Kavli Affiliate: Biao Huang | Summary:We develop and analyze a class of matrix-valued spherical-convolution kernels stemming from scaled zonal functions on $mathbbS^2,$ the unit sphere embedded in $mathbbR^3$. The construct of these kernels utilizes the Legendre differential equation and requires less stringent regularity conditions on the original zonal kernels. The induced integral operators are simple […]

Kavli Affiliate: Biao Huang | Summary:In process operations, it is desirable to manage the sensitivity of the system output against external disturbance in the form of finite $mathcalL_2$-gain stabilization. This matter is, however, nonsensical for stochastic systems because the stochastic uncertainties in the control input almost always lead to an unbounded $mathcalL_2$ gain from the […]

Kavli Affiliate: Mamoru Matsuo | Summary:We extend ferromagnetic resonance (FMR) modulation theory to describe systems in which bulk and boundary states of topological materials coexist, with both appearing at the same energy. As an application of the formulation, we investigate the enhancement of the Gilbert damping constant on the $(110)$ surface of a $d$-wave superconductor […]

Kavli Affiliate: Rudolf Podgornik | Summary:We study the effect of asymmetry in solvent and ionic size on the equilibrium properties of multivalent ionic solutions near a charged surface. For a single ionic species in solution, we derive a generalized Grahame equation at the charged surface. For general size ratio between the ions and the solvent, […]

Kavli Affiliate: Mamoru Matsuo | Summary:We theoretically investigate the current-induced excitation of torsional vibrations in a suspended carbon nanotube (CNT) quantum dot. By considering a CNT clamped between half-metallic ferromagnetic electrodes with an antiparallel magnetization configuration, we demonstrate that the spin-rotation coupling enables the transfer of angular momentum from electron spins to the mechanical torsional […]