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Dimensional crossover of a boson gas in multilayers | | P. Salas
; F.J. Sevilla
; M. Fortes
; M. de Llano
; A. Camacho
; M.A. Solís
; | | Date: |
8 Jul 2010 | | Abstract: | We obtain the thermodynamic properties for a non-interacting Bose gas
constrained on multilayers modeled by a periodic Kronig-Penney delta potential
in one direction and allowed to be free in the other two directions. We report
Bose-Einstein condensation (BEC) critical temperatures, chemical potential,
internal energy, specific heat, and entropy for different values of a
dimensionless impenetrability $Pgeqslant 0$ between layers. The BEC critical
temperature $T_{c}$ coincides with the ideal gas BEC critical temperature
$T_{0}$ when $P=0$ and rapidly goes to zero as $P$ increases to infinity for
any finite interlayer separation. The specific heat $C_{V}$ extit{vs} $T$ for
finite $P$ and plane separation $a$ exhibits one minimum and one or two maxima
in addition to the BEC, for temperatures larger than $T_{c}$ which highlights
the effects due to particle confinement. Then we discuss a distinctive
dimensional crossover of the system through the specific heat behavior driven
by the magnitude of $P$. For $T<T_{c}$ the crossover is revealed by the change
in the slope of $log C_{V}(T)$ and when $T>T_{c}$, it is evidenced by a broad
minimum in $C_{V}(T)$. | | Source: | arXiv, 1007.1458 | | Services: | Forum | Review | PDF | Favorites | |
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