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Domain decay is at the heart of the so-called evaporation-condensation Ostwald-ripening regime of phase ordering kinetics, where the growth of large domains occurs at the expense of smaller ones, which are expected to `evaporate'. We…

Statistical Mechanics · Physics 2024-06-06 Raphael Saiseau , Henri Truong , Thomas Guérin , Ulysse Delabre , Jean-Pierre Delville

Domain walls in equilibrium phase transitions propagate in a preferred direction so as to minimize the free energy of the system. As a result, initial spatio-temporal patterns ultimately decay toward uniform states. The absence of a…

patt-sol · Physics 2009-10-22 Aric Hagberg , Ehud Meron

We demonstrate that the evolution of wall-like inhomogeneities in run-away potentials, characteristic of dynamical supersymmetry breaking and moduli stabilisation, is very similar to the evolution of domain wall networks associated with…

High Energy Physics - Phenomenology · Physics 2008-11-26 Z. Lalak , S. Lola , P. Magnowski

Transition towards spatio-temporal chaos in one-dimensional interfacial patterns often involves two degrees of freedom: drift and out-of-phase oscillations of cells, respectively associated to parity breaking and vacillating-breathing…

Condensed Matter · Physics 2007-05-23 Philippe Brunet , Jean-Marc Flesselles , Laurent Limat

Phase decomposition is a well-known process leading to the formation of two-phase mixtures. Here we show that a strain imposed on a ferroelastic crystal promotes the formation of mixed phases and domains, i.e., domain and phase de-strain…

Materials Science · Physics 2016-12-21 Fei Xue , Yongjun Li , Yijia Gu , Jinxing Zhang , Long-Qing Chen

Phase separation of multicomponent lipid membranes is characterized by the nucleation and coarsening of circular membrane domains that grow slowly in time as $\sim t^{1/3}$, following classical theories of coalescence and Ostwald ripening.…

Soft Condensed Matter · Physics 2023-08-01 Daniel P. Arnold , Aakanksha Gubbala , Sho C. Takatori

Experiments on supported lipid bilayers featuring liquid ordered/disordered domains have shown that the spatial arrangement of the lipid domains and their chemical composition are strongly affected by the curvature of the substrate.…

Soft Condensed Matter · Physics 2021-02-17 Melissa Rinaldin , Piermarco Fonda , Luca Giomi , Daniela J. Kraft

A droplet can deform a soft substrate due to capillary forces when they are in contact. We study the static deformation of a soft solid layer coated on a rigid cylindrical fiber when an axisymmetric barrel-shaped droplet is embracing it. We…

Soft Condensed Matter · Physics 2023-07-26 Bo Xue Zheng , Christian Pedersen , Andreas Carlson , Tak Shing Chan

We study the formation of domain walls in a phase transition in which an S_5\times Z_2 symmetry is spontaneously broken to S_3\times S_2. In one compact spatial dimension we observe the formation of a stable domain wall lattice. In two…

High Energy Physics - Phenomenology · Physics 2009-11-10 Nuno D. Antunes , Levon Pogosian , Tanmay Vachaspati

A model of lipid bilayers made of a mixture of two lipids with different average compositions on both leaflets, is developed. A Landau hamiltonian describing the lipid-lipid interactions on each leaflet, with two lipidic fields $\psi_1$ and…

Soft Condensed Matter · Physics 2014-08-28 Guillaume Gueguen , Nicolas Destainville , Manoel Manghi

The problem of the sudden growth and coalescence of voids in elastic media is considered. The Dirichlet energy is minimized among incompressible and invertible Sobolev deformations of a two-dimensional domain having $n$ microvoids of radius…

Analysis of PDEs · Mathematics 2019-06-26 Victor Cañulef-Aguilar , Duvan Henao

We study the domain geometry during spinodal decomposition of a 50:50 binary mixture in two dimensions. Extending arguments developed to treat non-conserved coarsening, we obtain approximate analytic results for the distribution of domain…

Statistical Mechanics · Physics 2009-12-17 Alberto Sicilia , Yoann Sarrazin , Jeferson J. Arenzon , Alan J. Bray , Leticia F. Cugliandolo

Recent imaging experiments show a surprisingly robust regime of liquid-solid phase coexistence in a 2D electron system near the quantum melting/freezing transition, with the two phases mixed in mesoscopic domains. Strikingly, the…

Strongly Correlated Electrons · Physics 2025-02-18 Sandeep Joy , Brian Skinner

We have used molecular dynamics simulations for a comprehensive study of phase separation in a two-dimensional single component off-lattice model where particles interact through the Lennard-Jones potential. Via state-of-the-art methods we…

Soft Condensed Matter · Physics 2021-01-04 Jiarul Midya , Subir K. Das

We develop a theoretical framework for understanding dynamic morphologies and stability of droplet interface bilayers (DIBs), accounting for lipid kinetics in the monolayers and bilayer, and droplet evaporation due to imbalance between…

Soft Condensed Matter · Physics 2018-06-13 Benjamin Guiselin , Jack O. Law , Buddhapriya Chakrabarti , Halim Kusumaatmaja

Liquid crystal elastomers are cross-linked polymer networks covalently bonded with liquid crystal mesogens. In the nematic phase, due to strong coupling between mechanical strain and orientational order, these materials display…

Soft Condensed Matter · Physics 2011-11-04 Badel L. Mbanga , Fangfu Ye , Jonathan V. Selinger , Robin L. B. Selinger

When stretched in one direction, most solids shrink in the transverse directions. In soft silicone gels, however, we observe that small-scale topographical features grow upon stretching. A quantitative analysis of the topography shows that…

We consider a model with two real scalar fields which admits phantom domain wall solutions. We investigate the structure and evolution of these phantom domain walls in an expanding homogeneous and isotropic universe. In particular, we show…

General Relativity and Quantum Cosmology · Physics 2017-08-16 P. P. Avelino , V. M. C. Ferreira , J. Menezes , L. Sousa

We study the phase separation of binary lipid mixtures that form bicontinuous cubic phases. The competition between non-uniform Gaussian membrane curvature and line tension leads to a very rich phase diagram, where we observe symmetry…

Soft Condensed Matter · Physics 2016-08-24 Fabien Paillusson , Matthew R. Pennington , Halim Kusumaatmaja

Finding the ground states of identical particles packed on spheres has relevance for stabilizing emulsions and a venerable history in the literature of theoretical physics and mathematics. Theory and experiment have confirmed that defects…

Soft Condensed Matter · Physics 2017-09-13 Mark J. Bowick , David R. Nelson , Homin Shin
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