Charge and force on a conductive sphere between two parallel electrodes: A Stokesian dynamics approach

• Published in: Journal of applied physics Vol. 116; no. 7
• Main Authors: Drews, Aaron M., Kowalik, Mikolaj, Bishop, Kyle J. M.
• Format: Journal Article
• Language: English
• Published: Melville American Institute of Physics 21.08.2014; American Institute of Physics (AIP)
• Subjects: Applied physics; Capacitance; catalysis (homogeneous), solar (photovoltaic), bio-inspired, charge transport, mesostructured materials, materials and chemistry by design, synthesis (novel materials), synthesis (self-assembly); Computer simulation; Dipole moments; Electrodes; Electrostatic charge; Finite element method; Free energy; Many body problem; Mathematical analysis; Mathematical models; Particle trajectories; Tensors

We present an accurate and efficient method to compute the electrostatic charge and force on a conductive sphere between two parallel electrodes. The method relies on a Stokesian dynamics-like approach, in which the capacitance tensor is divided into two contributions: (1) a far field contribution t...