scholarly journals Logarithmic Sobolev Inequalities for an Ideal Bose Gas

2017 ◽  
pp. 121-133
Author(s):  
Fabio Cipriani
Keyword(s):  
Bose Gas ◽  
Sobolev Inequalities ◽  
Logarithmic Sobolev Inequalities ◽  
Ideal Bose Gas

Particle number fluctuations in an ideal Bose gas

1997 ◽  
Vol 44 (10) ◽  
pp. 1801-1814 ◽  
Author(s):  
MARTIN WILKENS and CHRISTOPH WEISS
Keyword(s):  
Particle Number ◽  
Bose Gas ◽  
Ideal Bose Gas

Condensation of the Ideal Bose Gas as a Cooperative Transition

1968 ◽  
Vol 166 (1) ◽  
pp. 152-158 ◽  
Author(s):  
J. D. Gunton ◽  
M. J. Buckingham
Keyword(s):  
Bose Gas ◽  
Cooperative Transition ◽  
Ideal Bose Gas ◽  
The Ideal

BEYOND STRONG SUBADDITIVITY? IMPROVED BOUNDS ON THE CONTRACTION OF GENERALIZED RELATIVE ENTROPY

1994 ◽  
Vol 06 (05a) ◽  
pp. 1147-1161 ◽  
Author(s):  
MARY BETH RUSKAI
Keyword(s):  
Relative Entropy ◽  
Discrete Case ◽  
Sobolev Inequalities ◽  
Completely Positive ◽  
Logarithmic Sobolev Inequalities ◽  
Strong Subadditivity

New bounds are given on the contraction of certain generalized forms of the relative entropy of two positive semi-definite operators under completely positive mappings. In addition, several conjectures are presented, one of which would give a strengthening of strong subadditivity. As an application of these bounds in the classical discrete case, a new proof of 2-point logarithmic Sobolev inequalities is presented in an Appendix.

ON CONDENSATION IN NON-IDEAL BOSE GAS

1989 ◽  
Vol 03 (06) ◽  
pp. 471-478
Author(s):  
D.P. SANKOVICH
Keyword(s):  
Critical Temperature ◽  
Low Temperature ◽  
Upper Bound ◽  
Bose Gas ◽  
The One ◽  
Ideal Bose Gas

A model of the non-ideal Bose gas is considered. We prove the existence of condensate in the model at sufficiently low temperature. The method of majorizing estimates for the Duhamel Two Point Functions is used. The equation for the critical temperature and the upper bound for the one-particle excitations energy are obtained.

scholarly journals Complete logarithmic Sobolev inequalities via Ricci curvature bounded below

2022 ◽  
Vol 394 ◽  
pp. 108129
Author(s):  
Michael Brannan ◽  
Li Gao ◽  
Marius Junge
Keyword(s):  
Ricci Curvature ◽  
Sobolev Inequalities ◽  
Logarithmic Sobolev Inequalities ◽  
Bounded Below

The condensation of ideal Bose gas in a gravitational field

2012 ◽  
Vol 407 (21) ◽  
pp. 4375-4378 ◽  
Author(s):  
Cong-Fei Du ◽  
Hong Li ◽  
Zhen-Quan Lin ◽  
Xiang-Mu Kong
Keyword(s):  
Gravitational Field ◽  
Bose Gas ◽  
Ideal Bose Gas
Sign in / Sign up

Export Citation Format

Share Document