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Two types of surface models have been investigated by Monte Carlo simulations on triangulated spheres with compartmentalized domains. Both models are found to undergo a first-order collapsing transition and a first-order surface fluctuation…

Statistical Mechanics · Physics 2007-07-24 Hiroshi Koibuchi

Phase separation of multicomponent liquid mixtures plays an integral part in many processes ranging from industry to cellular biology. In many cases the morphology of coexisting phases is crucially linked to the function of the separated…

Soft Condensed Matter · Physics 2020-11-25 Sheng Mao , Milena S. Chakraverti-Wuerthwein , Hunter Gaudio , Andrej Kosmrlj

We examine the symmetry-breaking effect of fixed constellations of particles on the surface-directed spinodal decomposition of binary blends in the presence of particles whose surfaces have a preferential affinity for one of the components.…

Chemical Physics · Physics 2020-06-16 Supriyo Ghosh , Arnab Mukherjee , Raymundo Arroyave , Jack F. Douglas

We comprehensively study external forcing-driven dynamical structure formation in a binary dusty plasma mixture. Using two-dimensional driven-dissipative molecular dynamics simulations, we demonstrate phase segregation into bands and lanes…

Plasma Physics · Physics 2025-07-28 Farida Batool , Sandeep Kumar , Sanat Kumar Tiwari

Understanding the morphology formation process of solution-cast photoactive layers (PALs) is crucial to derive design rules for optimized and reliable third generation solar cell fabrication. For this purpose, a Phase-Field (PF)…

Materials Science · Physics 2023-10-19 Maxime Siber , Olivier J. J. Ronsin , Jens Harting

The present work studies the influence of nonlocal spatial coupling on the existence of localized structures in 1-dimensional extended systems. We consider systems described by a real field with a nonlocal coupling that has a linear…

Pattern Formation and Solitons · Physics 2017-02-01 Pere Colet , Manuel A. Matias , Lendert Gelens , Damia Gomila

A driven diffusive model of three types of particles that exhibits phase separation on a ring is introduced. The dynamics is local and comprises nearest neighbor exchanges that conserve each of the three species. For the case in which the…

Statistical Mechanics · Physics 2009-10-30 M. R. Evans , Y. Kafri , H. M. Koduvely , D. Mukamel

Inspired by recent experiments, we present a phase-field model of microphase separation in an elastomer swollen with a solvent. The imbalance between the molecular scale of demixing and the mesoscopic scale beyond which elasticity operates…

Soft Condensed Matter · Physics 2025-09-05 Manu Mannattil , Haim Diamant , David Andelman

The phase-separation process of a binary mixture with order-parameter-dependent mobility under shear flow is numerically studied. The ordering is characterized by an alternate stretching and bursting of domains which produce oscillations in…

Soft Condensed Matter · Physics 2021-12-14 G. Gonnella , A. Lamura

The formation of regular precipitate stripes in the wake of moving chemical reaction-diffusion fronts is investigated. Experiments on the $NaOH+CuCl_2$ reaction in PVA hydrogel yield stripes parallel or slightly oblique to the front that…

Materials Science · Physics 2007-05-23 Peter Hantz , Istvan Biro

We identify a phase transition between two kinds of volume-law entangled phases in non-local but few-body unitary dynamics with local projective measurements. In one phase, a finite fraction of the system belongs to a fully-entangled state,…

Quantum Physics · Physics 2020-05-08 Sagar Vijay

Lateral microsegregation in a monolayer of a binary mixture of particles or macromolecules is studied by MD simulations in a generic model with the interacting potentials inspired by effective interactions in biological or soft-matter…

Soft Condensed Matter · Physics 2025-05-26 M. Litniewski , W. T. Gozdz nd A. Ciach

The self-organization of proteins into enriched compartments and the formation of complex patterns are crucial processes for life on the cellular level. Liquid-liquid phase separation is one mechanism for forming such enriched compartments.…

Soft Condensed Matter · Physics 2025-04-07 Antonia Winter , Yuhao Liu , Alexander Ziepke , George Dadunashvili , Erwin Frey

We study a class of minimal geometric partial differential equations that serves as a framework to understand the evolution of boundaries between states in different pattern forming systems. The framework combines normal growth, curvature…

Analysis of PDEs · Mathematics 2023-11-06 James H. von Brecht , Scott G. McCalla , Eun Heui Kim

A class of models of driven diffusive systems which is shown to exhibit phase separation in $d=1$ dimensions is introduced. Unlike all previously studied models exhibiting similar phenomena, here the phase separated state is fluctuating in…

Statistical Mechanics · Physics 2009-11-07 Y. Kafri , E. Levine , D. Mukamel , G. M. Schutz , R. D. Willmann

We study self-assembly of a binary mixture of components A and B confined in a slit-like pore with the walls modified by the stripes of tethered brushes made of beads of a sort A. The emphasis is on solvent mediated transitions between…

Soft Condensed Matter · Physics 2013-03-26 Ja. M. Ilnytskyi , S. Sokolowski , T. Patsahan

The evolution of a crack front under mixed mode loading (I+III) is studied using a phase field model in 3 dimensions with no stress boundary conditions. As previously observed experimentally in gels, there is a relaxation toward a geometry…

Soft Condensed Matter · Physics 2016-08-24 Hervé Henry

In experiments on model membranes, a formation of large domains of different lipid composition is readily observed. However, no such phase separation is observed in the membranes of intact cells. Instead, a structure of small transient…

Soft Condensed Matter · Physics 2017-08-23 Timo Fischer , H. Jelger Risselada , Richard L. C. Vink

Biological mixtures such as the cytosol may consist of thousands of distinct components. There is now a substantial body of evidence showing that, under physiological conditions, intracellular mixtures can phase separate into spatially…

Soft Condensed Matter · Physics 2017-03-06 William M. Jacobs , Daan Frenkel

Phase separation in the Hubbard model is investigated with the dynamical cluster approximation. We find that it is present in the paramagnetic solution for values of filling smaller than one and at finite temperature when a positive…

Strongly Correlated Electrons · Physics 2007-05-23 A. Macridin , M. Jarrell , Th. Maier