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Kinetic relations for a lattice model of phase transitions


Reference:

Schwetlick, H. and Zimmer, J., 2012. Kinetic relations for a lattice model of phase transitions. Archive for Rational Mechanics and Analysis, 206 (2), pp. 707-724.

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    Official URL:

    http://dx.doi.org/10.1007/s00205-012-0566-8

    Abstract

    The aim of this article is to analyse travelling waves for a lattice model of phase transitions, specifically the Fermi-Pasta-Ulam chain with piecewise quadratic interaction potential. First, for fixed, sufficiently large subsonic wave speeds, we rigorously prove the existence of a family of travelling wave solutions. Second, it is shown that this family of solutions gives rise to a kinetic relation which depends on the jump in the oscillatory energy in the solution tails. Third, our constructive approach provides a very good approximate travelling wave solution.

    Details

    Item Type Articles
    CreatorsSchwetlick, H.and Zimmer, J.
    DOI10.1007/s00205-012-0566-8
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher Statementschwetlickzimmerkin.pdf: The original publication is available at www.springerlink.com
    RefereedYes
    StatusPublished
    ID Code31600

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