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I study numerically the problem of delamination of a thin film elastically attached to a rigid substrate. A nominally flat elastic thin film is modeled using a two-dimensional triangular mesh. Both compression and bending rigidities are…

Materials Science · Physics 2009-11-11 E. A. Jagla

This work is devoted so show the appearance of different cracking modes in linearly elastic thin film systems by means of an asymptotic analysis as the thickness tends to zero. By superposing two thin plates, and upon suitable scaling law…

Analysis of PDEs · Mathematics 2015-09-14 Jean-Francois Babadjian , Duvan Henao

This paper is motivated by the complex blister patterns sometimes seen in thin elastic films on thick, compliant substrates. These patterns are often induced by an elastic misfit which compresses the film. Blistering permits the film to…

Analysis of PDEs · Mathematics 2013-04-02 Jacob Bedrossian , Robert V. Kohn

A coarsened model for a binary system with limited miscibility of components is proposed; the system is described in terms of structural states in small parts of the material. The material is assumed to have two alternative types of…

Statistical Mechanics · Physics 2007-05-23 Leonid D. Son , German M. Rusakov , Alexander Z. Patashinski , Mark A. Ratner

We study the effects of time-dependent substrate/film temperature in the deposition of a mesoscopically thick film using a statistical model that accounts for diffusion of adatoms without lateral neighbors whose coefficients depend on an…

Statistical Mechanics · Physics 2013-10-30 T. A. de Assis , F. D. A. A. Reis

We study the spin-1 Ising model with bilinear and biquadratic exchange interactions and single-ion crystal field. In addition to the four usual phases: disordered DIS, ferromagnetic FER, antiquadrupolar AQU and ferrimagnetic FRI, we found…

Statistical Mechanics · Physics 2015-06-25 H. Ez-Zahraouy , L. Bahmad , A. Benyoussef

Dewetting of a binary alloy thin film is studied using a continuum many-parameter model that accounts for the surface and bulk diffusion, the bulk phase separation, the surface segregation and the particles formation. Analytical solution is…

Materials Science · Physics 2018-01-19 Mikhail Khenner

Organisms in nature can alter the short-range order of an amorphous precursor phase, thereby controlling the resulting crystalline structure. This phenomenon inspired an investigation of the effect of modifying the short-range order within…

Materials Science · Physics 2020-01-13 Yael Etinger-Geller , Alex Katsman , Boaz Pokroy

The behavior as a function of temperature of very thin films (10 to 200 nm) of pentylcyanobiphenyl (5CB) on silicon substrates is reported. In the vicinity of the nematic/isotropic transition we observe a coexistence of two regions of…

Soft Condensed Matter · Physics 2009-11-07 D. van Effenterre , R. Ober , M. P. Valignat , A. M. Cazabat

In this paper we consider thin films of AB block copolymer melts confined between two parallel plates. The plates are identical and may have a preference for one of the monomer types over the other. The system is characterized by four…

Soft Condensed Matter · Physics 2009-11-11 Hindrik Jan Angerman , Albert Johner , Alexander N. Semenov

Using an interface displacement model we calculate the shapes of thin liquidlike films adsorbed on flat substrates containing a chemical stripe. We determine the entire phase diagram of morphological phase transitions in these films as…

Soft Condensed Matter · Physics 2009-10-31 C. Bauer , S. Dietrich

We study morphologies of thin-film diblock copolymers between two flat and parallel walls. The study is restricted to the weak segregation regime below the order-disorder transition temperature. The deviation from perfect lamellar shape is…

Soft Condensed Matter · Physics 2009-11-07 Yoav Tsori , David Andelman

Thin polymer films have attracted attention because of both their broad range of applications and of the fundamental questions they raise regarding the dynamic response of confined polymers. These films are unstable if the temperature is…

Formation of the intermediate phase patterns in the thin-film co-deposition process is simulated using the Stochastic Kinetic Mean-Field method and Monte Carlo. Three basic morphologies of the 2D sections are distinguished: (1) spots…

Materials Science · Physics 2024-12-05 Serhii Abakumov , Andriy Gusak

The purpose of this article is to study the behavior of a heterogeneous thin film whose microstructure oscillates on a scale that is comparable to that of the thickness of the domain. The argument is based on a 3D-2D dimensional reduction…

Analysis of PDEs · Mathematics 2007-05-23 Jean-Francois Babadjian , Margarida Baia

We study the interplay between surface roughening and phase separation during the growth of binary films. Already in 1+1 dimension, we find a variety of different scaling behaviors depending on how the two phenomena are coupled. In the most…

Statistical Mechanics · Physics 2009-10-31 Barbara Drossel , Mehran Kardar

A phenomenological theory of the incommensurate phase transition in thin films is presented for the case of the single-component order parameter. The order parameter distribution over the film is obtained under the assumption of…

Materials Science · Physics 2007-05-23 E. V. Charnaja , S. A. Ktitorov , O. S. Pogorelova

Thin films, bubbles and membranes are central to numerous natural and engineering processes, i.e., in thin-film solar cells, coatings, biosensors, electrowetting displays, foams, and emulsions. Yet, the characterization and an adequate…

Fluid Dynamics · Physics 2024-07-18 Muhammad Rizwanur Rahman , Li Shen , James P. Ewen , D. M. Heyes , Daniele Dini , E. R. Smith

Delamination of coatings and thin films from substrates generates a fascinating variety of patterns, from circular blisters to wrinkles and labyrinth domains, in a way that is not completely understood. We report on large-scale numerical…

Materials Science · Physics 2015-03-12 Zoe Budrikis , Alessandro L. Sellerio , Zsolt Bertalan , Stefano Zapperi

We consider the large-time dynamics of one-dimensional processes involving adsorption and desorption of extended hard-core particles (dimers, trimers,\,$\cdots,k$-mers), while interacting through their constituent monomers. Desorption can…

Statistical Mechanics · Physics 2017-06-23 F. A. Gómez Albarracín , H. D. Rosales , M. D. Grynberg
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