A two-dimensional free energy model for single crystalline ferroelectrics

Sang Joo Kim; Stefan Seelecke; Brian L. Ball; Ralph C. Smith; Chang Hoan Lee

doi:10.1557/proc-881-cc1.7

A two-dimensional free energy model for single crystalline ferroelectrics

Sang Joo Kim, Stefan Seelecke, Brian L. Ball, Ralph C. Smith, Chang Hoan Lee

Department of Mechanical and Information Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The one-dimensional free energy model for ferroelectric materials developed in [1-3] is generalized to two dimensions. The proposed two-dimensional energy potential consists of four energy wells corresponding to four variants of the material, four saddle points representing the barriers for 90° switching processes, and a local energy maximum across which 180°-switching processes take place. The free energy potential is combined with the evolution equations based on the theory of thermally activated processes. The prediction of the model is compared with the recent measurements on a BaTiO₃ single crystalline ferroelectric in [4]. The responses of the model at various loading frequencies are calculated and the kinetics of 90° and 180° switching processes are discussed.

Original language	English
Title of host publication	Coupled Nonlinear Phenomena
Subtitle of host publication	Modeling and Simulation for Smart, Ferroic, and Multiferroic Materials
Publisher	Materials Research Society
Pages	19-24
Number of pages	6
ISBN (Print)	1558998357, 9781558998353
DOIs	https://doi.org/10.1557/proc-881-cc1.7
State	Published - 2005
Event	2005 MRS Spring Meeting - San Francisco, CA, United States Duration: 28 Mar 2005 → 1 Apr 2005

Publication series

Name	Materials Research Society Symposium Proceedings
Volume	881
ISSN (Print)	0272-9172

Conference

Conference	2005 MRS Spring Meeting
Country/Territory	United States
City	San Francisco, CA
Period	28/03/05 → 1/04/05

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10.1557/proc-881-cc1.7

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Kim, S. J., Seelecke, S., Ball, B. L., Smith, R. C., & Lee, C. H. (2005). A two-dimensional free energy model for single crystalline ferroelectrics. In Coupled Nonlinear Phenomena: Modeling and Simulation for Smart, Ferroic, and Multiferroic Materials (pp. 19-24). (Materials Research Society Symposium Proceedings; Vol. 881). Materials Research Society. https://doi.org/10.1557/proc-881-cc1.7

@inproceedings{0d63db26ecf4435d9ef0b97f4fe433a5,

title = "A two-dimensional free energy model for single crystalline ferroelectrics",

abstract = "The one-dimensional free energy model for ferroelectric materials developed in [1-3] is generalized to two dimensions. The proposed two-dimensional energy potential consists of four energy wells corresponding to four variants of the material, four saddle points representing the barriers for 90° switching processes, and a local energy maximum across which 180°-switching processes take place. The free energy potential is combined with the evolution equations based on the theory of thermally activated processes. The prediction of the model is compared with the recent measurements on a BaTiO3 single crystalline ferroelectric in [4]. The responses of the model at various loading frequencies are calculated and the kinetics of 90° and 180° switching processes are discussed.",

author = "Kim, {Sang Joo} and Stefan Seelecke and Ball, {Brian L.} and Smith, {Ralph C.} and Lee, {Chang Hoan}",

year = "2005",

doi = "10.1557/proc-881-cc1.7",

language = "English",

isbn = "1558998357",

series = "Materials Research Society Symposium Proceedings",

publisher = "Materials Research Society",

pages = "19--24",

booktitle = "Coupled Nonlinear Phenomena",

note = "2005 MRS Spring Meeting ; Conference date: 28-03-2005 Through 01-04-2005",

}

Kim, SJ, Seelecke, S, Ball, BL, Smith, RC & Lee, CH 2005, A two-dimensional free energy model for single crystalline ferroelectrics. in Coupled Nonlinear Phenomena: Modeling and Simulation for Smart, Ferroic, and Multiferroic Materials. Materials Research Society Symposium Proceedings, vol. 881, Materials Research Society, pp. 19-24, 2005 MRS Spring Meeting, San Francisco, CA, United States, 28/03/05. https://doi.org/10.1557/proc-881-cc1.7

A two-dimensional free energy model for single crystalline ferroelectrics. / Kim, Sang Joo; Seelecke, Stefan; Ball, Brian L. et al.
Coupled Nonlinear Phenomena: Modeling and Simulation for Smart, Ferroic, and Multiferroic Materials. Materials Research Society, 2005. p. 19-24 (Materials Research Society Symposium Proceedings; Vol. 881).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - A two-dimensional free energy model for single crystalline ferroelectrics

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AU - Seelecke, Stefan

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N2 - The one-dimensional free energy model for ferroelectric materials developed in [1-3] is generalized to two dimensions. The proposed two-dimensional energy potential consists of four energy wells corresponding to four variants of the material, four saddle points representing the barriers for 90° switching processes, and a local energy maximum across which 180°-switching processes take place. The free energy potential is combined with the evolution equations based on the theory of thermally activated processes. The prediction of the model is compared with the recent measurements on a BaTiO3 single crystalline ferroelectric in [4]. The responses of the model at various loading frequencies are calculated and the kinetics of 90° and 180° switching processes are discussed.

AB - The one-dimensional free energy model for ferroelectric materials developed in [1-3] is generalized to two dimensions. The proposed two-dimensional energy potential consists of four energy wells corresponding to four variants of the material, four saddle points representing the barriers for 90° switching processes, and a local energy maximum across which 180°-switching processes take place. The free energy potential is combined with the evolution equations based on the theory of thermally activated processes. The prediction of the model is compared with the recent measurements on a BaTiO3 single crystalline ferroelectric in [4]. The responses of the model at various loading frequencies are calculated and the kinetics of 90° and 180° switching processes are discussed.

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SN - 9781558998353

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PB - Materials Research Society

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ER -

A two-dimensional free energy model for single crystalline ferroelectrics

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