On the Bose-Einstein distribution and Bose condensation
V. P. Maslov (1, 2), V. E. Nazaikinskii (2) ((1) Moscow State, University, (2) Institute for Problems in Mechanics, RAS, Moscow)
TL;DR
This paper provides precise estimates on how quickly the occupation numbers of identical Bose particles converge to the Bose-Einstein distribution and analyzes the conditions leading to Bose condensation.
Contribution
It offers sharp mathematical bounds for convergence rates and clarifies the onset of Bose condensation in systems with integer energy levels.
Findings
Sharp estimates for convergence to Bose-Einstein distribution
Conditions for Bose condensation identified
Quantitative analysis of occupation number behavior
Abstract
For a system of identical Bose particles sitting on integer energy levels, we give sharp estimates for the convergence of the sequence of occupation numbers to the Bose-Einstein distribution and for the Bose condensation effect.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · advanced mathematical theories · Stochastic processes and statistical mechanics