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We analyze a linear 3D/3D fluid-structure interaction problem between a thin layer of a viscous fluid and a thin elastic plate-like structure with the aim of deriving a simplified reduced model. Based on suitable energy dissipation…

Analysis of PDEs · Mathematics 2020-08-07 Mario Bukal , Boris Muha

A thermodynamic theory of ferroelectric thin film multilayers is developed. The free energy function is written down using a multilayer model in which c-domain layers of one ferroelectric material alternate with a-domain layers of a second…

Materials Science · Physics 2007-05-23 M. D. Glinchuk , E. A. Eliseev , V. A. Stephanovich , M. G. Karkut , R. Farhi

Dislocations in van der Waals materials are linear defects confined to the interfaces between consecutive stoichiometric monolayers of a bulk layered crystal. Here, we present a mesoscale model for the description of interlayer dislocations…

Mesoscale and Nanoscale Physics · Physics 2024-09-19 Isaac Soltero , Vladimir I. Fal'ko

When a flexible plate is peeled off a thin and soft elastic film bonded to a rigid support, uniformly spaced fingering patterns develop along their line of contact. While, the wavelength of these patterns depends only on the thickness of…

Soft Condensed Matter · Physics 2007-05-23 Animangsu Ghatak , Manoj K. Chaudhury

Thin liquid films are ubiquitous in natural phenomena and technological applications. They have been extensively studied via deterministic hydrodynamic equations, but thermal fluctuations often play a crucial role that needs to be…

There are various methods for modeling phase transformations in materials science, including general classes of phase-field methods and reactive diffusion methodologies, which most importantly differ in their treatment of interface energy.…

We investigate the question of stability of a solid thin film which experiences external interactions such as van der Waals forces from a contacting surface or forces from an external electric field. Both perfectly elastic and viscoelastic…

Materials Science · Physics 2007-05-23 Vijay Shenoy , Ashutosh Sharma

We analyze theoretically the effect of friction on quartz crystal microbalance (QCM) measurements that probe soft (viscoelastic) films and biomolecular layers adsorbed from aqueous solutions. While water provides a natural environment for…

Soft Condensed Matter · Physics 2007-05-23 M. V. Voinova , M. Jonson , B. Kasemo

We revisit here the stability of a deformable interface that separates a fully-developed turbulent gas flow from a thin layer of laminar liquid. Unlike previous work, the turbulent base state velocity profile proposed here requires only a…

Fluid Dynamics · Physics 2016-11-26 Lennon Ó Náraigh , Peter Spelt , Omar Matar , Tamer Zaki

The reactivity of fusion plasma depends not only on its local density and temperature but also, through a recently identified kinetic effect, on the relative velocities of nearby fluid elements. Turbulence on fine spatial scales therefore…

Plasma Physics · Physics 2025-06-17 Henry Fetsch , Nathaniel J. Fisch

Finite-thickness effects are analyzed theoretically for the plasma frequency and associated dielectric response function of plasmonic films formed by periodically aligned, infinitely thin, identical metallic cylinders. The plasma frequency…

Mesoscale and Nanoscale Physics · Physics 2019-08-05 Igor V. Bondarev

The effect of substrate was studied using nanoindentation on thin films. Soft films on hard substrate showed more pile up than usual which was attributed to the dislocation pile up at the film substrate interface. The effect of tip blunting…

We investigate the roughening of shear cracks running along the interface between a thin film and a rigid substrate. We demonstrate that short-range correlated fluctuations of the interface strength lead to self-affine roughening of the…

Materials Science · Physics 2015-05-13 M. Zaiser , P. Moretti , A. Konstantinidis , E. C. Aifantis

The paper discusses the relationships between electrical and affine differential geometry quantities, establishing a link between frequency and time derivatives of voltage, through the utilization of affine geometric invariants. Based on…

Differential Geometry · Mathematics 2024-09-26 Ali Alshawabkeh , Georgios Tzounas , Angel Molina-Garcia , Federico Milano

Thin liquid films are central to everyday life. They are ubiquitous in modern technology (pharmaceuticals, coatings), consumer products (foams, emulsions) and also serve vital biological functions (tear film of the eye, pulmonary…

A theoretical model for understanding the formation of interfacial thin films is presented, which combines density functional theory calculations for interface energies with thermodynamic modeling techniques for multicomponent bulk systems.…

Materials Science · Physics 2012-02-22 Sven A. E. Johansson , Göran Wahnström

We discuss instabilities of fluid films of nanoscale thickness, with a particular focus on films where the destabilising mechanism allows for linear instability, metastability, and absolute stability. Our study is motivated by nematic…

Soft Condensed Matter · Physics 2018-04-04 Michael-Angelo Y. -H. Lam , Linda J. Cummings , Lou Kondic

Based on the microscopic model, the friction coefficient for the relative motion of nuclei in deep-inelastic heavy-ion collisions is calculated. The radial dependence of the friction coefficient is studied and the results are compared with…

Nuclear Theory · Physics 2008-11-26 G. G. Adamian , R. V. Jolos , A. K. Nasirov , A. I. Muminov

In this paper we review and systematize the mathematical theory on justification of sixth-order thin-film equations as reduced models for various fluid-structure interaction systems in which fluids are lubricating underneath elastic…

Analysis of PDEs · Mathematics 2020-06-04 Mario Bukal , Boris Muha

We present a theoretical model and experimental demonstration of thin liquid film deformations due to a dielectric force distribution established by surface electrodes. We model the spatial electric field produced by a pair of parallel…

Soft Condensed Matter · Physics 2023-06-22 Israel Gabay , Federico Paratore , Evgeniy Boyko , Antonio Ramos , Amir D. Gat , Moran Bercovici
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