Volume 16, Issue 3
Finding Critical Nuclei in Phase Transformations by Shrinking Dimer Dynamics and Its Variants

Lei Zhang, Jingyan Zhang & Qiang Du

Commun. Comput. Phys., 16 (2014), pp. 781-798.

Published online: 2014-12

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  • Abstract

We investigate the critical nuclei morphology in phase transformation by combining two effective ingredients, with the first being the phase field modeling of the relevant energetics which has been a popular approach for phase transitions and the second being shrinking dimer dynamics and its variants for computing saddle points and transition states. In particular, the newly formulated generalized shrinking dimer dynamics is proposed by adopting the Cahn-Hilliard dynamics for the generalized gradient system. As illustrations, a couple of typical cases are considered, including a generic system modeling heterogeneous nucleation and a specific material system modeling the precipitate nucleation in FeCr alloys. While the standard shrinking dimer dynamics can be applied to study the non-conserved case of generic heterogeneous nucleation directly, the generalized shrinking dimer dynamics is efficient to compute precipitate nucleation in FeCr alloys due to the conservation of concentration. Numerical simulations are provided to demonstrate both the complex morphology associated with nucleation events and the effectiveness of generalized shrinking dimer dynamics based on phase field models.

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@Article{CiCP-16-781, author = {}, title = {Finding Critical Nuclei in Phase Transformations by Shrinking Dimer Dynamics and Its Variants}, journal = {Communications in Computational Physics}, year = {2014}, volume = {16}, number = {3}, pages = {781--798}, abstract = {

We investigate the critical nuclei morphology in phase transformation by combining two effective ingredients, with the first being the phase field modeling of the relevant energetics which has been a popular approach for phase transitions and the second being shrinking dimer dynamics and its variants for computing saddle points and transition states. In particular, the newly formulated generalized shrinking dimer dynamics is proposed by adopting the Cahn-Hilliard dynamics for the generalized gradient system. As illustrations, a couple of typical cases are considered, including a generic system modeling heterogeneous nucleation and a specific material system modeling the precipitate nucleation in FeCr alloys. While the standard shrinking dimer dynamics can be applied to study the non-conserved case of generic heterogeneous nucleation directly, the generalized shrinking dimer dynamics is efficient to compute precipitate nucleation in FeCr alloys due to the conservation of concentration. Numerical simulations are provided to demonstrate both the complex morphology associated with nucleation events and the effectiveness of generalized shrinking dimer dynamics based on phase field models.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.250913.240314a}, url = {http://global-sci.org/intro/article_detail/cicp/7062.html} }
TY - JOUR T1 - Finding Critical Nuclei in Phase Transformations by Shrinking Dimer Dynamics and Its Variants JO - Communications in Computational Physics VL - 3 SP - 781 EP - 798 PY - 2014 DA - 2014/12 SN - 16 DO - http://doi.org/10.4208/cicp.250913.240314a UR - https://global-sci.org/intro/article_detail/cicp/7062.html KW - AB -

We investigate the critical nuclei morphology in phase transformation by combining two effective ingredients, with the first being the phase field modeling of the relevant energetics which has been a popular approach for phase transitions and the second being shrinking dimer dynamics and its variants for computing saddle points and transition states. In particular, the newly formulated generalized shrinking dimer dynamics is proposed by adopting the Cahn-Hilliard dynamics for the generalized gradient system. As illustrations, a couple of typical cases are considered, including a generic system modeling heterogeneous nucleation and a specific material system modeling the precipitate nucleation in FeCr alloys. While the standard shrinking dimer dynamics can be applied to study the non-conserved case of generic heterogeneous nucleation directly, the generalized shrinking dimer dynamics is efficient to compute precipitate nucleation in FeCr alloys due to the conservation of concentration. Numerical simulations are provided to demonstrate both the complex morphology associated with nucleation events and the effectiveness of generalized shrinking dimer dynamics based on phase field models.

Lei Zhang, Jingyan Zhang & Qiang Du. (2020). Finding Critical Nuclei in Phase Transformations by Shrinking Dimer Dynamics and Its Variants. Communications in Computational Physics. 16 (3). 781-798. doi:10.4208/cicp.250913.240314a
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