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Modeling Elasticity in Crystal Growth
Open accessAbstract
A new model of crystal growth is presented that describes the phenomena on atomic length and diffusive time scales. The former incorporates elastic and plastic deformation in a natural manner, and the latter enables access to time scales much larger than conventional atomic methods. The model is shown to be consistent with the predictions of Read and Shockley for grain boundary energy, and Matthews and Blakeslee for misfit dislocations in epitaxial growth.
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Citations
Cited by
Cantwell, P. R., Tang, M., Dillon, S. J., Luo, J., Rohrer, G. S., & Harmer, M. P. (2014) · Acta Materialia · doi:10.1016/j.actamat.2013.07.037 · Cited by 916
Modeling elastic and plastic deformations in nonequilibrium processing using phase field crystals
Elder, K. R., & Grant, M. (2004) · Physical Review E · doi:10.1103/physreve.70.051605 · Cited by 842
Self-citationEmmerich, H., Löwen, H., Wittkowski, R., Gruhn, T., Tóth, G. I., Tegze, G., & Gránásy, L. (2012) · Advances in Physics · doi:10.1080/00018732.2012.737555 · Cited by 364
Tuned, driven, and active soft matter
Menzel, A. M. (2015) · Physics Reports · doi:10.1016/j.physrep.2014.10.001 · Cited by 295
How crystals form: A theory of nucleation pathways
Lutsko, J. F. (2019) · Science Advances · doi:10.1126/sciadv.aav7399 · Cited by 212
Metadata
- Authors
- Elder, K. R., Katakowski, M., Haataja, M., & Grant, M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2002-06-04
- Volume
- 88
- Issue
- 24
- Pages
- 245701-245701
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2057808716
- Cited by
- 970
- References
- 0
- FWCI
- 3.74
- Type
- journal article
- Language
- en
- Open access
- green
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- Elder, K. R., Katakowski, M., Haataja, M., & Grant, M. (2002). Modeling Elasticity in Crystal Growth. Physical Review Letters. https://doi.org/10.1103/physrevlett.88.245701
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
