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Periodicity-Doubling Cascades: Direct Observation in Ferroelastic Materials

Arnoud S. Everhardt, Silvia Damerio, Jacob A. Zorn, Silang Zhou, Neus Domingo, Gustau Catalan, Ekhard K. H. Salje, Long-Qing Chen, and Beatriz Noheda
Phys. Rev. Lett. 123, 087603 – Published 22 August 2019
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Abstract

Very sensitive responses to external forces are found near phase transitions. However, transition dynamics and preequilibrium phenomena are difficult to detect and control. We have observed that the equilibrium domain structure following a phase transition in ferroelectric and ferroelastic BaTiO3 is attained by halving of the domain periodicity multiple times. The process is reversible, with periodicity doubling as temperature is increased. This observation is reminiscent of the period-doubling cascades generally observed during bifurcation phenomena, and, thus, it conforms to the “spatial chaos” regime earlier proposed by Jensen and Bak [Phys. Scr. T 9, 64 (1985)] for systems with competing spatial modulations.

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  • Received 29 January 2019
  • Revised 6 May 2019

DOI:https://doi.org/10.1103/PhysRevLett.123.087603

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsNonlinear Dynamics

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A Ferroelastic Film at the Edge of Chaos

Published 22 August 2019

Period doubling—a behavior seen in systems that are nearing a chaotic regime—shows up in the microstructure of a strain-textured material.

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Authors & Affiliations

Arnoud S. Everhardt1,*, Silvia Damerio1,†, Jacob A. Zorn2, Silang Zhou1, Neus Domingo3, Gustau Catalan3,4, Ekhard K. H. Salje5, Long-Qing Chen2, and Beatriz Noheda1,6,‡

  • 1Zernike Institute for Advanced Materials, University of Groningen, 9747AG- Groningen, Netherlands
  • 2Department of Materials Science and Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
  • 3Catalan Institute of Nanoscience and Nanotechnology (ICN2), 08193 Barcelona, Catalonia, Spain
  • 4ICREA, 08193 Barcelona, Catalonia, Spain
  • 5University of Cambridge, Cambridge, Oxford OX1 3AN, United Kingdom
  • 6CogniGron Center, University of Groningen, 9747AG- Groningen, Netherlands

  • *Present address: Materials Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA.
  • s.damerio@rug.nl
  • b.noheda@rug.nl

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Issue

Vol. 123, Iss. 8 — 23 August 2019

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