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Related papers: Geometry of phase separation

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The domain-area distribution in the phase transition dynamics of ${\rm Z}_2$ symmetry breaking is studied theoretically and numerically for segregating binary Bose--Einstein condensates in quasi-two-dimensional systems. Due to the dynamic…

Quantum Gases · Physics 2018-01-18 Hiromitsu Takeuchi

The internal structure of domains smaller than the characteristic size in domain coarsening dynamics of $Z_2$ symmetry breaking is evaluated theoretically for different phase ordering systems in two dimensions. In the previous works on…

Statistical Mechanics · Physics 2019-07-04 Hiromitsu Takeuchi

In an attempt to characterize the distribution of forms and shapes of nodal domains in wave functions, we define a geometric parameter - the ratio $\rho$ between the area of a domain and its perimeter, measured in units of the wavelength…

Chaotic Dynamics · Physics 2015-06-26 Yehonatan Elon , Sven Gnutzmann , Christian Joas , Uzy Smilansky

Kinetics of phase separation in a three dimensional single-component Lennard-Jones fluid, that exhibits vapor-liquid transition, is studied via molecular dynamics simulations after quenching homogeneous systems, of different overall…

Statistical Mechanics · Physics 2018-03-09 Sutapa Roy , Subir K. Das

A description of phase separation kinetics for solid binary (A,B) mixtures in thin film geometry based on the Kawasaki spin-exchange kinetic Ising model is presented in a discrete lattice molecular field formulation. It is shown that the…

Statistical Mechanics · Physics 2009-11-13 Subir K. Das , Jürgen Horbach , Kurt Binder

Domain size distribution in phase separating binary Bose--Einstein condensates is studied theoretically by numerically solving the Gross--Pitaevskii equations at zero temperature. We show that the size distribution in the domain patterns…

Quantum Gases · Physics 2018-01-18 Hiromitsu Takeuchi

We carried out three-dimensional simulations, with about 1.4 million particles, of phase segregation in a low density binary fluid mixture, described mesoscopically by energy and momentum conserving Boltzmann-Vlasov equations. Using a…

patt-sol · Physics 2008-02-03 S. Bastea , J. L. Lebowitz

After a zero temperature quench, we study the kinetics of the one-dimensional Ising model with long-range interactions between spins at distance $r$ decaying as $r^{-\alpha}$, with $\alpha \le 1$. As shown in our recent study [SciPost Phys…

Statistical Mechanics · Physics 2023-08-09 Federico Corberi , Manoj Kumar , Eugenio Lippiello , Paolo Politi

We employ the state-of-the-art molecular dynamics simulations to study the kinetics of phase separation and aging phenomena of segregating binary fluid mixtures imbibed in porous materials. Different random porous structures are considered…

Soft Condensed Matter · Physics 2022-12-07 Rounak Bhattacharyya , Bhaskar Sen Gupta

Phase coarsening is a fundamental process of microstructure evolution in multiphase materials. A thorough understanding of its kinetics is of great significance for material processing and performance. Generally, coarsening can be divided…

Materials Science · Physics 2022-04-27 Yue Li , Zhijun Wang , Xianghan Gao , Yujian Wang , Junjie Li , Jincheng Wang

We perform computer simulations of a Cahn-Hilliard model of phase separation which has dynamical asymmetry between the two coexisting phases. The dynamical asymmetry is incorporated by considering a mobility function which is order…

Soft Condensed Matter · Physics 2009-10-31 Rajeev Ahluwalia

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

In pattern-forming systems, competition between patterns with different wave numbers can lead to domain structures, which consist of regions with differing wave numbers separated by domain walls. For domain structures well above threshold…

patt-sol · Physics 2015-06-26 David Raitt , Hermann Riecke

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

We investigate dynamics of large scale and slow deformations of layered structures. Starting from the respective model equations for a non-conserved system, a conserved system and a binary fluid, we derive the interface equations which are…

Soft Condensed Matter · Physics 2009-10-30 Takao Ohta , David Jasnow

The concept of Schramm-Loewner evolution provides a unified description of domain boundaries of many lattice spin systems in two dimensions, possibly even including systems with quenched disorder. Here, we study domain walls in the…

Statistical Mechanics · Physics 2015-03-17 Jacob D. Stevenson , Martin Weigel

The kinetic roughening of a driven interface between three dimensional spin-up and spin-down domains in a model with non-conserved scalar order parameter and quenched disorder is studied numerically within a discrete time dynamics at zero…

Disordered Systems and Neural Networks · Physics 2015-06-25 M. Jost , K. D. Usadel

By performing lattice Boltzmann simulations of a binary mixture, we scrutinize the dynamical scaling hypothesis for the spinodal decomposition of binary mixtures for the crossover region, i.e. the region of parameters in the growth curve…

Soft Condensed Matter · Physics 2007-05-23 Ignacio Pagonabarraga , Alexander J. Wagner , M. E. Cates

Percolation theory is applied to the phase-transition dynamics of domain pattern formation in segregating binary Bose--Einstein condensates in quasi-two-dimensional systems. Our finite-size-scaling analysis shows that the percolation…

Quantum Gases · Physics 2015-10-14 Hiromitsu Takeuchi , Yumiko Mizuno , Kentaro Dehara

We study the coarsening of strongly microphase separated membrane domains in the presence of recycling of material. We study the dynamics of the domain size distribution under both scale-free and size-dependent recycling. Closed form…

Subcellular Processes · Quantitative Biology 2018-05-11 S. Alex Rautu , G. Rowlands , M. S. Turner
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