Interesting Esoterica

Curiosities of arithmetic gases

Article by Ioannis Bakas and Mark J. Bowick
  • Published in 1991
  • Added on
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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 bosonā€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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key
Curiositiesofarithmeticgases
type
article
date_added
2017-10-16
date_published
1991-05-24

BibTeX entry

@article{Curiositiesofarithmeticgases,
	key = {Curiositiesofarithmeticgases},
	type = {article},
	title = {Curiosities of arithmetic gases},
	author = {Ioannis Bakas and Mark J. Bowick},
	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 bosonā€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.},
	comment = {},
	date_added = {2017-10-16},
	date_published = {1991-05-24},
	urls = {http://aip.scitation.org/doi/10.1063/1.529511,http://aip.scitation.org/doi/pdf/10.1063/1.529511},
	collections = {Unusual arithmetic},
	url = {http://aip.scitation.org/doi/10.1063/1.529511 http://aip.scitation.org/doi/pdf/10.1063/1.529511},
	urldate = {2017-10-16},
	year = 1991
}