On the most compact regular lattices in large dimensions: A statistical mechanical approach (Articolo in rivista)

Type
Label
  • On the most compact regular lattices in large dimensions: A statistical mechanical approach (Articolo in rivista) (literal)
Anno
  • 2008-01-01T00:00:00+01:00 (literal)
Alternative label
  • Parisi, G (2008)
    On the most compact regular lattices in large dimensions: A statistical mechanical approach
    in Journal of statistical physics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Parisi, G (literal)
Pagina inizio
  • 207 (literal)
Pagina fine
  • 234 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 132 (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Univ Roma La Sapienza, Dipartimento Fis, Sezione INFN SMC INFM CNR, I-00185 Rome, Italy (literal)
Titolo
  • On the most compact regular lattices in large dimensions: A statistical mechanical approach (literal)
Abstract
  • In this paper I will consider the computation of the maximum density of regular lattices in large dimensions using an approach based on statistical mechanics. The starting point will be some theorems of Rogers, which are virtually unknown in the community of physicists. Using his approach one can find many similarities (and differences) with the problem of computing the entropy of a system of hard spheres. The relation between the two problems is investigated in detail. Some conjectures are presented: further investigation is needed in order to check their consistency. (literal)
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