Curiosities of arithmetic gases

Ioannis Bakas, Mark J. Bowick

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


Statistical mechanical systems with an exponential density of states are considered. The arithmetic analog of parafermions of arbitrary order is constructed and a formula for boson-parafermion equivalence is obtained using properties of the Riemann zeta function. Interactions (nontrivial mixing) among arithmetic gases using the concept of twisted convolutions are also introduced. Examples of exactly solvable models are discussed in detail.

Original languageEnglish (US)
Pages (from-to)1881-1884
Number of pages4
JournalJournal of Mathematical Physics
Issue number7
StatePublished - 1991

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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