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• W2086977625 abstract "We obtain the thermodynamic properties for a noninteracting 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 $Pensuremath{geqslant}0$ 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 ${C}_{V}$ as a function of absolute temperature $T$ for finite $P$ and plane separation $a$ exhibits one minimum and one or two maxima in addition to the BEC, for temperatures larger than that of BEC ${T}_{c}$. This highlights the effects due to particle confinement. We then 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 a change in slope of $mathrm{log}{C}_{V}(T)$ and when $T>{T}_{c}$, it is exhibited by a broad minimum in ${C}_{V}(T)$." @default.
• W2086977625 created "2016-06-24" @default.
• W2086977625 creator A5009544171 @default.
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• W2086977625 date "2010-09-30" @default.
• W2086977625 modified "2023-10-17" @default.
• W2086977625 title "Dimensional crossover of a boson gas in multilayers" @default.
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• W2086977625 doi "https://doi.org/10.1103/physreva.82.033632" @default.
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