Phase-transition mechanisms for the phase-field model under internal heating
- 1 January 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 43 (2) , 843-851
- https://doi.org/10.1103/physreva.43.843
Abstract
A study is made of models for the phase-transition dynamics of systems in one space dimension with latent heat whose only field variables are an order parameter and temperature. The processes by which a material in the ordered state undergoes phase transition due to internal heating is explored by numerical simulation and analyses based thereon. Besides externally induced nucleation and transitions through a fine-grained phase-mixture state analogous to spinodal decomposition, there is a type of self-induced nucleation mechanism occurring in some parameter ranges.Keywords
This publication has 7 references indexed in Scilit:
- Thermodynamically consistent models of phase-field type for the kinetic of phase transitionsPhysica D: Nonlinear Phenomena, 1990
- The phase-field description of mushy zonesPhysica D: Nonlinear Phenomena, 1989
- Dynamics of Layered Interfaces Arising from Phase BoundariesSIAM Journal on Applied Mathematics, 1988
- An analysis of a phase field model of a free boundaryArchive for Rational Mechanics and Analysis, 1986
- Renormalization-group methods for critical dynamics: I. Recursion relations and effects of energy conservationPhysical Review B, 1974
- On spinodal decompositionActa Metallurgica, 1961
- Free Energy of a Nonuniform System. I. Interfacial Free EnergyThe Journal of Chemical Physics, 1958