harmonic analysis on amenable networks and the Bose-Einstein Condensation
نویسنده
چکیده
We present the new and unexpected results concerning the Bose–Einstein Condensation for the Pure Hopping Model, describing the thermodynamic behaviour of Bardeen–Cooper pairs in arrays of Josephson junctions located on non homogeneous amenable networks. For this particular situation arising from physics, the results are obtained by a detailed analysis concerning harmonic analysis of the adjacency matrix of the involved networks. The non amenable cases will also be briefly outlined.
منابع مشابه
Numerical analysis of Bose–Einstein condensation in a three-dimensional harmonic oscillator potential
Bose–Einstein condensation is the anomalous accumulation of particles in the ground state of a system of bosons, when compared with the population in a system of particles obeying classical statistics. I use undergraduate-level statistical mechanics and a symbolic algebra computer program to study the occupation numbers of the energy levels of a finite number of noninteracting particles confine...
متن کاملBose-Einstein condensation of atomic gases in a general harmonic-oscillator confining potential trap.
Abstract: We present an analysis of Bose-Einstein condensation for a system of noninteracting spin-0 particles in a harmonic oscillator confining potential trap. We discuss why a confined system of particles differs both qualitatively and quantitatively from an identical system which is not confined. One crucial difference is that a confined system is not characterized by a critical temperature...
متن کاملNOTES AND DISCUSSIONS Comment on ‘‘Numerical analysis of Bose–Einstein condensation in a three-dimensional harmonic oscillator potential,’’ by Martin Ligare †Am. J. Phys. 66 „3..., 185–190 „1998...‡—An extension to anisotropic traps and lower dimensions
In a recent article in this journal I pointed out that the harmonic oscillator potential used to model most experiments on Bose–Einstein condensation of atomic gases simplifies the numerical analysis. In this note I extend my previous analysis to allow for anisotropic confining potentials. This extension yields a better comparison with real experiments ~which are performed in anisotropic confin...
متن کاملCritical temperature of Bose-Einstein condensation for weakly interacting bose gas in a potential trap
The critical temperature of Bose-Einstein condensation at minimum momentum state for weakly interacting Bose gases in a power-law potential and the deviation of the critical temperature from ideal bose gas are studied. The effect of interaction on the critical temperature is ascribed to the ratiao α/λc, where α is the scattering length for s wave and λc is de Broglie wavelength at critical temp...
متن کاملFrom number theory to statistical mechanics: Bose–Einstein condensation in isolated traps
We question the validity of the grand canonical ensemble for the description of Bose–Einstein condensation of small ideal Bose gas samples in isolated harmonic traps. While the ground state fraction and the specific heat capacity can be well approximated with the help of the conventional grand canonical arguments, the calculation of the fluctuation of the number of particles contained in the co...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2014