This paper derives exact finite-temperature expressions for density fluctuations, energy, free energy, and entropy of a phonon field confined between parallel plates with Dirichlet, Neumann, and mixed boundary conditions, and shows the density fluctuation needs an explicit h-bar to zero limit to…
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Boundary effects in classical liquid density fluctuations at finite temperature
This paper derives exact finite-temperature expressions for density fluctuations, energy, free energy, and entropy of a phonon field confined between parallel plates with Dirichlet, Neumann, and mixed boundary conditions, and shows the density fluctuation needs an explicit h-bar to zero limit to…