4.4 Article

The Casimir Interaction between Spheres Immersed in Electrolytes

期刊

UNIVERSE
卷 7, 期 5, 页码 -

出版社

MDPI
DOI: 10.3390/universe7050156

关键词

Casimir effect; electrolytes; sphere-sphere geometry; ionic screening; monopole fluctuations

资金

  1. Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq)
  2. Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior (CAPES)
  3. Instituto Nacional de Ciencia e Tecnologia Fluidos Complexos (INCT-FCx)
  4. Fundacao Carlos Chagas Filho de Amparo a Pesquisa do Estado do Rio de Janeiro (FAPERJ)
  5. Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP)

向作者/读者索取更多资源

In this study, we investigated the Casimir interaction between two dielectric spheres immersed in an electrolyte solution. Our results show that for very small spheres, contributions from monopole and dipole fluctuations provide the dominant Casimir energy. Additionally, the study also looked into the large sphere limit and the conditions for the validity of the proximity force approximation.
We investigate the Casimir interaction between two dielectric spheres immersed in an electrolyte solution. Since ionized solutions typically correspond to a plasma frequency much smaller than kBT/h at room temperature, only the contribution of the zeroth Matsubara frequency is affected by ionic screening. We follow the electrostatic fluctuational approach and derive the zero-frequency contribution from the linear Poisson-Boltzmann (Debye-Huckel) equation for the geometry of two spherical surfaces of arbitrary radii. We show that a contribution from monopole fluctuations, which is reminiscent of the Kirkwood-Shumaker interaction, arises from the exclusion of ionic charge in the volume occupied by the spheres. Alongside the contribution from dipole fluctuations, such monopolar term provides the leading-order Casimir energy for very small spheres. Finally, we also investigate the large sphere limit and the conditions for validity of the proximity force (Derjaguin) approximation. Altogether, our results represent the first step towards a full scattering approach to the screening of the Casimir interaction between spheres that takes into account the nonlocal response of the electrolyte solution.

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