# Variance of the Casimir force in an ideal Bose gas

@article{Napirkowski2022VarianceOT, 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}, year={2022}, volume={2022} }

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…

## 2 Citations

### Effective binding potential from Casimir interactions: the case of the Bose gas

- Physics
- 2022

We consider the thermal Casimir eﬀect in ideal Bose gases, where the dispersion relation involves both terms quadratic and quartic in momentum. We demonstrate that if macroscopic objects are immersed…

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