Statistical thermodynamics in relativistic particle and ion physics: Canonical or grand canonical?
Abstract
We consider relativistic statistical thermodynamics of an ideal Boltzmann gas consisting of the particles K, N, Λ, Σ and their antiparticles. Baryon number ( B) and strangeness ( S) are conserved. While any relativistic gas is necessarily grand canonical with respect to particle numbers, conservation laws can be treated canonically or grand canonically. We construct the partition function for canonical B×S conservation and compare it with the grand canonical one. It is found that the grand canonical partition function is equivalent to a large B approximation of the canonical one. The relative difference between canonical and grand canonical quantities seems to decrease like const/ B (two numerical examples) and from this a simple thumb rule for computing canonical quantities from grand canonical ones is guessed. For precise calculations, an integral representation is given.
 Publication:

Zeitschrift fur Physik C Particles and Fields
 Pub Date:
 December 1985
 DOI:
 10.1007/BF01436508
 Bibcode:
 1985ZPhyC..27..541H