Phase-field crystals with elastic interactions |
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Authors: | Stefanovic Peter Haataja Mikko Provatas Nikolas |
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Institution: | Department of Materials Science and Engineering and Brockhouse Institute for Materials Research, McMaster University, Hamilton, ON, Canada L8S 4L8. |
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Abstract: | We report on a novel extension of the recently introduced phase-field crystal (PFC) method Elder, Phys. Rev. Lett. 88, 245701 (2002)10.1103/PhysRevLett.88.245701], which incorporates elastic interactions as well as crystal plasticity and diffusive dynamics. In our model, elastic interactions are mediated through wave modes that propagate on time scales many orders of magnitude slower than atomic vibrations but still much faster than diffusive time scales. This allows us to preserve the quintessential advantage of the PFC model: the ability to simulate atomic-scale interactions and dynamics on time scales many orders of magnitude longer than characteristic vibrational time scales. We demonstrate the two different modes of propagation in our model and show that simulations of grain growth and elastoplastic deformation are consistent with the microstructural properties of nanocrystals. |
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