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arXiv · 0904.1134

Finite Size Effects in Equations of State under non-trivial Boundary Conditions

Nobuhiro Yonezawa
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Abstract

We study free particles in a one-dimensional box with combinations of two types of boundary conditions: the Dirichlet condition and a one-parameter family of quasi-Neumann conditions at the two walls. We calculate energy spectra approximately and obtain equations of state having the same (one-dimensional) volume dependence as van der Waals equations of state. The dependence of the equations of state is examined for particles obeying Maxwell-Boltzmann, Bose-Einstein, or Fermi-Dirac statistics. Our results suggest that the deviation from ideal gas may also be realized as finite size effects due to the interaction between the particles and the walls.

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Nobuhiro Yonezawa. 2009-12-08. Finite Size Effects in Equations of State under non-trivial Boundary Conditions. https://doi.org/10.1143/ptp.123.35

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