We show existence and uniqueness for the solutions to the Newton equations relative to a system of infinitely many particles moving in the three-dimensional space and mutually interacting via a bounded superstable long-range potential. The present paper completes an analogous result obtained for positive short-range interaction.
Dynamics of Infinitely Many Particles Mutually Interacting in Three Dimensions via a Bounded Superstable Long-range Potential / Cavallaro, Guido; Marchioro, Carlo; Spitoni, C.. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - STAMPA. - 120:(2005), pp. 367-417. [10.1007/s10955-005-5466-y]
Dynamics of Infinitely Many Particles Mutually Interacting in Three Dimensions via a Bounded Superstable Long-range Potential
CAVALLARO, GUIDO;MARCHIORO, Carlo;
2005
Abstract
We show existence and uniqueness for the solutions to the Newton equations relative to a system of infinitely many particles moving in the three-dimensional space and mutually interacting via a bounded superstable long-range potential. The present paper completes an analogous result obtained for positive short-range interaction.File | Dimensione | Formato | |
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