We derive an expression for the mean square displacement of a particle whose motion is governed by a uniform, periodic, quantum multi-baker map. The expression is a function of both time, t, and Planck’s constant, ~, and allows a study of both the long time, t → ∞, and semi-classical, ~ → 0, limits taken in either order. We evaluate the expression using random matrix theory as well as numerical...

We investigate a class of reaction processes in which particles move ballistically and react upon colliding. We show that correlations between velocities of colliding particles play a crucial role in the long time behavior. In the reaction-controlled limit when particles undergo mostly elastic collisions and therefore are always near equilibrium, the correlations are accounted analytically. For...

Future MOS transistors may operate near their ballistic limits [1], so it is important to understand ballistic device physics and the prospects for achieving quasi-ballistic operation. In this paper, we explore the device design and physics issues of MOSFETs at the scaling limits using semiclassical and full quantum simulations. The device we presume is a double-gate (DG) MOSFET with symmetrica...

In an earlier study, presented at the 3 rd EUCASS [1], an innovative guidance strategy was outlined by integrating the design of a multiple model adaptive estimator and a differential game based guidance law. Such strategy indicated two potential breakthroughs in the interception of randomly maneuvering targets in Ballistic Missile Defense. Further studies indicated that while the differential ...

We measure electronic transport through point contacts in the high-mobility electron gas a Ga[Al]As heterostructure at different temperatures and bulk densities. The conductance all increases with increasing temperature window around $T \sim 10 K$ for investigated densities contact widths. For high this exceeds fundamental ballistic limit (Sharvin limit). These observations are agreement viscou...

We treat a quantum walk (QW) on the line whose quantum coin at each vertex tends to be the identity as the distance goes to infinity. We obtain a limit theorem that this QW exhibits localization with not an exponential but a “power-law” decay around the origin and a “strongly” ballistic spreading called bottom localization in this paper. This limit theorem implies the weak convergence with line...