Bifurcations and symmetry changes in crystals

  • T. Janssen
  • J. A. Tjon
Session IV — Crystal Groups and Their Representations
Part of the Lecture Notes in Physics book series (LNP, volume 180)


Bifurcation theory and the theory of discrete area-preserving mappings are both related to models for structural phase transitions in crystals. Here it is shown how to apply these theories to a lattice problem. On the other hand the latter throws a new light on the former theories. Special attention is paid to the role of symmetry of the system.


Unit Circle Trivial Solution Structural Phase Transition Soft Mode Symplectic Mapping 
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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • T. Janssen
    • 1
  • J. A. Tjon
    • 2
  1. 1.Institute for Theoretical PhysicsUniversity of NijmegenHolland
  2. 2.Institute for Theoretical PhysicsUniversity of UtrechtHolland

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