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Lattice defects in crystalline materials create long-range elastic fields which can be modelled on the atomistic scale using an infinite system of discrete nonlinear force balance equations. Starting with these equations, this work…

Analysis of PDEs · Mathematics 2022-08-10 Julian Braun , Thomas Hudson , Christoph Ortner

Nucleation is an activated process in which the system has to overcome a free energy barrier in order for a first-order phase transition between the metastable and the stable phases to take place. In the liquid-to-solid transition the…

Soft Condensed Matter · Physics 2016-11-28 John Russo , Hajime Tanaka

Solidification pattern during nonequilibrium crystallization is among the most important microstructures in the nature and technical realms. Phase field crystal (PFC) model could simulate the pattern formation during equilibrium…

Materials Science · Physics 2021-04-12 Kun Wang , Shifang Xiao , Jun Chen , Wangyu Hu

Recent breakthrough experiments on dipolar condensates have reported the creation of supersolids, including two-dimensional arrays of quantum droplets. Droplet arrays are, however, not the only possible non-trivial density arrangement…

Quantum Gases · Physics 2022-12-14 Albert Gallemí , Luis Santos

We introduce a model for fractures in quenched disordered media. This model has a deterministic extremal dynamics, driven by the energy function of a network of springs (Born Hamiltonian). The breakdown is the result of the cooperation…

Statistical Mechanics · Physics 2009-10-31 G. Caldarelli , R. Cafiero , A. Gabrielli

We report an experimental investigation of the transition from a hexagonally ordered solid phase to a disordered liquid in a monolayer of vibrated spheres. The transition occurs as the intensity of the vibration amplitude is increased.…

Soft Condensed Matter · Physics 2009-11-11 J. S. Olafsen , J. S. Urbach

An asymptotic interface equation for directional solidification near the absolute stabiliy limit is extended by a nonlocal term describing a shear flow parallel to the interface. In the long-wave limit considered, the flow acts…

Condensed Matter · Physics 2009-11-07 Yannick Marietti , Jean-Marc Debierre , Thomas-Michael Bock , Klaus Kassner

In scattering experiments, the dynamical structure factor (DSF) characterizes inter-particle correlations and their time evolution. We analytically evaluated the DSF of disordered solids with disorder in the spring constant, by averaging…

Disordered Systems and Neural Networks · Physics 2021-05-21 Bingyu Cui , Alessio Zaccone , Eugene Terentjev

We present a theoretical and experimental study of light transport in disordered media with strongly heterogeneous distribution of scatterers formed via non-scattering regions. Step correlations induced by quenched disorder are found to…

Disordered Systems and Neural Networks · Physics 2014-03-05 Tomas Svensson , Kevin Vynck , Erik Adolfsson , Andrea Farina , Antonio Pifferi , Diederik S. Wiersma

Disordered systems like liquids, gels, glasses, or granular materials are not only ubiquitous in daily life and in industrial applications but they are also crucial for the mechanical stability of cells or the transport of chemical and…

Disordered Systems and Neural Networks · Physics 2019-04-30 Zhen Zhang , Walter Kob

We use numerical simulations and linear stability analysis to study the dynamics of an active liquid crystal film on a substrate in the regime where the passive system would be isotropic. Extensile activity builds up local orientational…

Soft Condensed Matter · Physics 2023-09-26 Fernando Caballero , Zhihong You , M. Cristina Marchetti

We analyze the structure and stability of the transition layer (or front) that connects the cold neutral medium and warm neutral medium in the plane-parallel geometry. Such fronts appear in recent numerical simulations of a thermally…

Astrophysics · Physics 2008-11-26 Tsuyoshi Inoue , Shu-ichiro Inutsuka , Hiroshi Koyama

When a nematic liquid crystal is confined in a porous medium with strong anchoring conditions, topological defects, called disclinations, are stably formed with numerous possible configurations. Since the energy barriers between them are…

Soft Condensed Matter · Physics 2015-06-12 Takeaki Araki

Melting of two-dimensional (2D) equilibrium crystals, from superconducting vortex lattices to colloidal structures, is a complex phenomenon characterized by the sequential loss of positional and orientational order. Whereas melting…

Soft Condensed Matter · Physics 2021-10-27 Martin James , Dominik Anton Suchla , Jörn Dunkel , Michael Wilczek

Confinement can significantly alter fluid properties, offering potential for specific technological applications. However, achieving precise control over the structural complexity of confined fluids and soft matter remains challenging, as…

Soft Condensed Matter · Physics 2024-11-20 Fabio Leoni , Erdal C. Oğuz , Giancarlo Franzese

Morphological instability of the solid-liquid interface occuring in a crystal growing from an undercooled thin liquid being bounded on one side by a free surface and flowing down inclined plane is investigated by a linear stability analysis…

Materials Science · Physics 2009-11-10 K. Ueno

Apart from not having crystallized, supercooled liquids can be considered as being properly equilibrated and thus can be described by a few thermodynamic control variables. In contrast, glasses and other amorphous solids can be arbitrarily…

Disordered Systems and Neural Networks · Physics 2017-10-10 Vassiliy Lubchenko , Peter G. Wolynes

The observed rapid onset of star formation in molecular clouds requires rapid formation of dense fragments which can collapse individually before being overtaken by global gravitationally-driven flows. Many previous investigations have…

Astrophysics · Physics 2009-11-13 F. Heitsch , L. Hartmann , A. Burkert , ;

We consider simulations of Wigner crystals interacting with random quenched disorder in the presence of thermal fluctuations. When quenched disorder is absent, there is a well defined melting temperature determined by the proliferation of…

Mesoscale and Nanoscale Physics · Physics 2024-04-23 C. Reichhardt , C. J. O. Reichhardt

The theory of phase ordering dynamics -- the growth of order through domain coarsening when a system is quenched from the homogeneous phase into a broken-symmetry phase -- is reviewed, with the emphasis on recent developments. Interest will…

Condensed Matter · Physics 2015-06-25 A. J. Bray
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