A Caltech Library Service

A multi-phase field model for mesoscopic interface dynamics with large bulk driving forces

Grose, Christopher J. and Asimow, Paul D. (2022) A multi-phase field model for mesoscopic interface dynamics with large bulk driving forces. Computational Materials Science, 212 . Art. No. 111570. ISSN 0927-0256. doi:10.1016/j.commatsci.2022.111570.

[img] MS Word (Supplementary data 1) - Supplemental Material
See Usage Policy.


Use this Persistent URL to link to this item:


We develop a multi-phase field model for diffuse interface dynamics with large bulk chemical driving forces for phase transformation using the double-obstacle potential. We show how the classical prefactor functions for the bulk driving force significantly overestimate the velocity of multi-order-parameter junctions. We introduce a novel prefactor that properly distributes the forces for phase transformation among an arbitrary number of coexisting thermodynamic phases and order-parameters (i.e., melt patches and solid grains). The accuracy of the model is examined and we describe techniques to ensure accuracy for use with and without large bulk driving forces, including interface correction procedures that prevent profile deformation, and a recursive predictor–corrector technique for inter-parameter transfer at junctions. We explore the predictions of our models for a number of two-dimensional model configurations, including the shrinking circle, the moving tri-junction, and a shrinking circular crystal embedded in a fine-grained polycrystalline medium. The predictions for a moving tri-junction under increasingly large bulk driving forces (or length scales) are particularly notable, as the steady-state geometry of junctions deviate systematically from Young’s law for a given length scale. We provide an ansatz for the junction geometry in the case where a single-order-parameter phase (e.g., melt) consumes a multi-order-parameter phase (e.g., polycrystalline solid); an accurate solution for the opposite case remains elusive at present.

Item Type:Article
Related URLs:
URLURL TypeDescription Information
Grose, Christopher J.0000-0002-8318-1649
Asimow, Paul D.0000-0001-6025-8925
Additional Information:© 2022 Elsevier. Received 20 April 2022, Revised 31 May 2022, Accepted 2 June 2022, Available online 21 June 2022, Version of Record 21 June 2022. This work was supported in part by the National Science Foundation (grant 1826310). CRediT authorship contribution statement. Christopher J. Grose: Conceptualization, Formal analysis, Investigation, Methodology, Software, Validation, Visualization, Writing – original draft, Writing – review & editing. Paul D. Asimow: Funding acquisition, Resources, Supervision, Writing – review & editing. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Funding AgencyGrant Number
Record Number:CaltechAUTHORS:20220705-346609000
Persistent URL:
Official Citation:Christopher J. Grose, Paul D. Asimow, A multi-phase field model for mesoscopic interface dynamics with large bulk driving forces, Computational Materials Science, Volume 212, 2022, 111570, ISSN 0927-0256,
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:115332
Deposited By: George Porter
Deposited On:07 Jul 2022 23:41
Last Modified:07 Jul 2022 23:41

Repository Staff Only: item control page