Abstract
In this work, the thermal properties, such as total energy, pressure and free energy of an interacting electron gas system have been investigated. The Thomas–Fermi equation was numerically solved for a harmonically confined, two-dimensional gas system at finite temperatures. Numerical results were compared with analytical ones provided by the literature for a non-interacting case at finite temperatures and for a interacting case at T = 0 K . Excellent agreement was achieved for both cases. The results indicate that interactions affect the density of particles and hence, the density-dependent thermal functions significantly.
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