Canonical and Microcanonical Distributions for Fermi Systems

Abstract

Recursion relations are presented that allow exact calculation of canonical and microcanonical partition functions of degenerate Fermi systems, assuming no explicit two-body interactions. Calculations of the level density, sorted by angular momentum, are presented for Ni-56 are presented. The issue of treating unbound states is also addressed.

5 pages, 5 figures

References in corpus (4)

• Nuclear Level Density and the Determination of Thermonuclear Rates for Astrophysics
• Total and Parity-Projected Level Densities of Iron-Region Nuclei in the Auxiliary Fields Monte Carlo Shell Model
• Estimating the nuclear level density with the Monte Carlo shell model
• Microscopic Nuclear Level Densities from Fe to Ge by the Shell Model Monte Carlo Method

Cited by in corpus (16)

• Bose-Einstein Condensation, Fluctuations, and Recurrence Relations in Statistical Mechanics
• Thermodynamics of pairing in mesoscopic systems
• Statistical and Dynamic Models of Charge Balance Functions
• Fluctuations in the Canonical Ensemble
• Theory of Non-Interacting Fermions and Bosons in the Canonical Ensemble
• Canonical partition functions: ideal quantum gases, interacting classical gases, and interacting quantum gases
• Generating functions for canonical systems of fermions
• Fluctuations of observables for free fermions in a harmonic trap at finite temperature
• The Quark-Gluon Plasma in a Finite Volume
• Thermodynamics of low-dimensional trapped Fermi gases
• Charge Conservation and Higher Moments of Charge Fluctuations
• Analytical and numerical expressions for the number of atomic configurations contained in a supershell
• Correlations of occupation numbers in the canonical ensemble and application to BEC in a 1D harmonic trap
• Isospin Fluctuations from a Thermally Equilibrated Hadron Gas
• Number of spin-J states and odd-even staggering for identical particles in a single-j shell
• Comment on "Canonical and Mircocanonical Calculations for Fermi Systems"