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Domain WallsFrom Fundamental Properties to Nanotechnology Concepts$
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Dennis Meier, Jan Seidel, Marty Gregg, and Ramamoorthy Ramesh

Print publication date: 2020

Print ISBN-13: 9780198862499

Published to Oxford Scholarship Online: October 2020

DOI: 10.1093/oso/9780198862499.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 27 September 2021

Turing Patterns in Ferroelectric Domains: Nonlinear Instabilities

Turing Patterns in Ferroelectric Domains: Nonlinear Instabilities

(p.185) Chapter 8 Turing Patterns in Ferroelectric Domains: Nonlinear Instabilities
Domain Walls

J. F. Scott

Oxford University Press

This chapter outlines how ferroelectric domain patterns link to various, cross-disciplinary, fundamental instabilities. It starts by highlighting the startling resemblance between Turing patterns and the ‘labyrinthine’ polar nanoregHions associated with ferroelectric relaxors. The chapter goes on to look at patterns arising out of the Landau-Ginzburg approach and links these to experimentally observed domain patterns. The link between Turing patterns and those from Landau-Ginzburg is particularly noteworthy as the terms, and considerations, of the two approaches differ: yet both can describe ferroic domain configurations in lead based ferroelectrics in different boundary conditions. This chapter considers other fundamental situations, such as Zhabotinskii-Belousov patterns and Richtmyer-Meshkov instabilities, before looking at the evolution of these patterns with increasing. It concludes by looking at the dimensionality of PbTiO3. Because many of these processes require diffusion, they should be absent (or qualitatively different) near Quantum Critical points.

Keywords:   Turing patterns, ferroelectric domain patterns, nonlinear instabilities, ferroelectric relaxors, Landau-Ginzburg approach, Zhabotinskii-Belousov patterns, Richtmyer-Meshkov instabilities, Quantum Critical points

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