scholarly journals Limits of validity for a semiclassical mean-field two-fluid model for Bose–Einstein condensation thermodynamics

2000 ◽  
Vol 286 (1-2) ◽  
pp. 299-306 ◽  
Author(s):  
Sadhan K Adhikari ◽  
A Gammal
2019 ◽  
Vol 20 (05) ◽  
pp. 2050031
Author(s):  
Sergio Albeverio ◽  
Francesco C. De Vecchi ◽  
Andrea Romano ◽  
Stefania Ugolini

A stochastic approach to the (generic) mean-field limit in Bose–Einstein Condensation is described and the convergence of the ground-state energy as well as of its components are established. For the one-particle process on the path space, a total variation convergence result is proved. A strong form of Kac’s chaos on path-space for the [Formula: see text]-particles probability measures is derived from the previous energy convergence by purely probabilistic techniques notably using a simple chain-rule of the relative entropy. Fisher’s information chaos of the fixed-time marginal probability density under the generic mean-field scaling limit and the related entropy chaos result are also deduced.


1991 ◽  
Vol 340 (4) ◽  
pp. 385-391 ◽  
Author(s):  
Y. B. Ivanov ◽  
V. N. Russkikh ◽  
M. Sch�nhofen ◽  
M. Cubero ◽  
B. L. Friman ◽  
...  

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