The Fermi-Pasta-Ulam 'numerical experiment': history and pedagogical perspectives

被引:59
作者
Dauxois, T [1 ]
Peyrard, M
Ruffo, S
机构
[1] Ecole Normale Super Lyon, CNRS, UMR 5672, Phys Lab, F-69364 Lyon, France
[2] Univ Florence, Dipartimento Energet, I-50139 Florence, Italy
[3] Univ Florence, CSDC, I-50139 Florence, Italy
[4] Ist Nazl Fis Nucl, I-50139 Florence, Italy
关键词
D O I
10.1088/0143-0807/26/5/S01
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
The pioneering Fermi-Pasta-Ulam (FPU) numerical experiment played a major role in the history of computer simulation because it introduced this concept for the first time. Moreover, it raised a puzzling question which was answered more than 10 years later. After an introduction to this problem, we briefly review its history and then suggest some simple numerical experiments, with the Matlab((c)) code provided, to study various aspects of the 'FPU' problem.
引用
收藏
页码:S3 / S11
页数:9
相关论文
共 28 条
[1]  
[Anonymous], 1978, THEORY NONLINEAR LAT
[2]  
Arnol'd V. I., 1963, Uspehi Mat. Nauk, V18, P85, DOI [DOI 10.1070/RM1963V018N06ABEH001143, 10.1070/RM1963v018n06ABEH001143]
[3]  
DAUXOIS T, 2005, PHYS SOLITONS
[4]  
Fermi E., 1955, LA1940
[5]  
Fermi E., 1965, COLLECTED PAPERS E F
[6]   EQUIPARTITION OF ENERGY FOR NONLINEAR SYSTEMS [J].
FORD, J .
JOURNAL OF MATHEMATICAL PHYSICS, 1961, 2 (03) :387-&
[7]   THE FERMI-PASTA-ULAM PROBLEM - PARADOX TURNS DISCOVERY [J].
FORD, J .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1992, 213 (05) :271-310
[8]   RECURRENCE TIME OF A DYNAMICAL SYSTEM [J].
HEMMER, PC ;
MAXIMON, LC ;
WERGELAND, H .
PHYSICAL REVIEW, 1958, 111 (03) :689-694
[9]  
Izrailev F M, 1966, SOV PHYS DOKL, V11, P30
[10]  
JENSEN P, 2002, RECHERCHE, V352, P40