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Dynamics of Infinitely Many Particles Mutually Interacting in Three Dimensions via a Bounded Superstable Long-Range Potential

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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 complete an analogous result obtained for positive short-range interaction.

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Authors and Affiliations

  1. Dipartimento di Matematica, Universitá di Roma, “La Sapienza”, Piazzale A. Moro 2, 00185, Roma, Italy

    G. Cavallaro & C. Marchioro

  2. Dipartimento Metodi e Modelli Matematici, Universitá di Roma, “La Sapienza”, Via A. Scarpa 16, 00185, Roma, Italy

    C. Spitoni

Authors
  1. G. Cavallaro
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  2. C. Marchioro
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  3. C. Spitoni
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Correspondence to G. Cavallaro.

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Cavallaro, G., Marchioro, C. & Spitoni, C. Dynamics of Infinitely Many Particles Mutually Interacting in Three Dimensions via a Bounded Superstable Long-Range Potential. J Stat Phys 120, 367–416 (2005). https://doi.org/10.1007/s10955-005-5466-y

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  • DOI: https://doi.org/10.1007/s10955-005-5466-y

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