Domain statistics in coarsening systems

Domain statistics in coarsening systems

We study the domain number and size distributions in the one-dimensional Ising and q-state Potts models subject to zero-temperature Glauber dynamics. The survival probability of a domain S(t);t and an unreacted domain Q1(t);t 2d are characterized by two independent nontrivial exponents. For the Ising case, we find c50.126 and d51.27 using numerical simulations. We develop an independent interva...

Domain coarsening in electroconvection.

We report on experimental measurements of the growth of regular domains evolving from an irregular pattern in electroconvection. The late-time growth of the domains is consistent with the size of the domains scaling as t(n). We use two isotropic measurements of the domain size: the structure factor and the domain wall length. Measurements using the structure factor are consistent with t(1/5) gr...

Domain Coarsening in Thin Films

We rigorously derive a mean-field model for Ostwald ripening in two-dimensional systems that arise in the growth of thin metallic films. This extends the classical LSW theory in two ways. First, it shows that an LSW-type model is also valid in two dimensions, even though the formal derivation seems less convincing than in three dimensions. Second, it clarifies the regime of validity and provide...

Coarsening in Multicomponent Multiphase Systems

Precipitate coarsening in multicomponent systems

Expressions to obtain composition shifts due to capillarity are presented when the chemical potential shifts of the precipitate phase are taken into account. These are applied to calculate the precipitate coarsening kinetics in multicomponent systems, showing dependence on the solution thermodynamics followed by the continuous phase. 2002 Published by Elsevier Science Ltd. on behalf of Acta Mat...