Bose-Einstein condensation for general dispersion relations

Autor:	V. C. Aguilera-Navarro, M. A. Solís, M. de Llano
Rok vydání:	1999
Předmět:	Condensed Matter::Quantum Gases Physics Superconductivity Internal energy Condensed matter physics Condensed Matter::Other Phonon Condensation General Physics and Astronomy law.invention law Quantum mechanics Dispersion relation Cooper pair Bose–Einstein condensate Boson
Zdroj:	European Journal of Physics. 20:177-182
ISSN:	1361-6404 0143-0807
DOI:	10.1088/0143-0807/20/3/307
Popis:	Bose-Einstein condensation in an ideal (i.e. interactionless) boson gas can be studied analytically, at university-level statistical and solid state physics, in any positive dimensionality (d>0) for identical bosons with any positive-exponent (s>0) energy-momentum (i.e. dispersion) relation. Explicit formulae with arbitrary d/s are discussed for: the critical temperature (non-zero only if d/s>1); the condensate fraction; the internal energy; and the constant-volume specific heat (found to possess a jump discontinuity only if d/s>2). Classical results are recovered at sufficiently high temperatures. Applications to `ordinary' Bose-Einstein condensation, as well as to photons, phonons, ferro- and antiferromagnetic magnons, and (very specially) to Cooper pairs in superconductivity, are mentioned.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f5a7f9dc11c03df980d6e0f1ee3fca35 https://doi.org/10.1088/0143-0807/20/3/307 Zobrazit plný text záznamu