Regenerative fuel cell combines high efficiency with low cost

Hydrogen/oxygen regenerative fuel cell stores electrical energy efficiently and inexpensively. The fuel cell has a high energy-to-weight ratio, and is adapted for a large number of cycles with deep discharge

Depreciation, Deterioration and Obsolescence when there is Embodied or Disembodied Technical Change

The paper considers how to measure capital in a model where technical progress is either embodied in new units of capital or it is "disembodied" and simply causes the price of capital services to fall. The disembodied case is considered in sections 2-4. Sections 2 and 3 set out standard vintage capital aggregation models when there is no embodied technical progress. Section 4 discusses disembodied obsolescence in more detail. Section 5 introduces new (more efficient) models of the capital good so that technical progress is embodied in the new models. Section 6 shows how the parameters in the Jorgenson model of capital services could be estimated by statistical agencies if their investment surveys covered sales and retirements of used assets as well as purchases of new assets. Section 7 concludes.Aggregation of Capital, embodiment of technical progress, depreciation, deterioration, obsolescence, index number theory

Sub-ballistic growth of R\'enyi entropies due to diffusion

We investigate the dynamics of quantum entanglement after a global quench and uncover a qualitative difference between the behavior of the von Neumann entropy and higher R\'enyi entropies. We argue that the latter generically grow \emph{sub-ballistically}, as $\propto\sqrt{t}$, in systems with diffusive transport. We provide strong evidence for this in both a U$(1)$ symmetric random circuit model and in a paradigmatic non-integrable spin chain, where energy is the sole conserved quantity. We interpret our results as a consequence of local quantum fluctuations in conserved densities, whose behavior is controlled by diffusion, and use the random circuit model to derive an effective description. We also discuss the late-time behavior of the second R\'enyi entropy and show that it exhibits hydrodynamic tails with \emph{three distinct power laws} occurring for different classes of initial states.Comment: close to published version: 4 + epsilon pages, 3 figures + supplemen

Diffusive hydrodynamics of out-of-time-ordered correlators with charge conservation

The scrambling of quantum information in closed many-body systems, as measured by out-of-time-ordered correlation functions (OTOCs), has lately received considerable attention. Recently, a hydrodynamical description of OTOCs has emerged from considering random local circuits, aspects of which are conjectured to be universal to ergodic many-body systems, even without randomness. Here we extend this approach to systems with locally conserved quantities (e.g., energy). We do this by considering local random unitary circuits with a conserved U$(1)$ charge and argue, with numerical and analytical evidence, that the presence of a conservation law slows relaxation in both time ordered {\textit{and}} out-of-time-ordered correlation functions, both can have a diffusively relaxing component or "hydrodynamic tail" at late times. We verify the presence of such tails also in a deterministic, peridocially driven system. We show that for OTOCs, the combination of diffusive and ballistic components leads to a wave front with a specific, asymmetric shape, decaying as a power law behind the front. These results also explain existing numerical investigations in non-noisy ergodic systems with energy conservation. Moreover, we consider OTOCs in Gibbs states, parametrized by a chemical potential $\mu$, and apply perturbative arguments to show that for $\mu\gg 1$ the ballistic front of information-spreading can only develop at times exponentially large in $\mu$ -- with the information traveling diffusively at earlier times. We also develop a new formalism for describing OTOCs and operator spreading, which allows us to interpret the saturation of OTOCs as a form of thermalization on the Hilbert space of operators.Comment: Close to published version: 17 + 9.5 pages. Improved presentation. Contains new section on clean Floquet spin chain. New and/or improved numerical data in Figures 4-7, 11, 1

