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SEMINAR: Integrable-like behavior in the Fermi-Pasta-Ulam model

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Today's date is Saturday, October 31, 2020
Integrable-like behavior in the Fermi-Pasta-Ulam model Other events...
In 1950ís Fermi, motivated by fundamental questions of statistical mechanics, started a numerical experiment in collaboration with Pasta and Ulam to test the ergodic properties of nonlinear dynamical systems. The chosen so-called FPU system was a one dimensional chain of N nonlinear coupled oscillators, described by a quadratic potential of nearby particle interactions plus a cubic perturbation. Fermiís ergodic hypothesis states that a system under an arbitrarily small perturbing force becomes generically ergodic. Starting with the longest wavelength normal mode, the FPU system showed a non-ergodic behavior. Many pioneer works followed for the explanation of this paradox. The most prominent of them have been the work of Zabusky and Kruskal (1965), with evidence of connection between the FPU system in the thermodynamic limit and the pde Korteweg-de Vries, and the work of Flaschka et al. (1982), where the authors discovered a similar behavior of the FPU model in the Toda chain. Recent developments show a more complete picture of the problem and its explanation.
Speaker(s) Dr Heleni Christodoulidi (Patras University, Greece)
Location Science Library Access Grid Room
Contact Paul Abbott <[email protected]> : 0413818348
URL https://www.amsi.org.au/index.php/events-mainmenu/agr-events/1202-integrable-like-behavior-in-the-fermi-pasta-ulam-model
Start Mon, 18 Nov 2013 13:00
End Mon, 18 Nov 2013 15:00
Submitted by Paul Abbott <[email protected]>
Last Updated Thu, 21 Nov 2013 09:39
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