Two-dimensional Quantum Gas Research Articles

Two-Dimensional Quantum Gas

Identical impenetrable particles in a 2-dimensional configuration space obey braid statistics, intermediate between bosons and fermions. This statistics, based on braid groups, is introduced as a generalization of the usual statistics founded on the symmetric groups. The main properties of an ideal gas of such particles are presented. They do interpolate the properties of bosons and fermions but include classical particles as a special case. Restriction to 2 dimensions precludes lambda points but originates a peculiar symmetry, responsible in particular for the identity of boson and fermion specific heats.

Specific heat of two-dimensional ideal quantum gases

Specific heat of two-dimensional ideal quantum gases

Second virial coefficient of adsorbed para-hydrogen

The second virial coefficient of two-dimensional systems of para-hydrogen are calculated under the assumption that the interaction between molecules is given by the Lennard-Jones 6–12 potential. An estimate of the critical temperature for a liquid-gas transition is obtained by fitting the calculated virial coefficient to a van der Waals form. The results of the analysis indicate that the increase of the specific heat of parahydrogen with decreasing temperature observed by Bretz and Chung is the behavior expected from a nonideal two-dimensional quantum gas. Further, the peaks in the specific heat indicate a liquid-gas transition.