Universal Dynamics of Phase-Field Models for Dendritic Growth

Preprint

16 October 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9810189

Abstract

We compare time-dependent solutions of different phase-field models for dendritic solidification in two dimensions, including a thermodynamically consistent model and several ad hoc models. The results are identical when the phase-field equations are operating in their appropriate sharp interface limit. The long time steady state results are all in agreement with solvability theory. No computational advantage accrues from using a thermodynamically consistent phase-field model.

Keywords

THERMODYNAMICALLY CONSISTENT
MODELS FOR DENDRITIC
UNIVERSAL DYNAMICS
PHASE FIELD MODEL
DIFFERENT PHASE
FIELD MODELS
INTERFACE

All Related Versions

Version 1, 1998-10-16, ArXiv
Published version: Physical Review E, 59 (3), R2546.

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