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We investigate the interaction of ocean vortex patches with boundaries via the elliptic moment model of Melander, Zabusky & Stysek [13], under which vortex patches are approximated as elliptic regions of uniform vorticity. The interaction with a straight boundary is shown to reduce to the problem of an ellipse in constant strain, as previously investigated by Kida [9]. Interactions with more co...

We construct Ionel-Parker’s proposed refinement of the standard relative Gromov-Witten invariants in terms of abelian covers of the symplectic divisor and discuss in what sense it gives rise to invariants. We use it to obtain some vanishing results for the standard relative GromovWitten invariants. In a separate paper, we describe to what extent this refinement sharpens the usual symplectic sum...

in this paper, free convection in an inclined stepped chamber has been studied. one wall of this enclosure is kept cold and the opposite wall equipped with constant heat source. the remaining walls are maintained adiabatic. there is one adiabatic step on the bottom wall. the aim of the present study is to forecast the effect of raleigh number, slope of enclosure, step dimension, and heat source...

A semiclassical connection IS established between quantal and classical properties of a system whose Hamiltonian is slowly cycled by varying its parameters round a circuit. The quantal property is a geometrical phase shift y,, associated with an eigenstate with quantum numbers n = {n,}: the classical property is a shift A@,(I) in the Ith angle variable for motion round a phase-space torus with ...

This paper introduces an adiabatic register file based on two-phase CPAL (Complementary Pass-Transistor Adiabatic Logic circuits) with power-gating scheme, which can operate on a single-phase power clock. A 32×32 single-phase adiabatic register file with power-gating scheme has been implemented with TSMC 0.18μm CMOS technology. All the circuits except for the storage cells employ two-phase CPAL...

Low power and robust circuitry are permanent hotspots in VLSI design. Adiabatic logic is one of potential breakthroughs for these goals. Especially, designing reliable clock tree is very significant for adiabatic logic due to four-phase clocked power required for pipelined data transmission in adiabatic system. In this paper, we present analysis of charging speed and clock types that influence ...

It is believed so far that the high harmonic generation (HHG) signal of adiabatically aligned molecules does not show any revival structure. This paper demonstrates the existence of revival structure of HHG signals of molecular ensemble aligned by using adiabatic as well as switched-off schema. The results are presented in the externally available control parameters – the delay-time, d t , betw...

We calculate median adiabatic times (in seconds) of a specific superconducting adiabatic quantum processor for an NP-hard Ising spin glass instance class with up to N = 128 binary variables. To do so, we ran high performance Quantum Monte Carlo simulations on a large-scale Internet-based computing platform. We compare the median adiabatic times with the median running times of two classical sol...

A novel method for calculation of the motion and radiation reaction for the two-body problem (body plus particle, the small parameter m/M being the ratio of the masses) is presented. In the background curvature given by the Schwarzschild geometry rippled by gravita-tional waves, the geodesic equations insure the presence of radiation reaction also for high velocities and strong field. The metho...