– The dynamics of many continuous degrees of freedom interacting via a random potential and subject to a global spherical constraint is investigated. The model is a prototype mean-field model for structural glasses near the glass transition. In the high temperature phase the model is described by equations similar to those of the Schematic Mode Coupling Theory for structural glasses. The analys...

By modeling synthetic Pn amplitudes in 2007, my colleagues and I proposed a Pn geometric-spreading model (Y2007) that takes into account the spherical shape of the Earth. In this study, we used a set of observed Pn amplitudes from the tectonically active regions of Asia to evaluate the performance of Y2007 and to develop new, observation-based Pn spreading models. Even though Y2007 provides imp...

based on dynamic modeling, robust trajectory tracking control of attitude and position of a spherical mobile robot is proposed. in this paper, the spherical robot is composed of a spherical shell and three independent rotors which act as the inner driver mechanism. owing to rolling without slipping assumption, the robot is subjected to two nonholonomic constraints. the state space representatio...

We study the thermally activated oscillations, or capillary waves, of a neutral metal cluster within the liquid drop model. These deformations correspond to a surface roughness which we characterize by a single parameter ∆. We derive a simple analytic expression determining ∆ as a function of temperature and cluster size. We then estimate the induced effects on shell structure by means of a per...