Finite Size Effects in Equations of State under Nontrivial Boundary Conditions(General and Mathamatical Physics)

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概要

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• 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 approximately calculate energy spectra 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 owing to the interaction between the particles and walls.

• 2010-01-25

著者

• YONEZAWA Nobuhiro

  Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK)

関連論文

• Finite Size Effects in Equations of State under Nontrivial Boundary Conditions(General and Mathamatical Physics)

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