Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-03-10
J. Phys. A: Math. Gen. 39 (2006) 2563-2571
Physics
Condensed Matter
Statistical Mechanics
8 pages
Scientific paper
10.1088/0305-4470/39/11/003
In this paper, we show that there exists an essential difference of boundary effects between Bose and Fermi systems both for Dirichlet and Neumann boundary conditions: at low temperatures and high densities the influence of the boundary on the Bose system depends on the temperature but is independent of the density, but for the Fermi case the influence of the boundary is independent of the temperature but depends on the density, after omitting the negligible high-order corrections. We also show that at high temperatures and low densities the difference of the influence of the boundary between Bose and Fermi systems appears in the next-to-leading order boundary contribution, and the leading boundary contribution is independent of the density. Moreover, for calculating the boundary effects at high temperatures and low densities, since the existence of the boundary modification causes the standard virial expansion to be invalid, we introduce a modified virial expansion.
Dai Wu-Sheng
Pang Hai
Xie Mi
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