Fermi-Pasta-Ulam experiment: Difference between revisions
Jump to navigation
Jump to search
Carl McBride (talk | contribs) m (Enlarged the image.) |
Carl McBride (talk | contribs) m (→References: added 'last' page) |
||
| (4 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
The '''Fermi-Pasta-Ulam experiment''' <ref>[http://lib-www.lanl.gov/cgi-bin/getfile?00353569.pdf Enrico Fermi, John R. Pasta and Stanislaw M. Ulam "Studies of nonlinear problems I", Los Alamos Scientific Laboratory Report '''LA-1940''' (1955)]</ref> consisted of a one dimensional system composed of 64 particles, whose ends were fixed, and the particles were connected by a selection of forces; quadratic, cubic, and "broken"-linear. Their main finding was that there was an apparent lack of [[equipartition]] of energy amongst the available [[Degree of freedom | degrees of freedom]], even after as many as 10,000 cycles on their fast electronic computing machine (MANIAC I). | The '''Fermi-Pasta-Ulam experiment''' <ref>[http://lib-www.lanl.gov/cgi-bin/getfile?00353569.pdf Enrico Fermi, John R. Pasta and Stanislaw M. Ulam "Studies of nonlinear problems I", Los Alamos Scientific Laboratory Report '''LA-1940''' (1955)]</ref> consisted of a one dimensional system composed of 64 particles, whose ends were fixed, and the particles were connected by a selection of forces; quadratic, cubic, and "broken"-linear. Their main finding was that there was an apparent lack of [[equipartition]] of energy amongst the available [[Degree of freedom | degrees of freedom]], even after as many as 10,000 cycles on their fast electronic computing machine (MANIAC I). | ||
<br>[[Image:FPU_experiment.png|1000px]]<br> | <br>[[Image:FPU_experiment.png|1000px]]<br> | ||
==See also== | |||
*[[Ergodic hypothesis]] | |||
==References== | ==References== | ||
<references/> | <references/> | ||
| Line 9: | Line 11: | ||
*[http://dx.doi.org/10.1063/1.1855036 G. P. Berman and F. M. Izrailev "The Fermi–Pasta–Ulam problem: Fifty years of progress", Chaos: An Interdisciplinary Journal of Nonlinear Science '''15''' 015104 (2005)] | *[http://dx.doi.org/10.1063/1.1855036 G. P. Berman and F. M. Izrailev "The Fermi–Pasta–Ulam problem: Fifty years of progress", Chaos: An Interdisciplinary Journal of Nonlinear Science '''15''' 015104 (2005)] | ||
*[http://dx.doi.org/10.1007/978-3-540-72995-2 "The Fermi-Pasta-Ulam Problem: A Status Report" Lecture Notes in Physics '''728/2008''' Springer (2008)] | *[http://dx.doi.org/10.1007/978-3-540-72995-2 "The Fermi-Pasta-Ulam Problem: A Status Report" Lecture Notes in Physics '''728/2008''' Springer (2008)] | ||
*[http://dx.doi.org/10.1511/2009.78.214 Mason A. Porter, Norman J. Zabusky, Bambi Hu, and David K. Campbell "Fermi, Pasta, Ulam and the Birth of Experimental Mathematics", American Scientist '''97''' pp. 214-221 (2009)] | |||
*[http://dx.doi.org/10.4249/scholarpedia.5538 Thierry Dauxois and Stefano Ruffo "Fermi-Pasta-Ulam nonlinear lattice oscillations", Scholarpedia, 3(8):5538 (2008)] | |||
*[http://dx.doi.org/10.4249/scholarpedia.9217 Bob Rink "Fermi Pasta Ulam systems (FPU): mathematical aspects", Scholarpedia, 4(12):9217 (2009)] | |||
*[http://dx.doi.org/10.1063/1.2835154 Thierry Dauxois "Fermi, Pasta, Ulam, and a mysterious lady", Physics Today '''61''' (1) pp. 55-57 (2008)] | |||
[[category: statistical mechanics]] | [[category: statistical mechanics]] | ||
Latest revision as of 17:19, 17 July 2017
The Fermi-Pasta-Ulam experiment [1] consisted of a one dimensional system composed of 64 particles, whose ends were fixed, and the particles were connected by a selection of forces; quadratic, cubic, and "broken"-linear. Their main finding was that there was an apparent lack of equipartition of energy amongst the available degrees of freedom, even after as many as 10,000 cycles on their fast electronic computing machine (MANIAC I).
See also[edit]
References[edit]
Related reading
- Thierry Dauxois, Michel Peyrard and Stefano Ruffo "The Fermi–Pasta–Ulam 'numerical experiment': history and pedagogical perspectives", European Journal of Physics 26 pp. S3-S11 (2005)
- Mark Buchanan "Capturing chaos", Nature 435 p. 281 (2005)
- "FOCUS ISSUE: THE "FERMI-PASTA-ULAM" PROBLEM-THE FIRST 50 YEARS", Chaos: An Interdisciplinary Journal of Nonlinear Science 15 March (2005)
- G. P. Berman and F. M. Izrailev "The Fermi–Pasta–Ulam problem: Fifty years of progress", Chaos: An Interdisciplinary Journal of Nonlinear Science 15 015104 (2005)
- "The Fermi-Pasta-Ulam Problem: A Status Report" Lecture Notes in Physics 728/2008 Springer (2008)
- Mason A. Porter, Norman J. Zabusky, Bambi Hu, and David K. Campbell "Fermi, Pasta, Ulam and the Birth of Experimental Mathematics", American Scientist 97 pp. 214-221 (2009)
- Thierry Dauxois and Stefano Ruffo "Fermi-Pasta-Ulam nonlinear lattice oscillations", Scholarpedia, 3(8):5538 (2008)
- Bob Rink "Fermi Pasta Ulam systems (FPU): mathematical aspects", Scholarpedia, 4(12):9217 (2009)
- Thierry Dauxois "Fermi, Pasta, Ulam, and a mysterious lady", Physics Today 61 (1) pp. 55-57 (2008)