Occupancy statistics arising from weighted particle rearrangements

Thierry Huillet (1)

1 LPTM - UMR 8089 - Laboratoire de Physique Théorique et Modélisation

The box-occupancy distributions arising from weighted rearrangements of a particle system are investigated. In the grand-canonical ensemble, they are characterized by determinantal joint probability generating functions. For doubly non-negative weight matrices, fractional occupancy statistics, generalizing Fermi-Dirac and Bose-Einstein statistics, can be defined. A spatially extended version of these balls-in-boxes problems is investigated.

Mots clés: correlation functions; occupancy problems; urn models; interaction; Boltzmann weight matrices; balls in boxes; MacMahon master theorem; permanents; correlation functions.

Domaines: Systèmes désordonnés et réseaux de neurones [cond-mat.dis-nn]; Mécanique statistique [cond-mat.stat-mech]

Thierry Huillet. Occupancy statistics arising from weighted particle rearrangements. Journal of Physics A: Mathematical and Theoretical, 2007, 40, pp.9179-9200. ⟨hal-00120316⟩