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Spatial heterogeneity in the elastic properties of soft random solids is examined via vulcanization theory. The spatial heterogeneity in the \emph{structure} of soft random solids is a result of the fluctuations locked-in at their…

Disordered Systems and Neural Networks · Physics 2011-12-08 Xiaoming Mao , Paul M. Goldbart , Xiangjun Xing , Annette Zippelius

It is shown that the temperature of the resistive transition $T_r$ of a superconducting film can be increased by a thin superconducting or normal overlayer. For instance, deposition of a highly conductive thin overlayer onto a dirty…

Superconductivity · Physics 2018-08-01 Alex Gurevich

Progress in roughness research, mapping any given roughness geometry to its fluid dynamic behaviour, has been hampered by the lack of accurate and direct measurements of skin-friction drag, especially in open systems. The Taylor--Couette…

We study a stationary wetting problem on rough and inhomogeneous solid surfaces. We derive a new formula for the apparent contact angle by asymptotic two-scale homogenization method. The formula reduces to a modified Wenzel equation for…

Analysis of PDEs · Mathematics 2016-09-27 Xianmin Xu

Unstable homoepitaxy on rough substrates is treated within a linear continuum theory. The time dependence of the surface width W(t) is governed by three length scales: The characteristic scale $l_0$ of the substrate roughness, the terrace…

Statistical Mechanics · Physics 2009-10-31 Joachim Krug , Martin Rost

We use well resolved numerical simulations with the Lattice Boltzmann Method to study Rayleigh-B\'enard convection in cells with a fractal boundary in two dimensions for $Pr = 1$ and $Ra \in \left[10^7, 10^{10}\right]$. The fractal…

Fluid Dynamics · Physics 2020-11-25 Srikanth Toppaladoddi , Andrew J. Wells , Charles R. Doering , John S. Wettlaufer

Soft membranes are commonly employed in shape-morphing applications, where the material is programmed to achieve a target shape upon activation by an external trigger, and as coating layers that alter the surface characteristics of bulk…

Soft Condensed Matter · Physics 2016-02-05 Alessandro Lucantonio , Luciano Teresi , Antonio DeSimone

We report measurements of the temperature fluctuations in a horizontal layer of a pure fluid confined between parallel plates and heated from below. Consistent with earlier work we found that the structure factor $S_T(q)$ (the square of the…

Statistical Mechanics · Physics 2007-05-23 Jaechul Oh , Guenter Ahlers

We investigate a model of closed $(d-1)$-dimensional soft-self-avoiding random surfaces on a $d$-dimensional cubic lattice. The energy of a surface configuration is given by $E=J(n_{2}+4k n_{4})$, where $n_{2}$ is the number of edges, where…

High Energy Physics - Lattice · Physics 2009-10-30 R. Pietig , F. J. Wegner

We consider a restricted Solid-on-Solid interface in $\Bbb{Z}_{+}$, subject to a potential $V\left( n\right) $ behaving at infinity like $-\mathrm{w}/n^{2}$. Whenever there is a wetting transition as $b_{0}\equiv \exp V\left( 0\right) $ is…

Probability · Mathematics 2015-09-02 P. Collet , F. Dunlop , T. Huillet

When stretched in one direction, most solids shrink in the transverse directions. In soft silicone gels, however, we observe that small-scale topographical features grow upon stretching. A quantitative analysis of the topography shows that…

We propose a sharp-interface model for solid-state dewetting of thin films with wetting potential, where the wetting effect is incorporated through a thickness-dependent surface energy. The model is governed by surface diffusion together…

Numerical Analysis · Mathematics 2026-04-29 Weijie Huang , Xinran Ruan

In order to predict the more accurate shape information of the melt pool in Selective Laser Melting (SLM), a new finite element temperature field simulations model is proposed. The simulations use a new heat source model that takes into…

Applied Physics · Physics 2021-06-08 Zhi Huang , Weibo Jia , Haoming Wang , Zhengtong Yang , Chao Li , Jie Liang , Yue Zhong

We study 2D solids with weak substrate disorder, using Coulomb gas renormalisation. The melting transition is found to be replaced by a sharp crossover between a high $T$ liquid with thermally induced dislocations, and a low $T$ glassy…

Disordered Systems and Neural Networks · Physics 2009-10-30 David Carpentier , Pierre Le Doussal

The existed theories and methods for calculating interfacial thermal conductance of solid-solid interface lead to diverse values that deviate from experimental measurements. In this letter, We propose a model to estimate the ITC at high…

Materials Science · Physics 2020-11-20 Jinxin Zhong , Zhiguo Wang , Xiaobo Li , Jun Liu , Jun Zhou

Patterning solid surfaces with varying wettability is important to manage droplets in microfluidics, heat transfer and printing. Solid surface roughness poses fundamental limitations including contact-line pinning and solid friction. Here,…

Control of surface texture in strip steel is essential to meet customer requirements during galvanizing and temper rolling processes. Traditional methods rely on post-production stylus measurements, while on-line techniques offer…

Machine Learning · Computer Science 2023-10-03 Alex Milne , Xianghua Xie

We present an extensive but concise review of our present understanding, largely based on theory and simulation work from our group, on the equilibrium behavior of solid surfaces and nanosystems close to the bulk melting point. In the first…

Materials Science · Physics 2007-05-23 U. Tartaglino , T. Zykova-Timan , F. Ercolessi , E. Tosatti

Turbulent flows over porous substrates are studied via a systematic exploration of the dependence of the flow properties on the substrate parameters, including permeability $K$, grain pitch $L$, and depth $h$. The study uses direct…

Fluid Dynamics · Physics 2025-04-02 Zengrong Hao , Ricardo García-Mayoral

Accumulation layers with very large concentrations of electrons where many subbands are filled became recently available due to ionic liquid and other new methods of gating. The low temperature mobility in such layers is limited by the…

Mesoscale and Nanoscale Physics · Physics 2016-07-08 Han Fu , K. V. Reich , B. I. Shklovskii