Free energy and entropy for thin sheets

Abstract

We calculate the entropy and the temperature dependent part of the free energy for a free standing plane plasma sheet and for the a free standing plane slab of finite thickness with dispersion described by the plasma model. In case the plasma sheet describes a charged fluid, the entropy is positive. In case it describes a polarizable dipole sheet, the entropy takes negative values in a certain parameter region. Negative entropy is also observed for the slab, however with the reservation that the contribution from the surface plasmons was not accounted for.

20 pages, 5 figures

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Cited by in corpus (8)

• Remarks on the Casimir Self-Entropy of a Spherical Electromagnetic $\delta$-Function Shell
• Thermal Casimir effect with general boundary conditions
• Free energy and entropy for finite temperature quantum field theory under the influence of periodic backgrounds
• Casimir free energy for massive fermions: a comparative study of various approaches
• Negativity of the Casimir self-entropy in spherical geometries
• Casimir Energy in (2 + 1)-Dimensional Field Theories
• Casimir Self-Entropy of Nanoparticles with Classical Polarizabilities: Electromagnetic Field Fluctuations
• Entropy in some simple one-dimensional configurations