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Critical Temperature of Bose-Einstein Condensation of Hard Sphere Gases

Peter Grüter·David Ceperley·Franck Laloë
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Abstract

We determine the critical temperature of a 3-d homogeneous system of hard-sphere Bosons by path-integral Monte Carlo simulations and finite-size scaling. At low densities, we find that the critical temperature is increased by the repulsive interactions, in the form of a power law in density with exponent 1/3: $ΔT_C/T_0\sim (na^3)^{1/3}$. At high densities the result for liquid helium, namely a lower critical temperature than in the non-interacting case, is recovered. We give a microscopic explanation for the observed behavior.

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Peter Grüter, David Ceperley, Franck Laloë. 1997-07-11. Critical Temperature of Bose-Einstein Condensation of Hard Sphere Gases. https://doi.org/10.1103/physrevlett.79.3549

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