Abstract

The knowledge of the net charge of conducting spheres has gained much interest in the context of high power laser interaction with clusters, dust, impurities, aerosols, and small liquid droplets. Contrary to a general supposition based on linearized plasma quasineutrality it is shown that in electronic thermal equilibrium spheres of one Debye length radius lose almost all free electrons, hence are highly charged. Quasineutrality is approximately reached for pellet sizes R exceeding 30 times the Debye length. In order to gain an estimate of the net charge of nonspherical particles the equilibrium charge is determined in slab geometry for the same parameters.

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