Mathematical expressions for a system of two identical uniformly charged rods
Uniformly charged bodies with various symmetries are of great interest to many models in several disciplines. In particular, there are numerous physical and biological systems that contain rod-like charged particles. In this work, we consider a system of two identical uniformly charged rods and calculate their electrostatic interaction energy for a special case of orientation between them. A first approach that relies on standard integration methods allows us to obtain an exact analytic expression for such an interaction in this case. Application of a second different method to the same problem leads to mathematical expressions involving generalized hypergeometric functions, a class of special functions not frequently encountered in the field. Comparison of the two results leads to interesting mathematical identities that might be of interest to a broad audience of researchers working in mathematical and physical sciences.
Ciftja, O., Paredes, G., & Griffin, M. (2014). Mathematical expressions for a system of two identical uniformly charged rods. Retrieved from https://digitalcommons.pvamu.edu/chemistry-physics-facpubs/200