , A. Carlson

Defects in liquid crystals are of great practical importance and theoretical interest. Despite tremendous efforts, predicting the location and transition of defects under various topological constraint and external field remains to be a…

Soft Condensed Matter · Physics 2014-08-27 Yucheng Hu , Yang Qu , Pingwen Zhang

I show using Landau theory that quenched dislocations can facilitate the supersolid (SS) to normal solid (NS) transition, making it possible for the transition to occur even if it does not in a dislocation-free crystal. I make detailed…

Other Condensed Matter · Physics 2009-11-13 John Toner

Using a large scale molecular dynamics computer simulation we investigate the dynamics of a supercooled melt of SiO_2. We find that with increasing temperature the temperature dependence of the diffusion constants crosses over from an…

Statistical Mechanics · Physics 2009-10-31 Walter Kob , Jurgen Horbach , Kurt Binder

We study the dynamical melting of "hot" one-dimensional many-body localized systems. As disorder is weakened below a critical value these non-thermal quantum glasses melt via a continuous dynamical phase transition into classical thermal…

Disordered Systems and Neural Networks · Physics 2015-09-23 Andrew C. Potter , Romain Vasseur , S. A. Parameswaran

When a plate is withdrawn from a liquid bath, either a static meniscus forms in the transition region between the bath and the substrate or a liquid film of finite thickness (a Landau-Levich film) is transferred onto the moving substrate.…

Fluid Dynamics · Physics 2016-12-15 Markus Wilczek , Juan Zhu , Lifeng Chi , Uwe Thiele , Svetlana V. Gurevich

The theory of the dislocation motion in the periodic potential relief of the crystal lattice (the Peierls-Nabarro barriers) is reviewed. On the basis of the kink mechanism the temperature dependence of the flow stress is described for a…

Pattern Formation and Solitons · Physics 2007-05-23 B. V. Petukhov

We present a theory of the melting of elemental solids as a dislocation-mediated phase transition. We model dislocations near melt as non-interacting closed strings on a lattice. In this framework we derive simple expressions for the…

Condensed Matter · Physics 2009-10-31 Leonid Burakovsky , Dean L. Preston , Richard R. Silbar

The fundamental interactions between an edge dislocation and a random solid solution are studied by analyzing dislocation line roughness profiles obtained from molecular dynamics simulations of Fe0.70Ni0.11 Cr0.19 over a range of stresses…

Matallic alloys, such as Al or Cu, or mild steel, display plastic instabilities in a well defined range of temperatures and deformation rates, a phenomenon known as the Portevin-Le Chatelelier (PLC) effect. The stick-slip behavior, or…

Materials Science · Physics 2014-02-12 Fabio Leoni , Stefano Zapperi

Within the framework of Landau-de Gennes theory for nematic liquid crystals, we study the temperature-induced isotropic-nematic phase transition on a spherical shell. Below a critical temperature, a thin layer of nematic coating a…

Soft Condensed Matter · Physics 2021-08-11 Gaetano Napoli , Luigi Vergori

We study the wetting behaviour of a symmetrical binary fluid below the demixing temperature at a non-selective attractive wall. Although it demixes in the bulk, a sufficiently thin liquid film remains mixed. On approaching liquid/vapour…

Statistical Mechanics · Physics 2009-10-31 F. Schmid , N. B. Wilding

Using positional data from video-microscopy of a two-dimensional colloidal system and from simulations of hard discs we determine the wave-vector-dependent normal mode spring constants in the supercooled fluid and glassy state,…

Soft Condensed Matter · Physics 2012-10-26 Christian L. Klix , Florian Ebert , Fabian Weysser , Matthias Fuchs , Georg Maret , Peter Keim

Dislocation climb mobilities, assuming vacancy bulk diffusion, are derived and implemented in dislocation dynamics simulations to study the coarsening of vacancy prismatic loops in fcc metals. When loops cannot glide, the comparison of the…

Materials Science · Physics 2011-06-29 Botond Bakó , Emmanuel Clouet , Laurent Dupuy , Marc Blétry

Superconducting state in mesoscopic cylinder placed in the external magnetic field is analyzed at general de Gennes boundary condition for the order parameter. The lower and the surface critical fields of the cylinder are calculated at…

Superconductivity · Physics 2007-05-23 W. V. Pogosov , A. L. Rakhmanov , E. A. Shapoval