Evolution of averaged action variables in weakly non-integrable Hamiltonian systems (Q2755774)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Evolution of averaged action variables in weakly non-integrable Hamiltonian systems |
scientific article; zbMATH DE number 1672074
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Evolution of averaged action variables in weakly non-integrable Hamiltonian systems |
scientific article; zbMATH DE number 1672074 |
Statements
Evolution of averaged action variables in weakly non-integrable Hamiltonian systems (English)
0 references
12 November 2001
0 references
angle-averaged distribution function
0 references
projection operators
0 references
Liouville equation
0 references
single-particle phase-space distribution
0 references
weakly non-integrable Hamiltonian system
0 references
kinetic equation
0 references
Fokker-Planck equation
0 references
memory integral
0 references
moment map reduction
0 references
multi-particle tracking
0 references
The angle-averaged distribution function of action variables is studied by means of projection operators on the basis of Liouville equation for single-particle phase-space distribution of weakly non-integrable Hamiltonian system. It is shown that the angle-averaged distribution function is governed by a kinetic equation similar to Fokker-Planck equation but with a memory integral. Some examples are given, a moment map reduction is worked out, and the results agree well with several results obtained by using multi-particle tracking.
0 references
