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Related Experiment Videos

Field inside a random distribution of parallel dipoles.

Janus H Wesenberg1, Klaus Mølmer

  • 1QUANTOP, Danish Research Foundation Center for Quantum Optics, Department of Physics and Astronomy, University of Aarhus, Denmark.

Physical Review Letters
|November 5, 2004
PubMed
Summary

This study analyzes electric and magnetic dipole fields, revealing a Levy stable distribution at the center of parallel dipoles. Excluding a small volume shifts the field distribution, impacting its mean value.

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Area of Science:

  • Physics
  • Electromagnetism
  • Statistical Mechanics

Background:

  • Understanding the behavior of fields generated by random dipole distributions is crucial in various physics applications.
  • Previous studies often simplified dipole arrangements or focused on average field properties.

Purpose of the Study:

  • To determine the probability distribution of the electric or magnetic field within a random distribution of dipoles.
  • To investigate the influence of dipole arrangement and excluded volume on the field distribution.

Main Methods:

  • Analytical determination of probability distributions for internal fields.
  • Analysis of contributions from spherical shells and excluded volumes.
  • Investigation of Levy stable distributions and their properties.

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Main Results:

  • The field distribution inside a random dipole distribution follows a Levy stable distribution.
  • At the center of a spherical distribution of parallel dipoles, the field distribution is symmetric around a non-vanishing amplitude.
  • Excluding a small volume around the probe results in a field distribution with a vanishing mean.

Conclusions:

  • The probability distribution of fields in random dipole systems exhibits complex behavior governed by Levy stable distributions.
  • The spatial arrangement and exclusion of volume significantly alter the field's statistical properties.
  • The findings have implications for understanding field fluctuations in disordered magnetic and electric systems.