dorsal/arxiv
View SchemaKinetic limit of N-body description of wave-particle self- consistent interaction
| Authors | M. C. Firpo, Y. Elskens |
|---|---|
| Categories | |
| ArXiv ID | physics/9710034 |
| URL | https://arxiv.org/abs/physics/9710034 |
| DOI | 10.1023/B:JOSS.0000026732.51044.87 |
| Journal | J. Stat. Phys. 93 (1998) 193-209 |
Abstract
A system of N particles eN=(x1,v1,...,xN,vN) interacting self-consistently with M waves Zn=An*exp(iTn) is considered. Hamiltonian dynamics transports initial data (eN(0),Zn(0)) to (eN(t),Zn(t)). In the limit of an infinite number of particles, a Vlasov-like kinetic equation is generated for the distribution function f(x,v,t), coupled to envelope equations for the M waves. Any initial data (f(0),Z(0)) with finite energy is transported to a unique (f(t),Z(t)). Moreover, for any time T>0, given a sequence of initial data with N particles distributed so that the particle distribution fN(0)-->f(O) weakly and with Zn(0)-->Z(O) as N tends to infinity, the states generated by the Hamiltonian dynamics at all time 0<t<T are such that (eN(t),Zn(t)) converges weakly to (f(t),Z(t)). Comments: Kinetic theory, Plasma physics.
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"abstract": "A system of N particles eN=(x1,v1,...,xN,vN) interacting self-consistently\nwith M waves Zn=An*exp(iTn) is considered. Hamiltonian dynamics transports\ninitial data (eN(0),Zn(0)) to (eN(t),Zn(t)). In the limit of an infinite number\nof particles, a Vlasov-like kinetic equation is generated for the distribution\nfunction f(x,v,t), coupled to envelope equations for the M waves. Any initial\ndata (f(0),Z(0)) with finite energy is transported to a unique (f(t),Z(t)).\nMoreover, for any time T\u003e0, given a sequence of initial data with N particles\ndistributed so that the particle distribution fN(0)--\u003ef(O) weakly and with\nZn(0)--\u003eZ(O) as N tends to infinity, the states generated by the Hamiltonian\ndynamics at all time 0\u003ct\u003cT are such that (eN(t),Zn(t)) converges weakly to\n(f(t),Z(t)). Comments: Kinetic theory, Plasma physics.",
"arxiv_id": "physics/9710034",
"authors": [
"M. C. Firpo",
"Y. Elskens"
],
"categories": [
"physics.plasm-ph",
"chao-dyn",
"nlin.CD"
],
"doi": "10.1023/B:JOSS.0000026732.51044.87",
"journal_ref": "J. Stat. Phys. 93 (1998) 193-209",
"title": "Kinetic limit of N-body description of wave-particle self- consistent interaction",
"url": "https://arxiv.org/abs/physics/9710034"
},
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