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.
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.
|Item Type ||Articles|
|Creators||Schwetlick, H.and Zimmer, J.|
|Departments||Faculty of Science > Mathematical Sciences|
|Publisher Statement||schwetlickzimmerkin.pdf: The original publication is available at www.springerlink.com|
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