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PreprintCC BY 4.0arXiv

Temperature dependence of the Casimir force between plane-layered structures: an approach based on the principle of argument

  • Michael V. Davidovich
Open at sourcePDFDOICite

Abstract

Based on the complex analysis theorem the principle of argument, a temperature-dependent formula for the Casimir-Lifshitz dispersion force of the interaction of two arbitrary plane-layered structures separated by either a vacuum gap of size d or a layer of size d consisting of an arbitrary dissipative dielectric with dispersion is derived. The formula consists of the temperature-dependent Lifshitz formula plus the temperature-dependent contour integral

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Cite

BibTeXRIS
BibTeX
@misc{davidovich2026temperature,
  title = {{Temperature dependence of the Casimir force between plane-layered structures: an approach based on the principle of argument}},
  author = {Michael V. Davidovich},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.23354},
  eprint = {2610.23354},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.23354},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Temperature dependence of the Casimir force between plane-layered structures: an approach based on the principle of argument
AU  - Michael V. Davidovich
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2610.23354
UR  - https://arxiv.org/abs/2610.23354
AB  - Based on the complex analysis theorem the principle of argument, a temperature-dependent formula for the Casimir-Lifshitz dispersion force of the interaction of two arbitrary plane-layered structures separated by either a vacuum gap of size d or a layer of size d consisting of an arbitrary dissipative dielectric with dispersion is derived. The formula consists of the temperature-dependent Lifshitz formula plus the temperature-dependent contour integral
ER  -