Curiosities of arithmetic gases

• Published in 1991
• Added on 2017-10-16

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.

Links

• http://aip.scitation.org/doi/10.1063/1.529511
• http://aip.scitation.org/doi/pdf/10.1063/1.529511

Other information

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 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.},
	comment = {},
	date_added = {2017-10-16},
	date_published = {1991-10-09},
	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
}