English

Critical Casimir force in the superfluid phase: effect of fluctuations

Statistical Mechanics 2010-07-13 v5

Abstract

We have considered the critical Casimir force on a 4^4He film below and above the bulk λ\lambda point. We have explored the role of fluctuations around the mean field theory in a perturbative manner, and have substantially improved the mean field result of Zandi et al [Phys. Rev. E {\bf 76}, 030601(R) (2007)]. The Casimir scaling function obtained by us approaches a universal constant (ζ(3)8π-\frac{\zeta(3)}{8\pi}) for T2.13 KT\lesssim 2.13~\text{K}.

Keywords

Cite

@article{arxiv.0808.0390,
  title  = {Critical Casimir force in the superfluid phase: effect of fluctuations},
  author = {Shyamal Biswas and J. K. Bhattacharjee and Himadri S. Samanta and Saugata Bhattacharyya and Bambi Hu},
  journal= {arXiv preprint arXiv:0808.0390},
  year   = {2010}
}

Comments

The term $\frac{1}{4b}\xi_0^4k_BT_\lambda$ at the Fig.2-caption in the published version should be read as $\frac{1}{4b\xi_0^4k_BT_\lambda}$