We consider the adiabatic regime of two parameters evolution semigroups generated by linear operators that are analytic in time and satisfy the following gap condition for all times: the spectrum of the generator consists in finitely many isolated eigenvalues of finite algebraic multiplicity, away from the rest of the spectrum. The restriction of the generator to the spectral subspace correspon...

Holes and clumps, spontaneously formed in the nonlinear development of a single mode driven by a weakly destabilizing kinetic distribution function in a dissipative medium, were expected to persist for an appropriate collisional time scale. However, Fokker-Planck calculations for the nonlinear system abruptly break down in the course of the calculation for some initial conditions. We nd that th...

Large-eddy simulations are performed to analyze film cooling in supersonic combustion ramjets (Scramjets). The transonic film cooling flow is injected through a slot parallel to a Ma = 2.44 main stream with a fully turbulent boundary layer. The injection Mach number is Mai = 1.2 and adiabatic wall conditions are imposed. The cooling effectiveness is investigated for adverse and favorable pressu...

The power consumption and delay optimization has been the main concerns for the VLSI technology. In this project we propose a new adiabatic technique using diode connected transistors. This technique emphasizes on reduction of power by lowering the non-recoverable power consumption in adiabatic circuits. This technique achieves full adiabatic operation by providing separate charging and dischar...

The power consumption of the electronic devices can be reduced by adopting different design styles. Adiabatic logic style is said to be an attractive solution for such low power electronic applications. This paper presents an energy efficient technique for binary to EX-3 code converter that uses adiabatic logic. The proposed technique has less power dissipation when compared to the conventional...

The problem Hamiltonian of the adiabatic quantum algorithm for the maximum-weight independent set problem (MIS) that is based on the reduction to the Ising problem (as described in [6]) has flexible parameters. We show that by choosing the parameters appropriately in the problem Hamiltonian (without changing the problem to be solved) for MIS on CK graphs [7], we can prevent the first order quan...

The most general initial conditions of CMB anisotropies, compatible with the presence of pre-equality magnetic fields, are derived. When the plasma is composed by photons, baryons, electrons, CDM particles and neutrinos, the initial data of the truncated Einstein-Boltzmann hierarchy contemplate one magnetized adiabatic mode and four (magnetized) non-adiabatic modes. After obtaining the analytic...

A self-similar model for one-dimensional unsteady isothermal and adiabatic flows behind a strong exponential shock wave driven out by a cylindrical piston moving with time according to an exponential law in an ideal gas in the presence of azimuthal magnetic field and variable density is discussed in a rotating atmosphere. The ambient medium is assumed to possess radial, axial and azimuthal comp...

We examine the effects of frequency variation along the reaction path in intramolecular or lattice modes on the rate constant for light atom transfer in the condensed phase. Accurate quantum mechanical calculations using the quasi-adiabatic propagator path integral representation of the flux–flux auto-correlation function reveal significant variations in the reaction rate compared with the cons...

In the design of low-power circuits, adiabatic logic shows great promise. However, research till date have concentrated on adiabatic logic circuits/families. Today's VLSlsystems integrate random logic, megamodules and memories. Hence, the success of adiabatic circuits will depend on the efficient implementation of not only random logic, but also the other components of a VLSI system. In this pa...