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The mechanical response of cellular materials with spinodal topologies is numerically and experimentally investigated. Spinodal microstructures are generated by the numerical solution of the Cahn-Hilliard equation. Two different topologies…

Materials Science · Physics 2019-04-16 Meng-Ting Hsieh , Bianca Endo , Yunfei Zhang , Jens Bauer , Lorenzo Valdevit

We study the theoretical phase behavior of an asymmetric binary mixture of hard spheres, of which the smaller component is monodisperse and the larger component is polydisperse. The interactions are modeled in terms of the second virial…

Statistical Mechanics · Physics 2019-12-09 Luka Sturtewagen , Erik van der Linden

The surface directed spinodal decomposition of a binary liquid confined inside cylindrical pore is investigated using molecular dynamics simulation. One component of the liquid wets the pore surface while the other remains neutral. A…

Soft Condensed Matter · Physics 2023-09-19 Daniya Davis , Bhaskar Sen Gupta

The Cahn-Hilliard equation is a fundamental model for describing phase separation phenomena in binary mixtures. Traditional numerical methods, such as finite difference and finite element methods, often incur substantial computational cost,…

Numerical Analysis · Mathematics 2026-05-26 Yi Liu , Shuting Gu

Tailoring the nanomorphology of organic photoactive layers through a specialized chain of processing steps is an imperative challenge on the path towards reliable and performant organic electronic manufacturing. This hurdle generally proves…

Materials Science · Physics 2025-12-19 Maxime Siber , Olivier J. J. Ronsin , Gitti L. Frey , Jens Harting

Using a recently-proposed mathematical model for intercalation dynamics in phase-separating materials [Singh, Ceder, Bazant, Electrochimica Acta 53, 7599 (2008)], we show that the spinodal and miscibility gaps generally shrink as the host…

Materials Science · Physics 2016-09-21 Damian Burch , Martin Z. Bazant

A previously developed fundamental measure fucntional [J. Chem. Phys. vol.107, 6379 (1997)] is used to study the phase behavior of a system of parallel hard cubes. The single-component fluid exhibits a continuous transition to a solid with…

Soft Condensed Matter · Physics 2009-10-31 Y. Martinez-Raton , J. A. Cuesta

In this work, the cryoscopic decrease effect, as a function of the NaCl concentration, on the carbon dioxide (CO$_2$) hydrate dissociation line conditions has been determined through molecular dynamic simulations. In particular, we have…

Soft Condensed Matter · Physics 2025-03-11 A. Borrero , A. Díaz-Acosta , S. Blazquez , I. M. Zerón , J. Algaba , M. M. Conde , F. J. Blas

We use molecular dynamics simulations to study the behavior of a compressible Lennard-Jones fluid in simple shear flow in a two-dimensional nanochannel. The system is equilibrated in the fluid phase close to the triple point at which gas,…

Soft Condensed Matter · Physics 2017-03-31 Madhu Priya , Yitzhak Rabin

The detailed nature of spatially heterogeneous dynamics of glycerol-silica nanocomposites is unraveled by combining dielectric spectroscopy with atomistic simulation and statistical mechanical theory. Analysis of the spatial mobility…

We computationally studied the phase behavior and dynamics of binary mixtures of active particles, where each 'species' had distinct activities leading to distinct velocities, fast and slow. We obtained phase diagrams demonstrating…

Soft Condensed Matter · Physics 2019-09-09 Thomas Kolb , Daphne Klotsa

We use dissipative particle dynamics (DPD) simulations to study the effect of shear on domain morphology and kinetics of microphase separating critical diblock copolymer (BCP) bulk melts. The melt is confined within two parallel solid walls…

Soft Condensed Matter · Physics 2022-09-21 Ashish Kumar Singh , Awaneesh Singh

We study low-salt, binary aqueous suspensions of charged colloidal spheres of size ratio Phi = 0.57, number densities below the eutectic number density n_E, and number fractions of p = 1.00-0.40. The typical phase obtained by solidification…

Soft Condensed Matter · Physics 2023-03-29 Nina Lorenz , Ishan Gupta , Thomas Palberg

In simulations of a water-like model (ST2) that exhibits a liquid-liquid phase transition, we test for the occurrence of a thermodynamic region in which the liquid can be modelled as a two-component mixture. We assign each molecule to one…

Statistical Mechanics · Physics 2011-03-24 Megan J. Cuthbertson , Peter H. Poole

We apply lattice Boltzmann method to study the phase separation of a two-dimensional binary fluid mixture in shear flow. The algorithm can simulate systems described by the Navier-Stokes and convection-diffusion equations. We propose a new…

Condensed Matter · Physics 2009-10-31 A. Lamura , G. Gonnella

We study the out-of-equilibrium spinodal-like behavior of three-dimensional (3D) $q$-state Potts models (for $q\ge 3$), observed when the temperature is quenched across the first-order transition (FOT) point $\beta_{\rm fo}=T_{\rm…

Statistical Mechanics · Physics 2026-05-21 Andrea Pelissetto , Davide Rossini , Ettore Vicari

We study a Cahn-Hilliard model for phase separation in composite materials with multiple periodic microstructures. These are modeled by considering a highly oscillating potential. The focus of this paper is in the case where the scales of…

Analysis of PDEs · Mathematics 2026-02-16 Riccardo Cristoferi , Luca Pignatelli

A coupled system of nonlinear mixed-type equations modeling early stages of angiogenesis is analyzed in a bounded domain. The system consists of stochastic differential equations describing the movement of the positions of the tip and stalk…

Analysis of PDEs · Mathematics 2022-06-24 Markus Fellner , Ansgar Jüngel

Segregation to grain boundaries affects their cohesion, corrosion and embrittlement and plays a critical role in heterogeneous nucleation. In order to quantitatively study segregation and phase separation at grain boundaries, we derive a…

A phase-field model for two-phase immiscible, incompressible porous media flow with surface tension effects is considered. The pore-scale model consists of a strongly coupled system of Stokes-Cahn-Hilliard equations. The fluids are…

Analysis of PDEs · Mathematics 2023-01-25 Nitu Lakhmara , Hari Shankar Mahato
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