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…
A Fluid Analog Model for Boundary Effects in Field Theory
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abstract
Quantum fluctuations in the density of a fluid with a linear phonon dispersion relation are studied. In particular, we treat the changes in these fluctuations due to non-classical states of phonons and to the presence of boundaries. These effects are analogous to similar effects in relativistic quantum field theory, and we argue that the case of the fluid is a useful analog model for effects in field theory. We further argue that the changes in the mean squared density are in principle observable by light scattering experiments.
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2025 1verdicts
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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…