Zero-range condensation at criticality

• Autores: Armendáriz, I.; Grosskinsky, S.; Loulakis, M.
• Año de publicación: 2013
• Idioma: inglés
• Tipo de recurso: artículo
• Fuente: Stoch. Processes Appl. 2013;123(9):3466-3496
• Materia: Condensation; Conditional maximum; Subexponential tails; Zero-range process; Condensation transition; Conditional maximum; Critical density; Law of large numbers; Limiting values; Stretched exponential; Subexponential tails; Zero-range process; Computer simulation; Statistics; Stochastic systems; Condensation
• Institución: Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales

Zero-range processes with jump rates that decrease with the number of particles per site can exhibit a condensation transition, where a positive fraction of all particles condenses on a single site when the total density exceeds a critical value. We consider rates which decay as a power law or a stretched exponential to a non-zero limiting value, and study the onset of condensation at the critical density. We establish a law of large numbers for the excess mass fraction in the maximum, as well as distributional limits for the fluctuations of the maximum and the fluctuations in the bulk. © 2013 Elsevier B.V. All rights reserved.
Fil:Armendáriz, I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.