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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

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

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

Recently, it has been experimentally confirmed that non-equilibrium dynamics of phase separation in strongly ferromagnetic Bose-Einstein condensates of $^7$Li atoms obey the dynamic scaling law belonging to the binary-fluid universality…

Quantum Gases · Physics 2025-06-19 Ryuta Ito , Hiromitsu Takeuchi

We study the dynamics of domain formation and coarsening in a binary Bose-Einstein condensate that is quenched across a miscible-immiscible phase transition. The late-time evolution of the system is universal and governed by scaling laws…

Quantum Gases · Physics 2014-09-02 Johannes Hofmann , Stefan S. Natu , S. Das Sarma

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

We study the domain walls which form when Bose condensates acquire a double-well dispersion. Experiments have observed such domain walls in condensates driven across a $\mathbb{Z}_2$ symmetry-breaking phase transition in a shaken optical…

Quantum Gases · Physics 2017-01-04 Tongtong Liu , Logan W. Clark , Cheng Chin

The behavior of a phase separating binary mixture in uniform shear flow is investigated by numerical simulations and in a renormalization group (RG) approach. Results show the simultaneous existence of domains of two characteristic scales.…

Condensed Matter · Physics 2012-04-05 F. Corberi , G. Gonnella , A. Lamura

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

Phase separation is not only ubiquitous in diverse physical systems, but also plays an important organizational role inside biological cells. However, experimental studies of intracellular condensates (drops with condensed concentrations of…

Soft Condensed Matter · Physics 2021-11-01 Chiu Fan Lee

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

Molecular dynamics simulations with varying damping are used to examine the effects of inertia and spatial dimension on sheared disordered solids in the athermal, quasistatic limit. In all cases the distribution of avalanche sizes follows a…

Soft Condensed Matter · Physics 2015-03-17 K. Michael Salerno , Mark O. Robbins

We study the coarsening dynamics of a two dimensional system via lattice Boltzmann numerical simulations. The system under consideration is a biphasic system consisting of domains of a dispersed phase closely packed together in a continuous…

Soft Condensed Matter · Physics 2020-10-07 Francesca Pelusi , Mauro Sbragaglia , Roberto Benzi

We employ molecular dynamics simulations to investigate the domain morphology and growth kinetics of a vapor-liquid system embedded within a complex porous medium. By systematically varying the pore structure, we analyze the scaling…

Soft Condensed Matter · Physics 2025-06-12 Preethi M , Bhaskar Sen Gupta

With Monte Carlo methods, we investigate the relaxation dynamics of a domain wall in the two-dimensional random-field Ising model with a driving field. The short-time dynamic behavior at the depinning transition is carefully examined, and…

Statistical Mechanics · Physics 2012-02-10 N. J. Zhou , B. Zheng , Y. Y. He

Domain growth during the kinetics of phase separation is studied following vapor-liquid transition in a single component Lennard-Jones fluid. Results are analyzed after appropriately mapping the continuum snapshots obtained from extensive…

Statistical Mechanics · Physics 2015-05-27 Suman Majumder , Subir K. Das

We study how gradually changing the chemical potential causes a two-dimensional binary Bose gas to condense from vacuum to finite density, resulting in either a mixed (miscible) or separated (immiscible) state depending on interaction…

Quantum Gases · Physics 2025-10-15 Subhadeep Patra , Arko Roy , Seong-Ho Shinn , Adolfo del Campo , Mithun Thudiyangal

A detailed numerical study of the real space configuration of vortices in disordered superconductors using 2D London-Langevin model is presented. The magnetic field $B$ is varied between 0 and $B_{c2}$ for various pinning strengths…

Superconductivity · Physics 2009-11-10 Mahesh Chandran , R. T. Scalettar , G. T. Zimanyi

Anomalous coarsening in far-from equilibrium one-dimensional systems is investigated by simulation and analytic techniques. The minimal hard core particle (exclusion) models contain mechanisms of aggregated particle diffusion, with rates…

Statistical Mechanics · Physics 2009-11-10 Fabio D. A. Aarao Reis , Robin B. Stinchcombe

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
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