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The problem of melting a crystal dendrite is modelled as a quasi-steady Stefan problem. By employing the Baiocchi transform, asymptotic results are derived in the limit that the crystal melts completely, extending previous results that hold…

Fluid Dynamics · Physics 2019-11-01 Liam C. Morrow , John R. King , Timothy J. Moroney , Scott W. McCue

We perform molecular dynamics and Monte Carlo simulations of two-dimensional melting with dipole-dipole interactions. Both static and dynamic behaviors are examined. In the isotropic liquid phase, the bond orientational correlation length 6…

Soft Condensed Matter · Physics 2008-06-24 Shizeng Lin , Bo Zheng , Steffen Trimper

We have employed the Density Functional Theory formalism to investigate the nematic-isotropic capillary transitions of a nematogen confined by walls that favor antagonist orientations to the liquid crystal molecules (hybrid cell). We…

Statistical Mechanics · Physics 2009-11-10 I. Rodriguez-Ponce , J. M. Romero-Enrique , L. F. Rull

Laser-based additive manufacturing offers a promising route for 3D printing of metallic parts. We evidence experimentally a particular columnar solidification microstructure in a Laser Powder-Bed Fusion processed Inconel 718 nickel-based…

Materials Science · Physics 2019-01-23 G. Boussinot , M. Apel , J. Zielinski , U. Hecht , J. H. Schleifenbaum

The thin interface limit aims at minimizing the effects arising from a numerical interface thickness, inherent in diffuse interface models of solidification and microstructure evolution such as the phase field model. While the original…

Materials Science · Physics 2020-03-18 Amol Subhedar , Peter K. Galenko , Fathollah Varnik

We investigate the Hubbard model on the anisotropic triangular lattice as a suggested effective description of the Mott phase in various triangular organic compounds. Employing the variational cluster approximation and the ladder…

Strongly Correlated Electrons · Physics 2015-10-13 Manuel Laubach , Ronny Thomale , Christian Platt , Werner Hanke , Gang Li

The axial next-nearest-neighbour Ising (ANNNI) model of finite thickness is studied. Using mean-field theory, Monte Carlo simulations, and low-temperature analyses, phase diagrams are determined, with a distinct phase diagram for each film…

Statistical Mechanics · Physics 2009-11-07 W. Selke , M. Pleimling , D. Catrein

We report a kinetic Monte Carlo modeling study of nanocrystal layer sintering. Features that are of interest for the dynamics of the layer as a whole, especially the morphology of the evolving structure, are considered. It is found that the…

Materials Science · Physics 2014-11-11 Vyacheslav Gorshkov , Vasily Kuzmenko , Vladimir Privman

Quantitative phase field models have been extensively used to study the solidification behavior of alloys under different conditions. However, a longstanding challenge of phase field models is the directional bias caused by the…

Materials Science · Physics 2023-09-06 Chao Tang , David Taiyen Wu , Siu Sin Quek

Despite its fundamental and technological importance, a microscopic understanding of the crystallization process is still elusive. By computer simulations of the hard-sphere model we reveal the mechanism by which thermal fluctuations drive…

Soft Condensed Matter · Physics 2012-06-29 John Russo , Hajime Tanaka

Gas-liquid-solid multiphase systems are ubiquitous in engineering applications, e.g. inkjet printing, spray drying and coating. Developing a numerical framework for modelling these multiphase systems is of great significance. An improved,…

Fluid Dynamics · Physics 2023-07-19 Huihuang Xia , Marc Kamlah

Simulating interactions between non-spherical colloidal particles is computationally challenging due to the complex dependency of forces and energies on their geometry. We introduce and evaluate both descriptor-based and end-to-end models…

Soft Condensed Matter · Physics 2025-09-22 B. Rusen Argun , Antonia Statt

Through an integrated macroscale/mesoscale computational model, we investigate the developing shape and grain morphology during the melting and solidification of a weld. In addition to macroscale surface tension driven fluid flow and heat…

Within self-consistent field theory we study the phase behaviour of a symmetric binary AB polymer blend confined into a thin film. The film surfaces interact with the monomers via short range potentials. One surface attracts the A component…

Statistical Mechanics · Physics 2009-10-31 M. Mueller , K. Binder , E. V. Albano

By adjusting the interface energy, curvature, and velocity, the anisotropy plays an important role in the interaction between interfacial processes and transport processes, determining the solidification structures. In this paper, through…

Materials Science · Physics 2022-10-31 Fengyi Yu

Phase-field methods offer a versatile computational framework for simulating large-scale morphological evolution. However, the applicability and predictability of phase-field models are inherently limited by their ad hoc nature, and there…

Materials Science · Physics 2025-10-30 Jaehyeok Jin , David R. Reichman

The anchoring of nematic liquid crystals on surfaces with grafted liquid crystalline chain molecules is studied by computer simulations and within a mean field approach. The computer simulations show that a swollen layer of collectively…

Materials Science · Physics 2009-11-07 Harald Lange , Friederike Schmid

In experimental systems, colloidal particles are virtually always at least somewhat polydisperse, which can have profound effects on their ability to crystallize. Unfortunately, accurately predicting the effects of polydispersity on phase…

Soft Condensed Matter · Physics 2025-10-09 Antoine Castagnède , Laura Filion , Frank Smallenburg

The crystal nucleation from liquid in most cases is too rare to be accessed within the limited timescales of the conventional molecular dynamics (MD) simulation. Here, we developed a "persistent embryo" method to facilitate crystal…

Materials Science · Physics 2018-02-27 Yang Sun , Huajing Song , Feng Zhang , Lin Yang , Zhuo Ye , Mikhail I. Mendelev , Cai-Zhuang Wang , Kai-Ming Ho

Liquid crystals are synthetic and biological viscoelastic anisotropic soft matter materials that combine liquid fluidity with crystal anisotropy and find use in optical devices, sensor/actuators, lubrication, super-fibers. Frequently…

Soft Condensed Matter · Physics 2013-11-22 Ezequiel R. Soule , Alejandro D. Rey