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4He spectrum shift caused by 3He admixture II

D. Baranov and V. Yarunin

Physica A: Statistical Mechanics and its Applications, 2001, vol. 296, issue 3, 337-346

Abstract: The shift ΔE of a maxon–roton 4He excitation spectrum E via the 3He admixture is considered theoretically. The Bogoliubov formula for E(ρ,g) as a function of Bose-condensate density ρ and of 4He/4He interaction g is used as an element of partition function formalism of the whole system, presented in the form of a path (functional) integral. The dependence of ρ on g, 4He/3He interaction λ as well as on the pressure P, induced by the 3He admixture, is taken into account. The new model of g, suitable for analytical calculations, is used for a description of a change of P within a constant volume. The cases of positive and negative shifts are found as the result of competition between interactions g and λ.

Keywords: Bose–Einstein condensation; 4He⇌3He energy transfer; Pressure; Spectrum of noncondensate excitations (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:296:y:2001:i:3:p:337-346

DOI: 10.1016/S0378-4371(01)00174-1

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