Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Casimir Interaction between a plate and a cylinder.

T Emig1, R L Jaffe, M Kardar

  • 1Institut für Theoretische Physik, Universität zu Köln, Zülpicher Strasse 77, 50937 Köln, Germany.

Physical Review Letters
|April 12, 2006
PubMed
Summary

We calculated the exact Casimir force for a plate-cylinder geometry. The force shows a surprisingly weak decay at large distances due to magnetic modes, differing from parallel plate and sphere cases.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Distinct critical behaviors from the same state in quantum spin and population dynamics perspectives.

Physical review. E·2021
Same author

Bayesian Machine Learning Approach to the Quantification of Uncertainties on Ab Initio Potential Energy Surfaces.

The journal of physical chemistry. A·2020
Same author

Role of City Texture in Urban Heat Islands at Nighttime.

Physical review letters·2018
Same author

Construction of a coarse-grain quasi-classical trajectory method. I. Theory and application to N<sub>2</sub>-N<sub>2</sub> system.

The Journal of chemical physics·2018
Same author

Optimal paths on the road network as directed polymers.

Physical review. E·2018
Same author

Ergodic and localized regions in quantum spin glasses on the Bethe lattice.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2017

Area of Science:

  • Condensed matter physics
  • Quantum field theory

Background:

  • The Casimir effect describes a physical force acting between two uncharged conductive bodies in a vacuum.
  • Exact solutions for the Casimir force are known for parallel plates and spheres at large separations.

Purpose of the Study:

  • To determine the exact Casimir force for a plate-cylinder geometry.
  • To investigate the force's behavior at large separations and understand the underlying physical mechanisms.

Main Methods:

  • Utilizing path integral quantization.
  • Employing a partial wave expansion for mode analysis.

Main Results:

  • Derived the exact Casimir force for the plate-cylinder configuration.
  • Identified an unexpectedly weak force decay, approximately L/[H^3 ln(H/R)], at large separations (H) due to transverse magnetic modes.

Related Experiment Videos

  • Observed qualitative differences in the density of states for electric and magnetic modes.

    • Conclusions:

    • The plate-cylinder Casimir force exhibits unique behavior compared to parallel plates and spheres.
    • Transverse magnetic modes significantly influence the force's distance dependence.
    • The methods used also provide insights into finite temperature corrections.