Published June 11, 2020 | Version v1
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Data supplement for "Localized states in the conserved Swift-Hohenberg equation with cubic nonlinearity [Phys. Rev. E 87, 042915 (2013)]"

  • 1. Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster, Wilhelm-Klemm-Str. 9, 48149 Münster, Germany
  • 2. Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire, LE11 3TU, UK
  • 3. University of A Coruna, Campus de Elvina, 15192 A Coruna, Spain
  • 4. Department of Physics, University of California, Berkeley, California 94720, USA

Description

Data sets and user-defined files for continuation tool auto07p for most figures of the paper "Localized states in the conserved Swift-Hohenberg equation with cubic nonlinearity" [Phys. Rev. E 87, 042915 (2013)] with abstract "The conserved Swift-Hohenberg equation with cubic nonlinearity provides the simplest microscopic description of the thermodynamic transition from a fluid state  to a crystalline state. The resulting phase field crystal model describes a variety of spatially localized structures, in addition to different spatially extended periodic structures. The location of these structures in the temperature versus mean order parameter plane is determined using a combination of numerical continuation in one dimension and direct numerical simulation in two and three dimensions. Localized states are found in the region of thermodynamic coexistence between the homogeneous and structured phases, and may lie outside of the binodal for these states. The results are related to the phenomenon of slanted snaking but take the form of standard homoclinic snaking when the mean order parameter is plotted as a function of the chemical potential, and are expected to carry over to related models with a conserved order parameter."

 

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md5:bc3c89e388fd304e411bdf74c2b08daa
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md5:3fb3f09bf5dce9fc623231d27e9cd147
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Additional details

Related works

Is source of
Journal article: 10.1103/PhysRevE.87.042915 (DOI)
Preprint: arXiv:1301.4472 (arXiv)