Bose-Einstein Condensation, the Lambda Transition, and Superfluidity for Interacting Bosons

• URL: http://arxiv.org/abs/2201.07382v1
• Date: Wed, 19 Jan 2022 02:14:26 GMT
• Title: Bose-Einstein Condensation, the Lambda Transition, and Superfluidity for Interacting Bosons
• Authors: Phil Attard
• Abstract summary: Bose-Einstein condensation and the $lambda$-transition are described in molecular detail for bosons interacting with a pair potential. New phenomena are identified that are absent in the usual ideal gas treatment.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Bose-Einstein condensation and the $\lambda$-transition are described in molecular detail for bosons interacting with a pair potential. New phenomena are identified that are absent in the usual ideal gas treatment. Monte Carlo simulations of Lennard-Jones helium-4 neglecting ground momentum state bosons give a diverging heat capacity approaching the transition. Pure permutation loops give continuous growth in the occupancy of the ground momentum state. Mixed ground and excited momentum state permutation loops give a discontinuous transition to the condensed phase. The consequent latent heat for the $\lambda$-transition is 3\% of the total energy. The predicted critical velocity for superfluid flow is within a factor of three of the measured values over three orders of magnitude in pore diameter.

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