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A random growth lattice filling model of percolation with touch and stop growth rule is developed and studied numerically on a two dimensional square lattice. Nucleation centers are continuously added one at a time to the empty sites and…

Statistical Mechanics · Physics 2018-06-13 Bappaditya Roy , S. B. Santra

Condensation and boiling are phase transitions highly relevant to industry, geology or atmospheric science. These phase transitions are initiated by the nucleation of a drop in a supersaturated vapor and of a bubble in an overstretched…

Soft Condensed Matter · Physics 2021-01-21 I. Sanchez-Burgos , P. Montero de Hijes , P. Rosales-Pelaez , C. Vega , E. Sanz

Nucleation phenomena commonly observed in our every day life are of fundamental, technological and societal importance in many areas, but some of their most intimate mechanisms remain however to be unravelled. Crystal nucleation, the early…

Disordered Systems and Neural Networks · Physics 2021-09-17 Sébastien Becker , Emilie Devijver , Rémi Molinier , Noël Jakse

One of the key observables in a gravitational wave power spectrum from a first order phase transition in the early Universe is the mean bubble spacing, which depends on the rate of nucleation of bubbles of the stable phase, as well as the…

General Relativity and Quantum Cosmology · Physics 2022-05-10 Mudhahir Al Ajmi , Mark Hindmarsh

We prove that time-periodic solutions arise via Hopf bifurcation in a finite closed system of coagulation-fragmentation equations. The system we treat is a variant of the Becker-Doering equations, in which clusters grow or shrink by…

Dynamical Systems · Mathematics 2020-04-22 Robert L. Pego , Juan J. L. Velázquez

Iron particles, with their non-volatile combustion mode, remain in the dispersed phase throughout the combustion process, causing the flow in a typical iron powder combustor to be particle-laden and turbulent. Preferential concentration is…

Fluid Dynamics · Physics 2026-04-07 Shyam Hemamalini , Bénédicte Cuenot , XiaoCheng Mi

We analyze the time profile $\Delta T(t)$ of the temperature difference, measured across a very compressible supercritical $^3$He fluid layer in its convective state. The experiments were done along the critical isochore in a…

Soft Condensed Matter · Physics 2009-11-07 Horst Meyer , Andrei B. Kogan

We consider the dynamics of diffusing particles in one space dimension with annihilation on collision and nucleation (creation of particles) with constant probability per unit time and length. The cases of nucleation of single particles and…

Statistical Mechanics · Physics 2009-11-07 S. Habib , K. Lindenberg , G. Lythe , C. Molina-Paris

The turbulent burning of nuclei is a common phenomenon in the evolution of stars. Here we examine a challenging case: the merging of the neon and oxygen burning shells in a 23 M$_{\odot}$ star. A previously unknown quasi-steady state is…

Solar and Stellar Astrophysics · Physics 2018-09-12 Miroslav Mocák , Casey Meakin , Simon Wattana Campbell , David Arnett

The thermonuclear explosion of a massive white dwarf in a Type Ia supernova explosion is characterized by vastly disparate spatial and temporal scales. The extreme dynamic range inherent to the problem prevents the use of direct numerical…

Astrophysics · Physics 2008-11-26 Ju Zhang , O. E. Bronson Messer , Alexei M. Khokhlov , Tomasz Plewa

The homogeneous Boltzmann equation for inelastic Maxwell mixtures is considered to study the dynamics of tracer particles or impurities (solvent) immersed in a uniform granular gas (solute). The analysis is based on exact results derived…

Statistical Mechanics · Physics 2013-01-21 V. Garzó , E. Trizac

Studies of nucleation generally focus on the properties of the critical cluster, but the presence of defects within the crystal lattice means that the population of nuclei necessarily evolve through a distribution of pre-critical clusters…

Soft Condensed Matter · Physics 2022-06-29 Richard K. Bowles , Peter Harrowell

Phase transformations such as freezing typically start with heterogeneous nucleation. Heterogeneous nucleation near a wetting transition, of a crystalline phase is studied. The wetting transition occurs at or near a vapour-liquid transition…

Statistical Mechanics · Physics 2009-11-07 Richard P. Sear

Nucleation on top of two-dimensional islands with step edge barriers is investigated using scaling arguments. The nucleation rate is expressed in terms of three basic time scales: The time interval between deposition events, the residence…

Materials Science · Physics 2009-10-31 Joachim Krug

We study conditions under which carbon clusters of different sizes form and stabilize. {We describe an approach to equilibrium by simulating tenuous carbon gas dynamics to long times.} First, we use reactive molecular dynamics simulations…

Astrophysics of Galaxies · Physics 2015-06-18 N. Patra , P. Kral , H. R. Sadeghpour

Nucleation and growth is the dominant relaxation mechanism driving first order phase transitions. In two-dimensional at systems nucleation has been applied to a wide range of problems in physics, chemistry and biology. Here we study…

Soft Condensed Matter · Physics 2016-03-09 Leopoldo R. Gomez , Nicolas A. Garcia , Vincenzo Vitelli , Jose Lorenzana , Daniel A. Vega

In the distributed burning regime, turbulence disrupts the internal structure of the flame, and so the idea of laminar burning propagated by conduction is no longer valid. The nature of the burning depends on the turbulent Damkohler number…

High Energy Astrophysical Phenomena · Physics 2011-07-14 A J Aspden , J B Bell , S E Woosley

First order phase transitions proceed via nucleation. The rate of nucleation varies exponentially with the free-energy barrier to nucleation, and so is highly sensitive to variations in this barrier. In practice, very few systems are…

Statistical Mechanics · Physics 2009-11-10 Richard P. Sear

It is an open fundamental question how the classical appearance of our environment arises from the underlying quantum many-body theory. We propose that phenomena involved in the quantum-to-classical transition can be probed in collisions of…

Quantum Physics · Physics 2024-04-02 A. Sreedharan , S Kuriyattil , S. Choudhury , R. Mukherjee , A. Streltsov , S. Wüster

By comparing the grain sizes under different nucleation conditions, the different nucleation mechanisms were investigated. The primitive nuclei origin at some specific interface, and subsequently disperse into the bulk melt with melt flow.…

Materials Science · Physics 2013-09-24 Xiaoping Ma
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