Lectures: Difference between revisions
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== Lecture 4: Vibrational eigenmodes: From glasses to Fermi-Pasta-Ulam Problem == | == Lecture 4: Vibrational eigenmodes: From glasses to Fermi-Pasta-Ulam Problem == | ||
*PDF | *PDF | ||
===Vibrational eigenmodes=== | |||
* P. B. Allen and J. Kelner, ''Evolution of a vibrational wave packet on a disordered chain'', Am. J. Phys. '''66''', 497 (1998). [http://math.mit.edu/~kelner/Publications/Docs/KAAJP.pdf PDF]. | |||
* J. Fabian, ''Decay of localized vibrational states in glasses: A one-dimensional example'', Phys. Rev. B '''55''', R3328 (1997). [http://link.aps.org/doi/10.1103/PhysRevB.55.R3328 PDF] | |||
===50th Anniversary of the Fermi-Pasta-Ulam Problem=== | |||
*G. P. Berman and F. M. Izrailev, The Fermi-Pasta-Ulam problem: 50 years of progress, nlin.CD/0411062. | |||
*P. Dauxois, M. Peyrard, and S. Ruffo, The Fermi-Pasta-Ulam "numerical experiment": history and pedagogical perspectives, nlin.PS/0501053. | |||
*Focus issue of "Chaos": THE "FERMI-PASTA-ULAM" PROBLEM-THE FIRST 50 YEARS | |||
*S. Flach, M. V. Ivanchenko, O. I. Kanakov, and K. G. Mishagin, ''Periodic orbits, localization in normal mode space, and the Fermi-Pasta-Ulam problem'', Am. J. Phys. '''76''', 453 (2008). [http://dx.doi.org/10.1119/1.2820396 PDF]. | |||
*Fermi-Pasta-Ulam nonlinear lattice oscillations, T. Dauxois and S. Ruffo (2008), Scholarpedia, 3(8):5538. | |||
== Lecture 5: Introduction to Fourier analysis == | == Lecture 5: Introduction to Fourier analysis == | ||
Revision as of 21:41, 5 February 2012
Lecture 1: Computation as a tool for discovery in physics
Lecture 2: Numerical methods for ordinary differential equations
- C. Moler, Numerical Computing with Matlab (SIAM, Philadelphia, 2004).
- W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery: Numerical Recipes: The Art of Scientific Computing (CUP, Cambridge, 2007).
Lecture 3: Introduction to deterministic chaos
- T. Tél and M. Gruiz, Chaotic Dynamics (CUP, Cambridge, 2006).
Lecture 4: Vibrational eigenmodes: From glasses to Fermi-Pasta-Ulam Problem
Vibrational eigenmodes
- P. B. Allen and J. Kelner, Evolution of a vibrational wave packet on a disordered chain, Am. J. Phys. 66, 497 (1998). PDF.
- J. Fabian, Decay of localized vibrational states in glasses: A one-dimensional example, Phys. Rev. B 55, R3328 (1997). PDF
50th Anniversary of the Fermi-Pasta-Ulam Problem
- G. P. Berman and F. M. Izrailev, The Fermi-Pasta-Ulam problem: 50 years of progress, nlin.CD/0411062.
- P. Dauxois, M. Peyrard, and S. Ruffo, The Fermi-Pasta-Ulam "numerical experiment": history and pedagogical perspectives, nlin.PS/0501053.
- Focus issue of "Chaos": THE "FERMI-PASTA-ULAM" PROBLEM-THE FIRST 50 YEARS
- S. Flach, M. V. Ivanchenko, O. I. Kanakov, and K. G. Mishagin, Periodic orbits, localization in normal mode space, and the Fermi-Pasta-Ulam problem, Am. J. Phys. 76, 453 (2008). PDF.
- Fermi-Pasta-Ulam nonlinear lattice oscillations, T. Dauxois and S. Ruffo (2008), Scholarpedia, 3(8):5538.
