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Liquids spreading over a solid substrate under the action of various forces are known to exhibit a long wavelength contact line instability. We use an example of thermally driven spreading on a horizontal surface to study how the stability…

Pattern Formation and Solitons · Physics 2017-04-05 Roman O. Grigoriev

The dynamics of a thin liquid film on the underside of a curved cylindrical substrate is studied. The evolution of the liquid layer is investigated as the film thickness and the radius of curvature of the substrate are varied. A…

Linear and weakly nonlinear stability analyses of an externally shear-imposed, gravity-driven falling film over a uniformly heated wavy substrate are studied. The longwave asymptotic expansion technique is utilized to formulate a single…

Fluid Dynamics · Physics 2024-05-22 Md. Mouzakkir Hossain , Sukhendu Ghosh , Harekrushna Behera , G. P. Raja Sekhar

Understanding and control of cluster and thin film growth on solid surfaces is a subject of intensive research to develop nanomaterials with new physical properties. In this Colloquium we review basic theoretical concepts to describe…

Materials Science · Physics 2014-03-03 Mario Einax , Wolfgang Dieterich , Philipp Maass

Chemical transformations, such as ion exchange, are commonly employed to modify nanocrystal compositions. Yet the mechanisms of these transformations, which often operate far from equilibrium and entail mixing diverse chemical species,…

Statistical Mechanics · Physics 2022-05-18 Layne B. Frechette , Christoph Dellago , Phillip L. Geissler

Sphere-patterned ultrathin block copolymers films are potentially interesting for a variety of applications in nanotechnology. We use self-consistent field theory to investigate the elastic response of sphere monolayer films with respect to…

Soft Condensed Matter · Physics 2024-05-01 Le Qiao , Daniel A. Vega , Friederike Schmid

The modeling of the elastic properties of granular or nanoscale systems requires the foundations of the theory of elasticity to be revisited, as one explores scales at which this theory may no longer hold. The only cases for which a…

Statistical Mechanics · Physics 2007-05-23 I. Goldhirsch , C. Goldenberg

Heterogeneous growth plays an important role in the shape and pattern formation of thin elastic structures ranging from the petals of blooming lilies to the cell walls of growing bacteria. Here we address the stability and regulation of…

Soft Condensed Matter · Physics 2018-06-05 Salem Al Mosleh , Ajay Gopinathan , Christian Santangelo

In this Letter we investigate the rupture instability of thin liquid films by means of a bifurcation analysis in the vicinity of the short-scale instability threshold. The rupture time estimate obtained in closed form as a function of the…

Fluid Dynamics · Physics 2009-11-10 A. M. Leshansky , B. Y. Rubinstein

Mechanical deformation of amorphous solids can be described as consisting of an elastic part in which the stress increases linearly with strain, up to a yield point at which the solid either fractures or starts deforming plastically. It is…

Disordered Systems and Neural Networks · Physics 2020-03-25 Baoshuang Shang , Pengfei Guan , Jean-Louis Barrat

Adsorbed molecular films provide two-dimensional systems that show various emergent phenomena that are not observed in bulk counterparts. We have measured the elasticity of thin neon films adsorbed on porous glass down to 1 K by the…

Strongly Correlated Electrons · Physics 2019-08-20 Takahiko Makiuchi , Katsuyuki Yamashita , Michihiro Tagai , Yusuke Nago , Keiya Shirahama

The instability of a liquid film in a nanotube is significantly influenced by van der Waals forces. A theoretical framework based on the axisymmetric Stokes equations is developed to investigate their effects through linear stability…

Fluid Dynamics · Physics 2026-04-08 Yixiao Mao , Chengxi Zhao , Yixin Zhang , Kai Mu , Ting Si

When liquid-crystal elastomers are prepared without any alignment, disordered polydomain structures emerge as the materials are cooled into the nematic phase. These polydomain structures have been attributed to quenched disorder in the…

Soft Condensed Matter · Physics 2015-11-04 Ayhan Duzgun , Jonathan V. Selinger

Substrate wettability alteration induced control over crack formation process in thin colloidal films has been addressed in the present study. Colloidal nanosuspension (53nm, mean particle diameter) droplets have been subjected to natural…

When ultrathin metal films are subjected to multiple cycles of rapid melting and resolidification by a ns pulsed laser, spatially correlated interfacial nanostructures can result from a competition among several possible thin film…

Materials Science · Physics 2009-11-13 C. Favazza , J. Trice , R. Kalyanaraman , R. Sureshkumar

We address the folding induced by differential growth in soft layered solids via an elementary model that consists of a soft growing neo-Hookean elastic layer adhered to a deep elastic substrate. As the layer/substrate modulus ratio is…

Soft Condensed Matter · Physics 2015-09-30 Tuomas Tallinen , John S. Biggins

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

The modeling of the elastic properties of disordered or nanoscale solids requires the foundations of the theory of elasticity to be revisited, as one explores scales at which this theory may no longer hold. The only cases for which…

Materials Science · Physics 2007-05-23 I. Goldhirsch , C. Goldenberg

We study the dewetting of liquid films capped by a thin elastomeric layer. When the tension in the elastomer is isotropic, circular holes grow at a rate which decreases with increasing tension. The morphology of holes and rim stability can…

Soft Condensed Matter · Physics 2017-11-28 Rafael D. Schulman , John F. Niven , Michiel A. Hack , Christian DiMaria , Kari Dalnoki-Veress

Based on experiments and 3-D simulations, we show that a soft elastic film during adhesion and debonding from a rigid flat surface undergoes morphological transitions to pillars, labyrinths and cavities, all of which have the same lateral…

Soft Condensed Matter · Physics 2009-11-11 Manoj Gonuguntla , Ashutosh Sharma , Jayati Sarkar , Subash A. Subramanian , Moniraj Ghosh , Vijay Shenoy