Controlling crippled aircraft-with throttles

A multiengine crippled aircraft, with most or all of the flight control system inoperative, may use engine thrust for control. A study was conducted of the capability and techniques for emergency flight control. Included were light twin engine piston powered airplanes, an executive jet transport, commercial jet transports, and a high performance fighter. Piloted simulations of the B-720, B-747, B-727, MD-11, C-402, and F-15 airplanes were studied, and the Lear 24, PA-30, and F-15 airplanes were flight tested. All aircraft showed some control capability with throttles and could be kept under control in up-and-away flight for an extended period of time. Using piloted simulators, landings with manual throttles-only control were extremely difficult. However, there are techniques that improve the chances of making a survivable landing. In addition, augmented control systems provide major improvements in control capability and make repeatable landings possible. Control capabilities and techniques are discussed

Energy, Obsolescence, and the Productivity Slowdown

The growth rate of output per worker in the U.S. declined sharply during the 1970's. A leading explanation of this phenomenon holds that the dramatic rise in energy prices during the 1970's caused a significant portion of the U.S. capital stock to become obsolete. This led to a decline in effective capital input which, in turn, caused a reduction in the reduction in the growth rate of output per worker. This paper examines a key prediction of this hypothesis. If there is a significant link between energy and capital obsolescence, it should be revealed in the market price of used capital: if rising energy costs did in fact render older, energy-inefficient capital obsolete, prospective buyers should have reduced the price that they were willing to pay for that capital. An examination of the market for used capital before and after the energy price shocks should thus reveal the presence and magnitude of the obsolescence effect. We have carried out this examination for four types of used machine tools and five types of construction equipment. We did not find a general reduction in the price of used equipment after the energy price shocks. Indeed, the price of used construction equipment - the more energy intensive of our two types of capital - tended to increase after 1973. We thus conclude that our data do not support the obsolescence explanation of the productivity of slowdown.

Elements of Proximal Formative Assessment in Learners’ Discourse about Energy

Proximal formative assessment, the just-in-time elicitation of students\u27 ideas that informs ongoing instruction, is usually associated with the instructor in a formal classroom setting. However, the elicitation, assessment, and subsequent instruction that characterize proximal formative assessment are also seen in discourse among peers. We present a case in which secondary teachers in a professional development course at SPU are discussing energy flow in refrigerators. In this episode, a peer is invited to share her thinking (elicitation). Her idea that refrigerators move heat from a relatively cold compartment to a hotter environment is inappropriately judged as incorrect (assessment). The instruction (peer explanation) that follows is based on the second law of thermodynamics, and acts as corrective rather than collaborative

A Model of Comprehensive Unification

Comprehensive - that is, gauge and family - unification using spinors has many attractive features, but it has been challenged to explain chirality. Here, by combining an orbifold construction with more traditional ideas, we address that difficulty. Our candidate model features three chiral families and leads to an acceptable result for quantitative unification of couplings. A potential target for accelerator and astronomical searches emerges.Comment: 5 pages, 2 figures. Published versio

Preliminary Report on a Stratified Late Archaic-Woodland Era Rockshelter in Rogers County, Oklahoma

In northeastern Oklahoma, very little is known about the transition from the Late Archaic to the Woodland period (Wyckoff and Brooks, 1983: 55). To date, most of the archeological evidence documenting this time period has been derived from sites with mixed or otherwise uncertain components. In this report, we present a preliminary description of a small rockshelter, 34RO252, which has a Late Archaic deposit stratigraphically below a Woodland era cultural deposit. These two deposits are unmixed, discrete, and are physically separated by an apparently sterile clay soil horizon. It is anticipated that the stratified cultural deposits at this site will help characterize the transition from the Late Archaic to the Early Woodland period along the Verdigris River in northeast Oklahoma. This site was first reported in April 1994 by two men who had discovered partially exposed human skeletal remains located in the rear remnant of a rockshelter at Oologah Lake in Rogers County, Oklahoma. The two men illegally excavated the remains and removed them from the site. 1 The rockshelter where the remains originated was subsequently examined by the authors and additional skeletal material was identified, in situ, in an exposed soil profile. A series of three radiocarbon assays, described below, placed the cultural deposit and the human remains within the Late Archaic-Woodland period (circa 780 B.C. to A.O. 900).2 This site is provisionally classified as corresponding to a cultural sequence that includes the old Grove C described by Purrington and Vehik