DOI: 10.1063/1.3043576. Phase field simulations of ferroelectric nanoparticles with different long-range-electrostatic and -elastic interactions

Phase field simulations of ferroelectric nanoparticles with different long-range-electrostatic and -elastic interactions

10.1063/1.3043576

Crossref journal-article

AIP Publishing

Journal of Applied Physics (317)

Abstract

Two-dimensional phase field simulations of ferroelectric nanoparticles with different long-range (LR)-electrostatic and -elastic interactions and different domain wall energy densities are conducted based on the time-dependent Ginzburg–Landau equation. The phase field simulations exhibit vortex patterns of polarizations, which have purely toroidal moments of polarizations and macroscopically negligible averaged polarizations, in nanoparticles without or with weak LR-elastic interactions when LR-electrostatic interactions are fully taken into account. However, a single-domain structure without any toroidal moment of polarizations is formed in small nanoparticles if LR-electrostatic interactions are completely ignored or LR-elastic interactions are fully taken into account. The polarization gradient energy or domain wall energy density plays also an important role in the formation of polarization structure. The vortex structure transits from a multivortex structure to a single-vortex structure as the domain wall energy density increases.

Bibliography

Wang, J., Kamlah, M., & Zhang, T.-Y. (2009). Phase field simulations of ferroelectric nanoparticles with different long-range-electrostatic and -elastic interactions. Journal of Applied Physics, 105(1).

Authors 3

Jie Wang (first)
Marc Kamlah (additional)
Tong-Yi Zhang (additional)

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Dates

Type	When
Created	16 years, 7 months ago (Jan. 12, 2009, 6:32 p.m.)
Deposited	2 years, 2 months ago (June 24, 2023, 7:19 a.m.)
Indexed	1 month, 1 week ago (July 30, 2025, 6:52 a.m.)
Issued	16 years, 8 months ago (Jan. 1, 2009)
Published	16 years, 8 months ago (Jan. 1, 2009)
Published Online	16 years, 7 months ago (Jan. 12, 2009)
Published Print	16 years, 8 months ago (Jan. 1, 2009)

Funders 0

None

BibTeX

@article{Wang_2009, title={Phase field simulations of ferroelectric nanoparticles with different long-range-electrostatic and -elastic interactions}, volume={105}, ISSN={1089-7550}, url={http://dx.doi.org/10.1063/1.3043576}, DOI={10.1063/1.3043576}, number={1}, journal={Journal of Applied Physics}, publisher={AIP Publishing}, author={Wang, Jie and Kamlah, Marc and Zhang, Tong-Yi}, year={2009}, month=jan }

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