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Paper IPM / Physic / 12025 |
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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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