id: 06068742 dt: a an: 06068742 au: Gaafar, Mahmoud; Shukrinov, Yury; El Samman, Hussein; Maize, Sanaa ti: Simulation of Shapiro steps in current-voltage characteristics of intrinsic Josephson junctions in high temperature superconductors. so: Adam, Gheorghe (ed.) et al., Mathematical modeling and computational science. International conference, MMCP 2011, Stará Lesná, Slovakia, July 4‒8, 2011. Revised selected papers. Berlin: Springer (ISBN 978-3-642-28211-9/pbk). Lecture Notes in Computer Science 7125, 221-226 (2012). py: 2012 pu: Berlin: Springer la: EN cc: ut: microwave irradiation; Shapiro steps; Josephson junctions ci: li: doi:10.1007/978-3-642-28212-6_24 ab: Summary: The phase dynamics of intrinsic Josephson junctions (IJJ) in high temperature superconductors is investigated. We calculate numerically the current-voltage characteristics (CVC) of IJJ in the framework of the capacitively coupled Josephson junctions model with diffusion current. The effect of electromagnetic irradiation on the CVC of coupled Josephson junctions is demonstrated. Variation of the Shapiro steps and of the critical current with the radiation amplitude is systematically studied for a single junction. These results are generalized for a stack of coupled Josephson junctions. The effects of coupling between junctions on the Shapiro steps in the CVC and on the electric charge oscillations in the superconducting layers at the parametric resonance are shown. rv: