The equilibrium states and the time asymptotic behavior of Spitzer's zero-range interaction scheme are studied in the case of a positive-recurrent, irreducible single particle law and an attractive speed function. It is shown that within the natural phase space of finitely many particles per cell, clusters occur which lead time-asymptotically to infinite occupancy by certain individual cells. These cells are then identified in terms of the parameters of the model.
@article{1176994719,
author = {Waymire, Ed},
title = {Zero-Range Interaction at Bose-Einstein Speeds Under a Positive Recurrent Single Particle Law},
journal = {Ann. Probab.},
volume = {8},
number = {6},
year = {1980},
pages = { 441-450},
language = {en},
url = {http://dml.mathdoc.fr/item/1176994719}
}
Waymire, Ed. Zero-Range Interaction at Bose-Einstein Speeds Under a Positive Recurrent Single Particle Law. Ann. Probab., Tome 8 (1980) no. 6, pp. 441-450. http://gdmltest.u-ga.fr/item/1176994719/