Variance of the Casimir force in an ideal Bose gas

  title={Variance of the Casimir force in an ideal Bose gas},
  author={M. Napi{\'o}rkowski and Marcin Pruszczyk},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
We consider an ideal Bose gas enclosed in a d-dimensional slab of thickness D. Using the grand canonical ensemble we calculate the variance of the thermal Casimir force acting on the slab’s walls. The variance evaluated per unit wall area is shown to decay like Δvar/D for large D. The amplitude Δvar is a non-universal function of two scaling variables λ/ξ and D/ξ, where λ is the thermal de Broglie wavelength and ξ is the bulk correlation length. It can be expressed via the bulk pressure, the… 
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