The shape of the emerging condensate in effective models of condensation

Abstract

We consider effective models of condensation where the condensation occurs as time t goes to infinity. We provide natural conditions under which the build-up of the condensate occurs on a spatial scale of 1/t and has the universal form of a Gamma density. The exponential parameter of this density is determined only by the equation and the total mass of the condensate, while the power law parameter may in addition depend on the decay properties of the initial condition near the condensation point. We apply our results to some examples, including simple models of Bose-Einstein condensation.

Cited by in corpus (4)

• Steady states in a non-conserving zero-range process with extensive rates as a model for the balance of selection and mutation
• Kingman's model with random mutation probabilities: convergence and condensation II
• Upper large deviations for power-weighted edge lengths in spatial random networks
• Kingman's House-of-Cards model: random mutation probabilities and random matrices