A Hamilton-Jacobi approach to non-slow-roll inflation

I describe a general approach to characterizing cosmological inflation outside the standard slow-roll approximation, based on the Hamilton-Jacobi formulation of scalar field dynamics. The basic idea is to view the equation of state of the scalar field matter as the fundamental dynamical variable, as opposed to the field value or the expansion rate. I discuss how to formulate the equations of motion for scalar and tensor fluctuations in situations where the assumption of slow roll is not valid. I apply the general results to the simple case of inflation from an ``inverted'' polynomial potential, and to the more complicated case of hybrid inflation.Comment: 21 pages, RevTeX (minor revisions to match published version

On a modular property of N=2 superconformal theories in four dimensions

In this note we discuss several properties of the Schur index of N=2 superconformal theories in four dimensions. In particular, we study modular properties of this index under SL(2,Z) transformations of its parameters.Comment: 23 page, 2 figure

New York Power Authority/New York City Housing Authority Refrigerator Replacement Program, First Program Year Evaluation. Final Report

Acting as an energy services provider, the New York Power Authority (NYPA) has initiated a long-term project through which 20,000 refrigerators per year will be replaced with the most energy-efficient units possible in apartments managed by the New York City Housing Authority (NYCHA). Using bulk purchasing as an incentive to appliance manufacturers to produce energy-efficient refrigerators suitable for use in apartments, replaced in the first year of the program, which ended in December 1996. These units, kWh per year. Savings were determined by field testing and laboratory testing of 220 existing refrigerators and 56 newly-installed units. In the next program year, a 15.0-cubic-foot Maytag refrigerator, newly-designed in response to bulk purchasing incentives, is being installed. The new unit has a label rating of 437 kWh per year, 31 percent better than 1993 energy standards. Old refrigerators removed from apartments are {open_quotes}demanufactured{close_quotes} in an environmentally-appropriate way and both metals and refrigerants are recovered for reuse

Investigation of shock waves in explosive blasts using fibre optic pressure sensors

The published version of this article may be accessed at the link below. Copyright @ IOP Publishing, 2006.We describe miniature all-optical pressure sensors, fabricated by wafer etching techniques, less than 1 mm(2) in overall cross-section with rise times in the mu s regime and pressure ranges typically 900 kPa (9 bar). Their performance is suitable for experimental studies of the pressure-time history for test models exposed to shocks initiated by an explosive charge. The small size and fast response of the sensors promises higher quality data than has been previously available from conventional electrical sensors, with potential improvements to numerical models of blast effects. Results from blast tests are presented in which up to six sensors were multiplexed, embedded within test models in a range of orientations relative to the shock front.Support from the UK Engineering&Physical Sciences Research Council and Dstl Fort Halstead through the MoD Joint Grants Scheme are acknowledged. WN MacPherson is supported by an EPSRC Advanced Research Fellowship

Ribbons on the CBR Sky: A Powerful Test of a Baryon Symmetric Universe

If the Universe consists of domains of matter and antimatter, annihilations at domain interfaces leave a distinctive imprint on the Cosmic Background Radiation (CBR) sky. The signature is anisotropies in the form of long, thin ribbons of width $\theta_W\sim 0.1^\circ$, separated by angle $\theta_L\simeq 1^\circ(L/100h^{-1}{Mpc})$ where L is the characteristic domain size, and y-distortion parameter $y \approx 10^{-6}$. Such a pattern could potentially be detected by the high-resolution CBR anisotropy experiments planned for the next decade, and such experiments may finally settle the question of whether or not our Hubble volume is baryon symmetric.Comment: LaTeX, 10 pages, 4 figures in epsf. Revised version corrects a couple of relevant mistake

Weatherization works: Final report of the National Weatherization Evaluation

In 1990, the U.S. Department of Energy (DOE) sponsored a comprehensive evaluation of its Weatherization Assistance Program, the nation`s largest residential energy conservation program. Oak Ridge National Laboratory (ORNL) managed the five-part study. This document summarizes the findings of the evaluation. Its conclusions are based mainly on data from the 1989 program year (supplemented by data from 1991-92). The evaluation concludes that the Program meets the objectives of its enabling legislation and fulfills its mission statement. Specifically, it (1) saves energy, (2) lowers fuel bills, and (3) improves the health and safety of dwellings occupied by low-income people. In addition, the Program achieves its mission in a cost-effective manner based on each of three perspectives employed by the evaluators. Finally, the evaluation estimates that the investments made in 1989 will, over a 20-year lifetime, save the equivalent of 12 million barrels of oil, roughly the amount of oil added to the Strategic Petroleum Reserve in each of the past several years

Weatherization works: Final report of the National Weatherization Evaluation

In 1990, the U.S. Department of Energy (DOE) sponsored a comprehensive evaluation of its Weatherization Assistance Program, the nation`s largest residential energy conservation program. Oak Ridge National Laboratory (ORNL) managed the five-part study. This document summarizes the findings of the evaluation. Its conclusions are based mainly on data from the 1989 program year (supplemented by data from 1991-92). The evaluation concludes that the Program meets the objectives of its enabling legislation and fulfills its mission statement. Specifically, it (1) saves energy, (2) lowers fuel bills, and (3) improves the health and safety of dwellings occupied by low-income people. In addition, the Program achieves its mission in a cost-effective manner based on each of three perspectives employed by the evaluators. Finally, the evaluation estimates that the investments made in 1989 will, over a 20-year lifetime, save the equivalent of 12 million barrels of oil, roughly the amount of oil added to the Strategic Petroleum Reserve in each of the past several years

Cascade Failure in a Phase Model of Power Grids

We propose a phase model to study cascade failure in power grids composed of generators and loads. If the power demand is below a critical value, the model system of power grids maintains the standard frequency by feedback control. On the other hand, if the power demand exceeds the critical value, an electric failure occurs via step out (loss of synchronization) or voltage collapse. The two failures are incorporated as two removal rules of generator nodes and load nodes. We perform direct numerical simulation of the phase model on a scale-free network and compare the results with a mean-field approximation.Comment: 7 pages, 2 figure

Evolution of Second-Order Cosmological Perturbations and Non-Gaussianity

We present a second-order gauge-invariant formalism to study the evolution of curvature perturbations in a Friedmann-Robertson-Walker universe filled by multiple interacting fluids. We apply such a general formalism to describe the evolution of the second-order curvature perturbations in the standard one-single field inflation, in the curvaton and in the inhomogeneous reheating scenarios for the generation of the cosmological perturbations. Moreover, we provide the exact expression for the second-order temperature anisotropies on large scales, including second-order gravitational effects and extend the well-known formula for the Sachs-Wolfe effect at linear order. Our findings clarify what is the exact non-linearity parameter f_NL entering in the determination of higher-order statistics such as the bispectrum of Cosmic Microwave Background temperature anisotropies. Finally, we compute the level of non-Gaussianity in each scenario for the creation of cosmological perturbations.Comment: 14 pages, LaTeX file. Further comments adde