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Using a phase-field model, we study the surface diffusion-controlled grooving of a moving grain boundary under the influence of an external magnetic field in thin films of a nonmagnetic material. The driving force for the grain boundary…

Mesoscale and Nanoscale Physics · Physics 2024-08-27 Soumya Bandyopadhyay , Somnath Bhowmick , Rajdip Mukherjee

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

Based on the thermodynamic variation to the free energy functional, we propose a sharp-interface model for simulating solid-state dewetting of thin films on rigid curved substrates in two dimensions. This model describes the interface…

Materials Science · Physics 2018-11-14 Wei Jiang , Yan Wang , David J. Srolovitz , Weizhu Bao

A multi-phase field model is employed to study the microstructural evolution of an alloy undergoing liquid dealloying. The model proposed extends upon the original approach of Geslin et al. to consider dealloying in the presence of grain…

Materials Science · Physics 2023-08-07 Nathan Bieberdorf , Mark D. Asta , Laurent Capolungo

This work is based upon a coupled, lattice-based continuum formulation that was previously applied to problems involving strong coupling between mechanics and mass transport; e.g. diffusional creep and electromigration. Here we discuss an…

Computational Physics · Physics 2007-05-23 Hashem M. Mourad , Krishna Garikipati

Using statistical field theory supplemented with molecular dynamics simulations, we consider premelting on the surface of ice as a generic consequence of broken hydrogen bonds at the boundary between the condensed and gaseous phases. A…

Statistical Mechanics · Physics 2015-06-22 David T. Limmer , David Chandler

We describe an optical scattering study of grain boundary premelting in water ice. Ubiquitous long ranged attractive polarization forces act to suppress grain boundary melting whereas repulsive forces originating in screened Coulomb…

Materials Science · Physics 2013-05-23 E. S. Thomson , Hendrik Hansen-Goos , L. A. Wilen , J. S. Wettlaufer

A mathematical model is developed to analyze the growth/decay rate of surface perturbations of an ultrathin metal film on an amorphous substrate (SiO_{2}). The formulation combines the approach of Mullins [J. Appl. Phys. v30, 77, 1959] for…

Materials Science · Physics 2015-06-25 Christopher Favazza , Ramki Kalyanaraman , Radhakrishna Sureshkumar

Grain-boundary grooving is a general phenomenon occurring in all polycrystalline materials at the intersection between the grain-boundary and the interface or free surface. It has been studied theoretically for some time. Grain-boundary…

Materials Science · Physics 2007-05-23 Mathieu Bouville

We demonstrate controlled material transport driven by temperature gradients in thin freely suspended smectic films. The films with submicrometer thicknesses and lateral extensions of several millimeters were studied in microgravity during…

Fluid Dynamics · Physics 2019-06-19 Torsten Trittel , Kirsten Harth , Christoph Klopp , Ralf Stannarius

Polycrystalline thin films can be unstable with respect to island formation (agglomeration) through grooving where grain boundaries intersect the free surface and/or thin film-substrate interface. We develop a phase-field model to study the…

Materials Science · Physics 2007-05-23 Mathieu Bouville , Shenyang Hu , Long-Qing Chen , Dongzhi Chi , David J Srolovitz

We present a molecular dynamics based method for computing accurately short-range structural forces resulting from the overlap of spatially diffuse solid-liquid interfaces at wetted grain boundaries close to the melting point. The method is…

Materials Science · Physics 2009-11-13 J. J. Hoyt , David Olmsted , Saryu Jindal , Mark Asta , Alain Karma

A numerical investigation of grain-boundary grooving by means of a Level Set method is carried out. An idealized polygranular interconnect which consists of grains separated by parallel grain boundaries aligned normal to the average…

Materials Science · Physics 2009-10-31 M. Khenner , A. Averbuch , M. Israeli , M. Nathan

We investigate the ability of a multi-order parameter phase field model with obstacle potentials to describe grain boundary premelting in equilibrium situations. In agreement with an energetic picture we find that the transition between dry…

We present a general phase-field model for grain-boundary grooving and agglomeration of polycrystalline alloy thin films. In particular, we study the effects of slow-diffusing species on grooving rate. As the groove grows, the slow species…

Materials Science · Physics 2007-05-23 Mathieu Bouville , Dongzhi Chi , David J. Srolovitz

The grain boundary (GB) mobility relates GB velocity to the thermodynamic driving forces and is central to our understanding of microstructure evolution in polycrystals. Recent molecular dynamics (MD) and experimental studies have shown…

Materials Science · Physics 2020-11-18 Kongtao Chen , Jian Han , David J. Srolovitz

We present systematic thermal conductivity measurements of suspended thin graphite ribbons, 234-527 nm thick, using a four-probe 3-omega method. Unlike recent reports of phonon hydrodynamics and exceptionally high thermal conductivity in…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Wonjae Jeon , Yu Pei , Xun Li , Lucas Lindsay , Sangyeop Lee , Renkun Chen

A numerical investigation of grain-boundary (GB) grooving by means of the Level Set (LS) method is carried out. GB grooving is emerging as a key element of electromigration drift in polycrystalline microelectronic interconnects, as…

Materials Science · Physics 2007-05-23 M. Khenner , A. Averbuch , M. Israeli , M. Nathan , E. Glickman

We use the sixth order linear parabolic equation \begin{equation} \frac{\partial y}{\partial t}=B\left(\alpha\frac{\partial^{6}y}{\partial x^{6}}-\frac{\partial^{4}y}{\partial x^{4}}\right),\ x\in \mathbb{R}_{+},\ t>0,\nonumber…

Analysis of PDEs · Mathematics 2023-12-12 H. Kalantarova , L. Klinger , E. Rabkin

Understanding the relationship between the microstructures and overall properties is one of the basic concerns for the material design and applications. As a ubiquitous structural configuration in nature, the folded morphology is also…

Materials Science · Physics 2021-04-15 Anran Wei , Fenglin Guo
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