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In this article we consider the inhomogeneous incompressible Euler equations describing two fluids with different constant densities under the influence of gravity as a differential inclusion. By considering the relaxation of the…

Analysis of PDEs · Mathematics 2021-06-15 Björn Gebhard , József J. Kolumbán , László Székelyhidi

We introduce a new phase-field formulation of rapid alloy solidification that quantitatively incorporates nonequilibrium effects at the solid-liquid interface over a very wide range of interface velocities. Simulations identify a new…

Materials Science · Physics 2023-01-16 Kaihua Ji , Elaheh Dorari , Amy J. Clarke , Alain Karma

We present the results of simulation studies of a model binary metal-metalloid alloy in which we characterize and explain the local coordination structure, the intermediate structure associated with the packing of these coordination…

Soft Condensed Matter · Physics 2019-06-19 Julián R. Fernández , Peter Harrowell

Liquid mixtures of many interacting components often exhibit numerous coexisting types of droplets. An exciting example is the cytosol of biological cells, where diverse droplets, called condensates, are essential for cellular function.…

Soft Condensed Matter · Physics 2025-05-28 Yicheng Qiang , Chengjie Luo , David Zwicker

The evolution of the amplitude of two nonlinearly interacting waves is considered, via a set of coupled nonlinear Schroedinger-type equations. The dynamical profile is determined by the wave dispersion laws (i.e. the group velocities and…

Pattern Formation and Solitons · Physics 2009-11-11 I. Kourakis , P. K. Shukla

Proposed to study the dynamics of physiological systems in which the evolution depends on the state in a previous time, the Mackey-Glass model exhibits a rich variety of behaviors including periodic or chaotic solutions in vast regions of…

Disordered Systems and Neural Networks · Physics 2021-12-22 Juan P. Tarigo , Cecilia Stari , Cecilia Cabeza , Arturo C. Marti

Mixtures of several macromolecular species can lead to the formation of higher-order structures that often display non-ideal mixing behavior. In this work, we propose a minimal model of a quaternary system which considers the formation of a…

Soft Condensed Matter · Physics 2022-12-14 Ruoyao Zhang , Sheng Mao , Mikko Haataja

Partially phase-separated liquid-crystal/polymer dispersions display highly fibrillar domain morphologies that are dramatically different from the typical structures found in isotropic mixtures. To explain this, we numerically explore the…

Soft Condensed Matter · Physics 2009-10-31 Amelia M. Lapena , Sharon C. Glotzer , Stephen A. Langer , Andrea J. Liu

An analytical framework is proposed to describe the elasticity, viscosity and fragility of metallic glasses in relation to their atomic-level structure and the effective interatomic interaction. The bottom-up approach starts with forming an…

Soft Condensed Matter · Physics 2016-08-15 Alexandra E. Lagogianni , Johannes Krausser , Zach Evenson , Konrad Samwer , A Zaccone

Many natural and engineering systems involve the mixing of two fluid streams, in which the effects of density and viscosity gradients play important roles in determining flow stability. We perform linear stability calculations for a jet…

Fluid Dynamics · Physics 2023-02-08 Jinwei Yang , Vinod Srinivasan

Quantum mechanical equations of motion are strictly linear in state descriptors, such as wavefunctions and density matrices, but equations describing chemical kinetics and hydrodynamics may be non-linear in concentrations. This…

Chemical Physics · Physics 2025-05-06 Anupama Acharya , Madhukar Said , Sylwia J. Barker , Marcel Utz , Bruno Linclau , Ilya Kuprov

A linear stability analysis of the hydrodynamic equations with respect to the homogeneous cooling state is carried out to identify the conditions for stability as functions of the wave vector, the dissipation, and the density. In contrast…

Statistical Mechanics · Physics 2009-11-11 Vicente Garzo

Review of selected fundamental topics on the interaction between phase transformations, fracture, and other structural changes in inelastic materials is presented. It mostly focuses on the concepts developed in the author's group over last…

Materials Science · Physics 2021-08-24 Valery I. Levitas

The thermodynamic model of ultrathin lubricant film melting, confined between two atomically-flat solid surfaces, is built using the Landau phase transition approach. Non-equilibrium entropy is introduced describing the part of thermal…

Statistical Mechanics · Physics 2015-03-13 L. S. Metlov , A. V. Khomenko , I. A. Lyashenko

Colloidal model systems allow studying crystallization kinetics under fairly ideal conditions with rather well characterized pair interactions and minimized external influences. In complementary approaches therefore experiment, analytic…

Soft Condensed Matter · Physics 2015-06-19 Thomas Palberg

In Al2O3 suspensions, depending on the experimental conditions very different microstructures can be found, comprising fluid like suspensions, a repulsive structure, and a clustered microstructure. For technical processing in ceramics, the…

Soft Condensed Matter · Physics 2007-05-23 Martin Hecht , Jens Harting , Hans J. Herrmann

This study contributes to the body of work on instabilities in the homogeneous cooling system focusing on clustering in the multiphase gas-particle system. The critical system size for the onset of instability, $L^*_c$, is studied via three…

Fluid Dynamics · Physics 2018-09-13 William D. Fullmer , Xiaoqi Li , Xiaolong Yin , Christine M. Hrenya

Pattern formation often occurs in spatially extended physical, biological and chemical systems due to an instability of the homogeneous steady state. The type of the instability usually prescribes the resulting spatio-temporal patterns and…

Pattern Formation and Solitons · Physics 2015-04-14 David Schueler , Sergio Alonso , Alessandro Torcini , Markus Baer

Using a carefully justified development of Debye-Huckel theory for highly asymmetric electrolytes, one finds that a region of expanded phase instability, or miscibility gap, can appear for charge-stabilised colloidal suspensions at high…

Statistical Mechanics · Physics 2007-05-23 Patrick B. Warren

We investigate the heterogeneous dynamics in a model, where chemical gelation and glass transition interplay, focusing on the dynamical susceptibility. Two independent mechanisms give raise to the correlations, which are manifested in the…

Soft Condensed Matter · Physics 2017-05-09 Antonio de Candia , Annalisa Fierro , Raffaele Pastore , Massimo Pica Ciamarra , Antonio Coniglio
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