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A geometrically nonlinear theory for field dislocation thermomechanics based entirely on measurable state variables is proposed. Instead of starting from an ordering-dependent multiplicative decomposition of the total deformation gradient…

Materials Science · Physics 2024-12-18 Gabriel Dante Lima-Chaves , Amit Acharya , Manas Vijay Upadhyay

We attempt to describe surface defects in smectic A thin films by formulating a free discontinuity problem - that is, a variational problem in which the order parameter is allowed to have jump discontinuities on some (unknown) set. The free…

Analysis of PDEs · Mathematics 2023-03-10 John M. Ball , Giacomo Canevari , Bianca Stroffolini

We present detailed systematic studies of structural transformations in thin liquid crystal films with the smectic-C to hexatic phase transition. For the first time all possible structures reported in the literature are observed for one…

Soft Condensed Matter · Physics 2009-11-11 P. V. Dolganov , K. I. Belov , V. K. Dolganov , E. I. Demikhov , B. M. Bolotin , E. I. Kats

Extensions of a previously presented Landau-de Gennes type liquid crystalline phase transition model for the direct isotropic/smectic-A (lamellar) a phase transition to the direct isotropic/smectic-C (tilted lamellar) transition are…

Soft Condensed Matter · Physics 2008-12-02 Nasser Mohieddin Abukhdeir , Alejandro D. Rey

We use the method of $\Gamma$-convergence to study the behavior of the Landau-de Gennes model for a nematic liquid crystalline film in the limit of vanishing thickness. In this asymptotic regime, surface energy plays a greater role and we…

Analysis of PDEs · Mathematics 2015-05-25 Dmitry Golovaty , José Alberto Montero , Peter Sternberg

General features of finite size effects in the ferroelectric-semiconductor film under open-circuited electric boundary conditions are analyzed using Landau-Ginzburg-Devonshire theory and continuum media electrostatics. The temperature…

Materials Science · Physics 2015-06-19 Eugene A. Eliseev , Sergei V. Kalinin , Anna N. Morozovska

Collective motion over increasing length scales is a signature of the vitrification process of liquids. We demonstrate the emergence of distinct static and dynamic length scales probed near the free surface in fully equilibrated…

Statistical Mechanics · Physics 2022-11-28 Hailong Peng , Huashan Liu , Thomas Voigtmann

We present an analysis of heterogeneous dynamics in molecular dynamics simulations of a thin polymeric film, supported by an absorbing structured surface. Near the glass transition "immobile" domains occur throughout the film, yet the…

Soft Condensed Matter · Physics 2009-11-10 Arlette R. C. Baljon , Joris Billen , Rajesh Khare

Large-scale atomistic calculations, using empirical potentials for modeling semiconductors, have been performed on a stressed system with linear surface defects like steps. Although the elastic limits of systems with surface defects remain…

Materials Science · Physics 2007-09-12 Julien Godet , Laurent Pizzagalli , Sandrine Brochard , Pierre Beauchamp

Smectic liquid crystal films a few molecular layers thick that are freely suspended in air are used as a model system to study the coalescence of fluids in two dimensions. High-speed video microscopy is used to observe the coalescence of…

Soft Condensed Matter · Physics 2021-08-18 Z. H. Nguyen , K. Harth , A. M. Goldfain , C. S. Park , J. E. Maclennan , M. A. Glaser , N. A. Clark

We study a liquid film that is deposited onto a flat plate that is inclined at a constant angle to the horizontal and is extracted from a liquid bath at a constant speed. We additionally assume that there is a constant temperature gradient…

Fluid Dynamics · Physics 2014-05-13 Dmitri Tseluiko , Mariano Galvagno , Uwe Thiele

The correlation-driven transition from a paramagnetic metal to a paramagnetic Mott-Hubbard insulator is studied within the half-filled Hubbard model for a thin-film geometry. We consider simple-cubic films with different low-index surfaces…

Strongly Correlated Electrons · Physics 2009-10-31 M. Potthoff , W. Nolting

In this paper we consider a superconducting film modeled by the Ginzburg-Landau model, confined between two parallel planes a distance $L$ apart from one another. Our approach is based on the Gaussian effective potential in the transverse…

Superconductivity · Physics 2009-11-10 L. M. Abreu , A. P. C. Malbouisson , I. Roditi

We have simulated the time-dependent Ginzburg-Landau equation with thermal fluctuations, to study the nonlocal dc conductivity of a superconducting film. Having examined points in the phase diagram at a wide range of temperatures and fields…

Condensed Matter · Physics 2012-08-16 Rachel Wortis , David A. Huse

A phenomenological model of the evolution of an ensemble of interacting dislocations in an isotropic elastic medium is formulated. The line-defect microstructure is described in terms of a spatially coarse-grained order parameter, the…

mtrl-th · Physics 2009-10-30 J. M. Rickman , Jorge Vinals

By considering the Ginzburg-Landau model, compactified in one of the spatial dimensions, and using a modified Matsubara formalism, we determine the dependence of the superconducting transition temperature (T_c) of a film as a function of…

Soft Condensed Matter · Physics 2007-05-23 A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

Em geral, quando a teoria fenomenol\'ogica de Ginzburg-Landau para supercondutores \'e trabalhada, pouco se esclarece aos alunos sobre a origem da mesma. Esta tem como base conceitos termodin\^amicos como fen\^omenos cr\'iticos e…

History and Philosophy of Physics · Physics 2015-05-07 Rafael Zadorosny , Alice Presotto , Elwis C. S. Duarte , Edson Sardella

A broad fundamental understanding of the mechanisms underlying the phenomenology of supercooled liquids has remained elusive, despite decades of intense exploration. When supercooled beneath its characteristic melting temperature, a liquid…

Soft Condensed Matter · Physics 2016-11-10 Nicholas B. Weingartner , Chris Pueblo , Flavio S. Nogueira , K. F. Kelton , Zohar Nussinov

Confining glassy polymer into films can substantially modify their local and film-averaged properties. We present a lattice model of film geometry with void-mediated facilitation behaviors but free from any elasticity effect. We analyze the…

Soft Condensed Matter · Physics 2024-05-17 Qiang Zhai , Xin-Yuan Gao , Chun-Shing Lee , Chin-Yuan Ong , Ke Yan , Hai-Yao Deng , Sen Yang , Chi-Hang Lam

A deterministic theory describing the melting of an ultrathin lubricant film between two atomically smooth solid surfaces has been developed. The lubricant state is described by introducing a parameter of excess volume that arises owing to…

Fluid Dynamics · Physics 2011-03-31 I. A. Lyashenko , A. V. Khomenko , L. S. Metlov