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The Idea of a Numerical Experiment

The Idea of a Numerical Experiment. Stanisław Ulam. Enrico Fermi. Mary Tsingou (M. T. Menzel ). John R. Pasta. Dauxois 2008. The Fermi-Pasta-Ulam-Tsingou Experiment. Los Alamos report, May 1955

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The Idea of a Numerical Experiment

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  1. The Idea of a Numerical Experiment Stanisław Ulam Enrico Fermi Mary Tsingou (M. T. Menzel ) John R. Pasta Dauxois 2008

  2. The Fermi-Pasta-Ulam-Tsingou Experiment Los Alamos report, May 1955 The (physics) question: How fast does energy “thermalize” in a vibrating lattice with a small nonlinearity in the coupling? Dauxois & Ruffo 2008

  3. Net force on particle j = So wave equation!

  4. Adding a nonlinearity: recurrence

  5. Zabusky and Kruskal 1965

  6. "Report on Waves": (Report of the fourteenth meeting of the British Association for the Advancement of Science, York, September 1844 (London 1845), pp 311-390.

  7. ``I was observing the motion of a boat which was rapidly drawn along a narrow channel by a pair of horses, when the boat suddenly stopped - not so the mass of water in the channel which it had put in motion; it accumulated round the prow of the vessel in a state of violent agitation, then suddenly leaving it behind, rolled forward with great velocity, assuming the form of a large solitary elevation, a rounded, smooth and well-defined heap of water, which continued its course along the channel apparently without change of form or diminution of speed. I followed it on horseback, and overtook it still rolling on at a rate of some eight or nine miles an hour, preserving its original figure some thirty feet long and a foot to a foot and a half in height. Its height gradually diminished, and after a chase of one or two miles I lost it in the windings of the channel. Such, in the month of August 1834, was my first chance interview with that singular and beautiful phenomenon which I have called the Wave of Translation''.-- John Scott Russell

  8. Russell Herman's page

  9. Robert I Odom, University of Washington

  10. Terry Toedtemeier, Portland Art Museum

  11. Robertson Hall, Princeton, October 2, 2007

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