Universität zu Köln

Betz, Volker, Dereich, Steffen and Moerters, Peter (2018). The Shape of the Emerging Condensate in Effective Models of Condensation. Ann. Henri Poincare, 19 (6). S. 1869 - 1890. CHAM: SPRINGER INTERNATIONAL PUBLISHING AG. ISSN 1424-0661

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Abstract

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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Betz, Volker UNSPECIFIED UNSPECIFIED UNSPECIFIED Dereich, Steffen UNSPECIFIED UNSPECIFIED UNSPECIFIED Moerters, Peter UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-185376
DOI:	10.1007/s00023-018-0673-7
Journal or Publication Title:	Ann. Henri Poincare
Volume:	19
Number:	6
Page Range:	S. 1869 - 1890
Date:	2018
Publisher:	SPRINGER INTERNATIONAL PUBLISHING AG
Place of Publication:	CHAM
ISSN:	1424-0661
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language BOLTZMANN-EQUATION; SELECTION; DYNAMICS Multiple languages Physics, Multidisciplinary; Physics, Particles & Fields; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/18537