Curvature, torsion, microcanonical density and stochastic transition

被引:8
作者
Alabiso, C
Besagni, N
Casartelli, M
Marenzoni, P
机构
[1] IST NAZL FIS NUCL,GRP COLLEGATO PARMA,PARMA,ITALY
[2] INFM,PARMA,ITALY
[3] UNIV PARMA,DIPARTIMENTO INGN INFORMAZ,I-43100 PARMA,ITALY
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 14期
关键词
D O I
10.1088/0305-4470/29/14/003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We introduce geometrical indicators (Frenet-Serret curvature and torsion) together with microcanonical density to give evidence to the stochastic transition of classical Hamiltonian models (Fermi-Pasta-Ulam and Lennard-Jones systems) when the specific energy grows. The transition is clearly detected through the breakdown of the harmonic-like behaviour, in combination with the vanishing of the dependence on the initial conditions. This method of analysis presents both experimental and theoretical advantages: it is fast and gives relatively sharp answers for the transition; moreover, a new insight is allowed on the deformations and the destruction of invariant surfaces in the ordered regime. Among the results, it is noteworthy that going from 32 to 4096 degrees of freedom the stochastic transition depends only on the specific energy and not on the number of degrees of freedom.
引用
收藏
页码:3733 / 3747
页数:15
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