Bose Condensation and Temperature

2001/03/27 by Enrico Celeghini, E. Celeghini, Celeghini, Enrico +2
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Quantum, superfluid, helium dynamics #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0103555

4 pages, 5 figures

arxiv created 2001/03/27 · openalex publication_date 2001/03/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A quantitative analysis of the process of condensation of bosons both in harmonic traps and in gases is made resorting to two ingredients only: Bose classical distribution and spectral discretness. It is shown that in order to take properly into account statistical correlations, temperature must be defined from first principles, based on Shannon entropy, and turns out to be equal to β^-1 only for T > T_c where the usual results are recovered. Below T_c a new critical temperature T_d is found, where the specific heat exhibits a sharp spike, similar to the λ-peak of superfluidity.

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