2005/05/26 by Viktor Begun, V. V. Begun, M. I. Gorenstein +3
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Canonical ensemble #Cold Atom Physics and Bose-Einstein Condensates #Grand canonical ensemble #High-Energy Particle Collisions Research #Ideal gas #Limit (mathematics) #Mathematics #Microcanonical ensemble #Monte Carlo method #Particle number #Physics #Quantum mechanics #Statistical ensemble #Statistical physics #Statistics #Thermodynamic beta #Thermodynamic limit #Thermodynamic process #Volume (thermodynamics) #nucl-th
paper · pdf · doi:10.1088/0954-3899/32/7/004
published as J.Phys.G32:935-948,2006 · ReVTeX4, 12 pages, 2 figures
arxiv created 2005/05/26 · openalex publication_date 2006/05/19 · arxiv updated 2011/07/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A new method is proposed for a treatment of ideal quantum gases in the grand microcanonical ensemble near the thermodynamic limit. The method allows rigorous asymptotic calculations of the average number of particles and particle number fluctuations in the system with exactly fixed total energy. It also gives the finite-volume corrections for the total average number of particles and for higher moments of the particle number distribution in a grand microcanonical system approaching the thermodynamic limit. The present consideration confirms our previous findings that the scaled variance for particle number fluctuations in the grand microcanonical ensemble is different from that in the grand canonical ensemble even in the thermodynamic limit.