We study the time evolution of a system of infinitely many charged particles confined by an external magnetic field in an unbounded cylindrical conductor and mutually interacting via the Coulomb force. We prove the existence, uniqueness and quasi-locality of the motion. Moreover, we give some non trivial bounds on its long-time behavior.
On the dynamics of infinitely many charged particles with magnetic confinement / Butta', Paolo; S., Caprino; Cavallaro, Guido; Marchioro, Carlo. - In: BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B. - ISSN 0392-4041. - STAMPA. - 9:2(2006), pp. 371-395.
On the dynamics of infinitely many charged particles with magnetic confinement
BUTTA', Paolo;CAVALLARO, GUIDO;MARCHIORO, Carlo
2006
Abstract
We study the time evolution of a system of infinitely many charged particles confined by an external magnetic field in an unbounded cylindrical conductor and mutually interacting via the Coulomb force. We prove the existence, uniqueness and quasi-locality of the motion. Moreover, we give some non trivial bounds on its long-time behavior.File allegati a questo prodotto
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