2009, English, Article edition: Stationary Solutions to Phase Field Crystal Equations Pierre, Morgan; Rougirel, Arnaud

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Physical Description
  • text
Published
  • HAL - CCSD
  • 2009
Language
  • English

Edition details

Title
  • Stationary Solutions to Phase Field Crystal Equations
Author
  • Pierre, Morgan
  • Rougirel, Arnaud
Published
  • HAL - CCSD
  • 2009
Physical Description
  • text
Subjects
Notes
  • This paper is devoted to the analytical and numerical study of the stationary solutions of the one dimensional Phase Field Crystal Equation. This new model recently introduced by K. Elder and M. Grant describes phase transformations at atomistic level on large time scales. By using bifurcation methods, we investigate quantitative and qualitative properties of these solutions: multiplicity, stability, periodicity. Quite unusual bifurcation diagrams are obtained by numerical simulations.
  • HAL:hal-00407353, version 1
  • HAL:http:/​/​hal.archives-ouvertes.fr/​hal-00407353/​en/​
Language
  • English
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