Incollection,
Runaway nucleation in phase transformation theory
Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Abstract
The conditions are investigated when the nucleation stage becomes dominant in the phase transformation process. Specifically, the nucleation process is analysed in the two-dimensional nonequlibrium system, which presents the exactly solvable model. We demonstrate the equivalency of the nucleation flux calculated from the direct solution of the kinetical equation and that obtained from the nucleation pseudopotential. Moreover, we show the equivalency of the Hamilton-Gibbs viewpoint in the nucleation theory to that suggested by Zeldovich et. al. (which explores the direct solution of the set of the kinetic equations) in describing the phase transformation kinetics. This discovery opens a constructive way of using the nucleation pseudopotential in order to quantify the nucleation flux intensity in a specific system. For example, in case of the superconductive material we explain the physical meaning of the critical current in superconductuctors.
