On the Bose-Einstein condensation of an ideal gas
نویسندگان
چکیده
منابع مشابه
Bose-Einstein condensation in the relativistic ideal Bose gas.
The Bose-Einstein condensation (BEC) critical temperature in a relativistic ideal Bose gas of identical bosons, with and without the antibosons expected to be pair-produced abundantly at sufficiently hot temperatures, is exactly calculated for all boson number densities, all boson point rest masses, and all temperatures. The Helmholtz free energy at the critical BEC temperature is lower with an...
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We study an ideal Bose gas of N atoms contained in a box formed by two identical planar and parallel surfaces S , enclosed by a mantle of height a perpendicular to them. Calling r0 the mean atomic distance, we assume S ≫ r 0 , while a may be comparable to r0. In the bidimensional limit (a/r0 ≡ γ << 1) we find a macroscopic number of atoms in the condensate at temperatures T ∼ O(1/ log(N)); ther...
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The Phenomenon of multi-step Bose-Einstein condensation (BEC) of a finite number of non-interacting bosons in anisotropic traps has been demonstrated by studing the populations on eight subsets of states. The cusp in the specific heat is found to be associated with the crossover between subsets of states involving Bose functions gn(z) of different classes, as specified by their behaviour at z =...
متن کاملThe Ideal Bose — Einstein Gas , Revisited
Some questions concerning the ideal Bose—Einstein gas are reviewed and examined further. The bulk behavior including the condensation phenomenon is characterized by the thermodynamical properties, occupations of the states and their fluctuations, and the properties of the density matrices, including the diagonal and off-diagonal long range orders. Particular attention is focused on the differen...
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We reconcile a long-standing controversy regarding the transition temperature of the Bose-Einstein condensation in a dilute interacting Bose gas, by showing that there is a crossover between ideal gas and interacting gas. The former corresponds to a Knudsen (or collisionless) regime, in which the mean-free-path is much larger than the system dimension, while the latter corresponds to the opposi...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1979
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf01220501