Metastability and dispersive shock waves in Fermi-Pasta-Ulam system
Lorenzoni, Paolo ; Paleari, Simone
arXiv, 0511026 / Harvested from arXiv
Text on arXiv
We show the relevance of the dispersive analogue of the shock waves in the FPU dynamics. In particular we give strict numerical evidences that metastable states emerging from low frequency initial excitations, are indeed constituted by dispersive shock waves travelling through the chain. Relevant characteristics of the metastable states, such as their frequency extension and their time scale of formation, are correctly obtained within this framework, using the underlying continuum model, the KdV equation.
Publié le : 2005-11-14
Classification:  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Mathematical Physics,  Nonlinear Sciences - Pattern Formation and Solitons 
@article{0511026,
     author = {Lorenzoni, Paolo and Paleari, Simone},
     title = {Metastability and dispersive shock waves in Fermi-Pasta-Ulam system},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0511026}
}

Lorenzoni, Paolo; Paleari, Simone. Metastability and dispersive shock waves in Fermi-Pasta-Ulam system. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0511026/