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Recent experiments and simulations have shown that two-dimensional systems can form tetratic phases with four-fold rotational symmetry, even if they are composed of particles with only two-fold symmetry. To understand this effect, we…

Soft Condensed Matter · Physics 2009-11-10 Jun Geng , Jonathan V. Selinger

We study how solidification of model freely rotating polymers under athermal quasistatic compression varies with their bond angle $\theta_0$. All systems undergo two discrete, first-order-like transitions: entanglement at $\phi =…

Soft Condensed Matter · Physics 2020-05-01 Joseph D. Dietz , Robert S. Hoy

In this journal, we study the phase-field model of solidification for numerical simulation of dendritic crystal growth that occurs during the casting of metals and alloys based on the kobayashi [1] model. Qualitative relationships between…

Numerical Analysis · Mathematics 2014-12-11 Rahul Sanal

A computational study of the growth of two-dimensional nematic spherulites in an isotropic phase was performed using a Landau-de Gennes type quadrupolar ensor order parameter model for the first-order isotropic/nematic transition of 5CB…

Chemical Physics · Physics 2008-11-29 Nasser Mohieddin Abukhdeir , Ezequiel R. Soule , Alejandro D. Rey

Our interest lies in exploring the ability of a coupled nonlocal system of two quasilinear parabolic partial differential equations to produce phase separation patterns. The obtained patterns are referred here as morphologies. Our target…

Statistical Mechanics · Physics 2023-08-09 Rainey Lyons , Stela Andrea Muntean , Emilio N. M. Cirillo , Adrian Muntean

Soft or Deformable Plate Tectonics in the sphere must follow geometric rules inferred from the orthographic projection. An analytic equivalent of this geometry can be derived by the application of Potential Field Methods in the case of…

Geophysics · Physics 2007-05-23 Antonio Ribeiro , Luis Matias , Rui Taborda

We simulate dendritic growth in directional solidification in dilute binary alloys using a phase-field model solved with an adaptive-mesh refinement. The spacing of primary branches is examined for a range of thermal gradients and alloy…

Materials Science · Physics 2009-11-10 Michael Greenwood , Mikko Haataja , Nikolas Provatas

In this work, a phase-field model is developed for the dendritic growth with gas bubbles in the solidification of binary alloys. In this model, a total free energy for the complex gas-liquid-dendrite system is proposed through considering…

Fluid Dynamics · Physics 2024-07-03 Chengjie Zhan , Zhenhua Chai , Dongke Sun , Baochang Shi , Shaoning Geng , Ping Jiang

We present the second set of benchmark problems for phase field models that are being jointly developed by the Center for Hierarchical Materials Design (CHiMaD) and the National Institute of Standards and Technology (NIST) along with input…

This paper presents the results of an extensive structural search of ternary solids containing lutetium, nitrogen and hydrogen. Based on thousands of thermodynamically stable structures, available online, the convex hull of the formation…

Superconductivity · Physics 2024-12-06 Moritz Gubler , Marco Krummenacher , Jonas A. Finkler , Stefan Goedecker

Polymerization of dendritic actin networks underlies important mechanical processes in cell biology such as the protrusion of lamellipodia, propulsion of growth cones in dendrites of neurons, intracellular transport of organelles and…

Biological Physics · Physics 2021-03-17 Rohan Abeyaratne , Prashant K. Purohit

Advanced phase-field techniques have been applied to address various aspects of polycrystalline solidification including different modes of crystal nucleation. The height of the nucleation barrier has been determined by solving the…

Double emulsion formation in a hierarchical flow-focusing channel is systematically investigated using a free energy ternary lattice Boltzmann model. A three dimensional formation regime diagram is constructed based on the capillary numbers…

Soft Condensed Matter · Physics 2020-06-24 Ningning Wang , Ciro Semprebon , Haihu Liu , Chuhua Zhang , Halim Kusumaatmaja

One of the major limitation of standard top-down technologies used in today's neuromorphic engineering is their inability to map the 3D nature of biological brains. Here, we show how bipolar electropolymerization can be used to engineer 3D…

Disordered Systems and Neural Networks · Physics 2021-07-14 Kamila Janzakova , Mahdi Ghazal , Ankush Kumar , Yannick Coffinier , Sébastien Pecqueur , Fabien Alibart

The linking number (topological entanglement) and the writhe (geometrical entanglement) of a model of circular double stranded DNA undergoing a thermal denaturation transition are investigated by Monte Carlo simulations. By allowing the…

Statistical Mechanics · Physics 2007-05-23 M. Baiesi , E. Orlandini , A. L. Stella

The morphological stability of two-dimensional islands nucleated on a substrate during vacuum or vapour-phase atom deposition is investigated. Using simple scaling arguments, it is shown that, contrary to expectation, dendritic islands may…

Statistical Mechanics · Physics 2007-05-23 Alberto Pimpinelli

Using two-dimensional magnetohydrodynamics calculations, we investigate a twist gen- eration mechanism on a magnetic flux tube at the base of the solar convection zone based on the idea of Choudhuri, 2003, Sol. Phys., 215, 31 in which a…

Solar and Stellar Astrophysics · Physics 2015-06-11 H. Hotta , T. Yokoyama

Even though our theoretical understanding of dendritic solidification is relatively well developed, our current ability to model this process quantitatively remains extremely limited. This is due to the fact that the morphological…

Materials Science · Physics 2007-05-23 Jean Bragard , Alain Karma , Youngyih H. Lee , Mathis Plapp

During grain growth in multiphase system, a convincing understanding on how the evolution kinetics of an individual phase-grains relates to the growth rate of entire microstructure is yet to be achieved. Therefore, in this work, comfortably…

Materials Science · Physics 2021-08-06 P G Kubendran Amos , Ramanathan Perumal , Arnd Koeppe , Britta Nestler

We investigate an electromagnetic instability in two-dimensional materials arising from an anisotropy of the Fermi surface, utilizing a kinetic model accounting for the effects of the values of temperature, chemical potential and anisotropy…

Materials Science · Physics 2025-06-27 Diogo Simões , Hugo Terças , Jorge Ferreira
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