Phase diagram, depinning and sliding friction in the Phase Field Crystal model

POSTER

Abstract

We present results for commensurate-incommensurate transitions and non-linear sliding friction for a two-dimensional crystal lattice in the presence of an external pinning potential in the Phase Field Crystal model. This model provides a continuum description of lattice system, such as adsorbed monolayers or two-dimensional vortex lattice. The competition between the length scales associated with the intrinsic ordering and the pinning potential leads to commensurate-incommensurate transitions. The dynamical response of the system in the presence of a driving force has also been studied via the time dependent Ginzburg-Landau equation. We present results on non-linear dynamics and sliding mechanisms for commensurate phases.

Authors

  • Tapio Ala-Nissila

    • Helsinki University of Technology
    • Helsinki University of Technology, Laboratory of Physics, Espoo, Finland

  • Cristian Vasile Achim

    • Helsinki University of Technology, Laboratory of Physics, Espoo, Finland

  • Ken R. Elder

    • Oakland University, Department of Physics, Rochester, United States

  • Mikko Karttunen

    • The University of Western Ontario, Departament Of Applied Mathematics, London, Canada

  • Enzo Granato

    • Instituto Nacional de Pesquisas Espaciais, Laborat\'orio Associado de Sensores e Materiais, S\~ao Jos\'e dos Campos, Brazil

  • See Chen Ying

    • Brown University, Departament of Physics, Providence, United States