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Paper   IPM / Physic / 12025
School of Physics
  Title:   A Closed form for the Electrostatic Interaction between Two Rod-Like Charged Objects
  Author(s): 
1.  M. Askari
2.  J. Abouie
  Status:   Published
  Journal: J. Physics: Condens. Matter
  Vol.:  23
  Year:  2011
  Pages:   155103(6pp)
  Supported by:  IPM
  Abstract:
We have calculated the electrostatic interaction between two rod-like charged objects with arbitrary orientations in three dimensions. We obtained a closed-form formula expressing the interaction energy in terms of the separation distance between the centers of the two rod-like objects, r, their lengths (denoted by2[(l)/]1 and 2[(l)/]2) and their relative orientations (indicated by θ and ϕ). When the objects have the same length (2[(l)/]1 = 2[(l)/]2 = l), for particular values of separations, i.e. for r \preceq 0.8l, two types of minimum appear in the interaction energy with respect to θ. By employing the closed-form formula and introducing a scaled temperature t, we have also studied the thermodynamic properties of a 1D system of rod-like charged objects. For different separation distances, the dependence of the specific heat of the system to the scaled temperature has been studied. It is found that, for r < 0.8l, the specific heat has a maximum.

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