Annales Henri Poincaré

, Volume 19, Issue 6, pp 1869–1889 | Cite as

The Shape of the Emerging Condensate in Effective Models of Condensation

  • Volker Betz
  • Steffen Dereich
  • Peter Mörters


We consider effective models of condensation where the condensation occurs as time t goes to infinity. We provide natural conditions under which the buildup 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.


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© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Fachbereich MathematikTU DarmstadtDarmstadtGermany
  2. 2.Institut für mathemtaische StochastikUniversität MünsterMunsterGermany
  3. 3.Mathematisches InstitutUniversität zu KölnCologneGermany

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