Particle condensation in pair exclusion process.
Condensation is characterized with a single macroscopic condensate whose mass is proportional to a system size N . We demonstrate how important particle interactions are in condensation phenomena. We study a modified version of the zero-range process by including a pair exclusion. Each particle is associated with its own partner and particles of a pair are forbidden to stay at the same site. The pair exclusion is weak in that a particle interacts with only a single one among all others. It turns out that such a weak interaction changes the nature of condensation drastically. There appear a number of mesoscopic condensates: the mass of a condensate scales as m con ∼ N 1/2 and the number of condensates scales as N con ∼ N 1/2 with a logarithmic correction. These results are derived analytically through a mapping to a solvable model under a certain assumption and confirmed numerically.
Kim
Sang-Woo
SW
Department of Physics, University of Seoul, Seoul 130-743, Korea.
Lee
Joongul
J
Noh
Jae Dong
JD