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Related papers: Self-Consistent Model of Polymerization-Induced Ph…

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This article is concerned with the internal feedback stabilization of the phase field system of Cahn-Hilliard type, modeling the phase separation in a binary mixture. Under suitable assumptions on an arbitrarily fixed stationary solution,…

Analysis of PDEs · Mathematics 2016-10-24 Viorel Barbu , Pierluigi Colli , Gianni Gilardi , Gabriela Marinoschi

We propose a novel phase-field model to predict elastic microphase separation in polymer gels. To this end, we extend the Cahn-Hilliard free-energy functional to incorporate an elastic strain energy and a coupling term. These contributions…

Materials Science · Physics 2025-05-05 Hamza Oudich , Pietro Carrara , Laura De Lorenzis

We study a system of purely repulsive spherical self-propelled particles in the minimal set-up inducing Motility-Induced Phase Separation (MIPS). We show that, even if explicit alignment interactions are absent, a growing order in the…

Statistical Mechanics · Physics 2020-02-26 Lorenzo Caprini , Umberto Marini Bettolo Marconi , Andrea Puglisi

A striking feature of the collective behavior of spherical microswimmers is that for sufficiently strong self-propulsion they phase-separate into a dense cluster coexisting with a low-density dis- ordered surrounding. Extending our previous…

Soft Condensed Matter · Physics 2016-10-31 Johannes Blaschke , Maurice Maurer , Karthik Menon , Andreas Zöttl , Holger Stark

The Ohta-Kawasaki equation models the mesoscopic phase separation of immiscible polymer chains that form diblock copolymers, with applications in directed self-assembly for lithography. We perform a mathematical analysis of this model under…

Numerical Analysis · Mathematics 2026-02-05 Aaron Brunk , Marvin Fritz

We present theory and simulation of simultaneous chemical demixing and phase ordering in a polymer-liquid crystal mixture in conditions where isotropic-isotropic phase separation is metastable with respect to isotropic-nematic phase…

Soft Condensed Matter · Physics 2015-06-17 Ezequiel R. Soulé , Alejandro D. Rey

In this work, we study a system of coupled Cahn-Hilliard equations describing the phase separation of a copolymer and a homopolymer blend. The numerical methods we propose are based on suitable combinations of existing schemes for the…

Numerical Analysis · Mathematics 2021-04-07 Mattia Martini , Giacomo Enrico Sodini

Collectives of actively-moving particles can spontaneously separate into dilute and dense phases -- a fascinating phenomenon known as motility-induced phase separation (MIPS). MIPS is well-studied for randomly-moving particles with no…

Biological Physics · Physics 2023-01-31 Hongbo Zhao , Andrej Košmrlj , Sujit S. Datta

Self-propelled particles that are subject to noise are a well-established generic model system for active matter. A homogeneous alignment field can be used to orient the direction of the self-propulsion velocity and to model systems like…

Statistical Mechanics · Physics 2024-03-06 Sameh Othman , Jiarul Midya , Thorsten Auth , Gerhard Gompper

The formulation of a model for the evolution of the flow of a solid-liquid mixture (coal-water) in a horizontal pipeline with partial phase separation is the aim of this work. Problems of instabilities due to complex eigenvalues, observed…

Fluid Dynamics · Physics 2010-12-14 Alessandro Speranza

Polymer dynamics is analyzed through the lens of linear dimensionality reduction methods, in particular principal (PCA) and time-lagged independent component analysis (tICA). For a polymer undergoing ideal Rouse dynamics, the slow modes…

Soft Condensed Matter · Physics 2025-08-12 Phillip Bement , Joerg Rottler

We examine the demixing transition in star polymer-colloid mixtures for star arm numbers f=2,6,16,32 and different star-colloid size ratios. Theoretically, we solve the thermodynamically self-consistent Rogers-Young integral equations for…

We describe and demonstrate a method for increasing the resolution locally in a Smoothed Particle Hydrodynamic (SPH) simulation, by splitting particles. We show that in simulations of self-gravitating collapse (of the sort which are…

Astrophysics · Physics 2009-11-07 S. Kitsionas , A. P. Whitworth

Previous research focused on two different mechanisms of microstructure stabilization in alloys: thermodynamic stabilization by reducing the grain boundary (GB) free energy and kinetic stabilization by suppressing the GB mobility by solute…

Materials Science · Physics 2026-02-12 Omar Hussein , Yuri Mishin

Room temperature ionic liquids are attractive to numerous applications and particularly, to renewable energy devices. As solvent free electrolytes, they demonstrate a paramount connection between the material morphology and Coulombic…

Chemical Physics · Physics 2016-03-15 Nir Gavish , Arik Yochelis

We study non-equilibrium phases for interacting two-dimensional self-propelled particles with isotropic pair-wise interactions using a persistent kinetic Monte Carlo (MC) approach. We establish the quantitative phase diagram, including the…

Soft Condensed Matter · Physics 2019-04-17 Juliane U. Klamser , Sebastian C. Kapfer , Werner Krauth

Differences in activities in colloidal particles are sufficient to drive phase separation between active and passive (or less active) particles, even if they have only excluded volume interactions. In this paper, we study the phase…

Soft Condensed Matter · Physics 2020-05-27 Efe Ilker , Jean-François Joanny

We study phase separation in a system of hard-core particles driven by a fluctuating two-dimensional self-affine potential landscape which evolves through Kardar-Parisi-Zhang (KPZ) dynamics. We find that particles tend to cluster together…

Statistical Mechanics · Physics 2007-05-23 G. Manoj , Mustansir Barma

Recent experiments in some polymer melts quenched below the melting temperature have reported spinodal kinetics in small-angle X ray scattering before the emergence of crystalline structure. To explain these observations we propose that the…

Soft Condensed Matter · Physics 2009-10-31 Peter D. Olmsted , Wilson C. K. Poon , T. C. B. McLeish , N. J. Terrill , A. J. Ryan

Active particles may undergo phase separation when interactions oppose self-propulsion, in the absence of any cohesive forces. The corresponding Motility-Induced Phase Separation (MIPS) is arguably the simplest non-trivial collective…

Soft Condensed Matter · Physics 2023-12-19 Jérémy O'Byrne , Alexandre Solon , Julien Tailleur , Yongfeng Zhao