A two-dimensional free energy model for single crystalline ferroelectrics

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

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


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 languageEnglish
Title of host publicationCoupled Nonlinear Phenomena
Subtitle of host publicationModeling and Simulation for Smart, Ferroic, and Multiferroic Materials
PublisherMaterials Research Society
Number of pages6
ISBN (Print)1558998357, 9781558998353
StatePublished - 2005
Event2005 MRS Spring Meeting - San Francisco, CA, United States
Duration: 28 Mar 20051 Apr 2005

Publication series

NameMaterials Research Society Symposium Proceedings
ISSN (Print)0272-9172


Conference2005 MRS Spring Meeting
Country/TerritoryUnited States
CitySan Francisco, CA


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