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arXiv: 1207.1953

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Random point field approach to analysis of anisotropic Bose-Einstein condensations

Hiroshi Tamura 1, Valentin A. Zagrebnov 2

(2012-03-17)

Position distributions of constituent particles of the perfect Bose-gas trapped in exponentially and polynomially anisotropic boxes are investigated by means of the boson random point fields (processes) and by the spatial random distribution of particle density. Our results include the case of \textit{generalised} Bose-Einstein Condensation. For exponentially anisotropic quasi two-dimensional system (SLAB), we obtain \textit{three} qualitatively different particle density distributions. They correspond to the \textit{normal} phase, the quasi-condensate phase (type III generalised condensation) and to the phase when the type III and the type I Bose condensations co-exist. An interesting feature is manifested by the type II generalised condensation in one-directional polynomially anisotropic system (BEAM). In this case the particle density distribution rests truly random even in the \textit{macroscopic} scaling limit.

1:	Graduate School of the Natural Science and Technology
	Kanazawa University
2:	Centre de Physique Théorique (CPT)
	CNRS : FR2291 – Université de Provence - Aix-Marseille I – Université de la Méditerranée - Aix-Marseille II – Université Sud Toulon Var

Subject

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Mathematics/Mathematical Physics

Keyword(s): random point fields (processus) – quantum statistical mechanics – Bose-Einstein condensation – anisotropic systems – spacial particle density

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From: Valentin Zagrebnov <>

Submitted on: Sunday, 8 July 2012 20:57:18

Updated on: Monday, 9 July 2012 08:13:44