Fermi-Pasta-Ulam experiment: Difference between revisions

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(New page: ==References== #[http://lib-www.lanl.gov/cgi-bin/getfile?00353569.pdf Enrico Fermi and John R. Pasta and Stanislaw M. Ulam "Studies of the nonlinear problems", Los Alamos Scientific Labora...)
 
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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>
==See also==
*[[Ergodic hypothesis]]
==References==
==References==
#[http://lib-www.lanl.gov/cgi-bin/getfile?00353569.pdf Enrico Fermi and John R. Pasta and Stanislaw M. Ulam "Studies of the nonlinear problems", Los Alamos Scientific Laboratory Report '''LA-1940''' (1955)]
<references/>
#[http://dx.doi.org/10.1088/0143-0807/26/5/S01 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)]
'''Related reading'''
#[http://dx.doi.org/10.1038/435281a Mark Buchanan "Capturing chaos", Nature '''435''' p. 281 (2005)]
*[http://dx.doi.org/10.1088/0143-0807/26/5/S01 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)]
See Chaos: An Interdisciplinary Journal of Nonlinear Science , [http://scitation.aip.org/dbt/dbt.jsp?KEY=CHAOEH&Volume=15&Issue=1 March 2005] "FOCUS ISSUE: THE "FERMI-PASTA-ULAM" PROBLEM-THE FIRST 50 YEARS":
*[http://dx.doi.org/10.1038/435281a Mark Buchanan "Capturing chaos", Nature '''435''' p. 281 (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://scitation.aip.org/dbt/dbt.jsp?KEY=CHAOEH&Volume=15&Issue=1 "FOCUS ISSUE: THE "FERMI-PASTA-ULAM" PROBLEM-THE FIRST 50 YEARS", Chaos: An Interdisciplinary Journal of Nonlinear Science '''15''' March (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/10.1511/2009.78.214 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 16:19, 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]

  1. ↑ Enrico Fermi, John R. Pasta and Stanislaw M. Ulam "Studies of nonlinear problems I", Los Alamos Scientific Laboratory Report LA-1940 (1955)

Related reading

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