Curiosities of arithmetic gases

Ioannis Bakas; Mark J. Bowick

doi:10.1063/1.529511

Curiosities of arithmetic gases

Ioannis Bakas, Mark J. Bowick

Department of Physics

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	1881-1884
Number of pages	4
Journal	Journal of Mathematical Physics
Volume	32
Issue number	7
DOIs	https://doi.org/10.1063/1.529511
State	Published - 1991

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.529511

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title = "Curiosities of arithmetic gases",

abstract = "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.",

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AB - 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.

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Curiosities of arithmetic gases

Abstract

ASJC Scopus subject areas

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