Fermi-Pasta-Ulam experiment - Revision history

Carl McBride: /* References */ added 'last' page

2017-07-17T15:19:43Z

References: added 'last' page

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	*[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.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/10.4249/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) p. 55 (2008)]		*[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]]

Carl McBride: Added a publication concerning Mary Tsingou

2017-07-17T15:08:39Z

Added a publication concerning Mary Tsingou

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	*[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/10.1511/2009.78.214 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)]
	~~==External links==~~
	*[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.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/10.4249/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) p. 55 (2008)]

	[[category: statistical mechanics]]		[[category: statistical mechanics]]

Carl McBride: /* External links */ Added another Scholarpedia link

2011-02-10T14:51:33Z

External links: Added another Scholarpedia link

← Older revision		Revision as of 16:51, 10 February 2011
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	*[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/10.1511/2009.78.214 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)]
	==External links==		==External links==
	*[http://~~www~~.~~scholarpedia~~.org/~~article~~/~~Fermi-Pasta-Ulam_nonlinear_lattice_oscillations~~ Fermi-Pasta-Ulam nonlinear lattice oscillations] ~~on Scholar''pedia''~~		*[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)]

	[[category: statistical mechanics]]		[[category: statistical mechanics]]

Carl McBride: Added a see also section

2010-05-04T10:50:40Z

Added a see also section

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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).		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/>

Carl McBride: Added an external link

2010-05-04T10:47:32Z

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	*[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)]
			==External links==
			*[http://www.scholarpedia.org/article/Fermi-Pasta-Ulam_nonlinear_lattice_oscillations Fermi-Pasta-Ulam nonlinear lattice oscillations] on Scholar''pedia''
	[[category: statistical mechanics]]		[[category: statistical mechanics]]

Carl McBride: Enlarged the image.

2010-05-04T10:40:57Z

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	~~{{Stub-general}}~~
	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\|~~500px~~]]<br>		<br>[[Image:FPU_experiment.png\|1000px]]<br>
	==References==		==References==
	<references/>		<references/>

Carl McBride: Added an image

2010-05-04T10:38:41Z

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	{{Stub-general}}		{{Stub-general}}
	The '''Fermi-Pasta-Ulam experiment''' <ref>[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)]</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.		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\|500px]]<br>
	==References==		==References==
	<references/>		<references/>

Carl McBride: Added some text.

2010-05-04T10:18:53Z

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	{{Stub-general}}		{{Stub-general}}
	==~~Interesting reading~~==		The '''Fermi-Pasta-Ulam experiment''' <ref>[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)]</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.
			==References==
			<references/>
			'''Related reading'''
	*[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)]		*[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)]
	*[http://dx.doi.org/10.1038/435281a Mark Buchanan "Capturing chaos", Nature '''435''' p. 281 (2005)]		*[http://dx.doi.org/10.1038/435281a Mark Buchanan "Capturing chaos", Nature '''435''' p. 281 (2005)]
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	*[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)]
	~~==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)]
	[[category: statistical mechanics]]		[[category: statistical mechanics]]

Nice and Tidy: /* References */ Started an interesting reading section.

2009-01-22T17:57:53Z

References: Started an interesting reading section.

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 {{Stub-general}}
 ==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)]
 [[category: statistical mechanics]]

Carl McBride at 17:59, 9 October 2007

2007-10-09T17:59:29Z

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			{{Stub-general}}
	==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)]		#[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)]
	#[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)]		#[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)]
	#[http://dx.doi.org/10.1038/435281a Mark Buchanan "Capturing chaos", Nature '''435''' p. 281 (2005)]		#[http://dx.doi.org/10.1038/435281a Mark Buchanan "Capturing chaos", Nature '''435''' p. 281 (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":		See also: ''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/10.1063/1.1855036 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)]
	[[category: statistical mechanics]]		[[category: statistical mechanics]]