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Spherical layer charge distribution and multipole expansion

  1. Mar 28, 2007 #1

    I have a random spherical distribution of N charges between radiuses
    R1 and R2. N is up to 10^9 or more.I want to calculate the
    electrostatic potential closed to the origin of the sphere. R1 and R2
    are much bigger than the distance of this point to the origin. So I
    thought about using the multipole expansion to calculate the
    potential, because it is supposed to reduce the Tcpu a lot, mainly
    because in this approach Tcpu proportional to N, and in explicit
    electrostatical potential calculation Tcpu proportional to N^2. So,
    could you recommendme references in good books or papers or weblinks
    with examples of similar calculations ?

  2. jcsd
  3. Dec 16, 2011 #2
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