Critical Temperature of Bose-Einstein Condensation of Hard-Sphere Gases

Journal Article · Sat Nov 01 00:00:00 EST 1997 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.79.3549· OSTI ID:544995

Grueter, P; Ceperley, D ^[1]; Laloee, F ^[2]

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1. Department of Physics, University of Illinois, 1110 West Green Street, Urbana, Illinois 61801 (United States)
2. Laboratoire Kastler Brossel, Ecole Normale Superieure, 24 rue Lhomond, F-75005 Paris (France)

We determine the critical temperature of a 3D homogeneous system of hard-sphere bosons by path-integral Monte Carlo simulations and finite-size scaling. In the low density limit, we find that the critical temperature is increased by the repulsive interactions, as {Delta}T{sub C}/T{sub 0}{approximately}(na{sup 3} ){sup {gamma}} , where {gamma}=0.34{plus_minus}0.03 . At high densities the result for liquid helium, namely, a lower critical temperature than in the noninteracting case, is recovered. We give a microscopic explanation for the observed behavior. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 544995
• Journal Information: Physical Review Letters, Vol. 79, Issue 19; Other Information: PBD: Nov 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOSE-EINSTEIN CONDENSATION
CRITICAL TEMPERATURE
HARD-SPHERE MODEL
GASES
BOSONS
FEYNMAN PATH INTEGRAL
MONTE CARLO METHOD
SIMULATION
DENSITY
RENORMALIZATION