Parametric links among Monte Carlo, phase-field, and sharp-interface models of interfacial motion
- 16 December 2002
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 66 (6), 061603
- https://doi.org/10.1103/physreve.66.061603
Abstract
Parametric links are made among three mesoscale simulation paradigms: phase-field, sharp-interface, and Monte Carlo. A two-dimensional, square lattice, 1/2 Ising model is considered for the Monte Carlo method, where an exact solution for the interfacial free energy is known. The Monte Carlo mobility is calibrated as a function of temperature using Glauber kinetics. A standard asymptotic analysis relates the phase-field and sharp-interface parameters, and this allows the phase-field and Monte Carlo parameters to be linked. The result is derived without bulk effects but is then applied to a set of simulations with the bulk driving force included. An error analysis identifies the domain over which the parametric relationships are accurate.Keywords
This publication has 28 references indexed in Scilit:
- A phase–field paradigm for grain growth and recrystallizationProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1999
- Numerical Simulation of Zener Pinning with Growing Second‐Phase ParticlesJournal of the American Ceramic Society, 1998
- Computer simulation of topological evolution in 2-D grain growth using a continuum diffuse-interface field modelActa Materialia, 1997
- Computer simulation of grain growth using a continuum field modelActa Materialia, 1997
- Kinetics of the-State Potts Model in Two DimensionsPhysical Review Letters, 1983
- A microscopic theory for antiphase boundary motion and its application to antiphase domain coarseningActa Metallurgica, 1979
- Free Energy of a Nonuniform System. I. Interfacial Free EnergyThe Journal of Chemical Physics, 1958
- The effect of thermal agitation on atomic arrangement in alloys-IIIProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1935
- The effect of thermal agitaion on atomic arrangement in alloys—IIProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1935
- The effect of thermal agitation on atomic arrangement in alloysProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1934