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...
متن کاملQuantum gas-liquid condensation in an attractive Bose gas.
Gas-liquid condensation (GLC) in an attractive Bose gas is studied on the basis of statistical mechanics. Using some results in combinatorial mathematics, the following are derived. (1) With decreasing temperature, the Bose-statistical coherence grows in the many-body wave function, which gives rise to the divergence of the grand partition function prior to Bose-Einstein condensation. It is a q...
متن کاملBose-Einstein condensation of a Knudsen gas
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...
متن کاملCollisional statistics of the hard-sphere gas.
We investigate the probability distribution functions of the free flight time and of the number of collisions in a hard-sphere gas at equilibrium. At variance with naive expectation, the latter quantity does not follow Poissonian statistics, even in the dilute limit, which is the focus of the present analysis. The corresponding deviations are addressed both numerically and analytically. In writ...
متن کاملThe Onset of Chaos in the Quantum Hard-Sphere Gas
We show that the condition for the appearance of quantum chaos (Wigner-Dyson distribution of energy eigenvalues, gaussian-random energy eigenfunctions) in a dilute gas of many hard spheres is λ ≪ l, where λ is the wavelength of a typical particle and l is the mean free path between collisions. For fermions with Fermi wavelength λF ≪ l, this implies that all energy eigenstates, including the gro...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1971
ISSN: 0033-068X
DOI: 10.1143/ptp.45.2002