Abstract Income-based energy poverty metrics ignore people’s behavior patterns, particularly reducing energy consumption to limit financial stress. We investigate energy-limiting behavior in low-income households using a residential electricity consumption dataset. We first determine the outdoor temperature at which households start using cooling systems, the inflection temperature. Our relative energy poverty metric, theenergy equity gap, is defined as the difference in the inflection temperatures between low and high-income groups. In our study region, we estimate the energy equity gap to be between 4.7–7.5 °F (2.6–4.2 °C). Within a sample of 4577 households, we found 86 energy-poor and 214 energy-insecure households. In contrast, the income-based energy poverty metric, energy burden (10% threshold), identified 141 households as energy-insecure. Only three households overlap between our energy equity gap and the income-based measure. Thus, the energy equity gap reveals a hidden but complementary aspect of energy poverty and insecurity.
more »
« less
Scattering profile for global solutions of the energy-critcal wave equation
The authors extract the scattering profile for global, bounded in energy, solutions of the energy critical nonlinear wave equation.
more »
« less
- Award ID(s):
- 1800082
- PAR ID:
- 10108256
- Date Published:
- Journal Name:
- Journal of the European Mathematical Society
- Volume:
- 21
- Issue:
- 7
- ISSN:
- 1435-9855
- Page Range / eLocation ID:
- 2117-2162
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
More Like this
-
-
Energy is one of the fundamental topics taught in high school physics. However, energy continues to betaught as an abstract concept that removes itself from the social implications energy systems have onsociety, in particular toward Indigenous communities. Given the importance of integrating discussionsaround equity into our science courses, in this study we propose a way in which energy justice can beredefined and included in physics classrooms. Redefining energy justice into physics classrooms allows usto connect energy justice to existing energy physics curriculum and lessons plans. In Summer 2020, 22physics teachers participated in a professional development that centered on discussions around energyand equity. We analyzed and coded teachers’ dialogues and conversations around energy and equity toidentify energy justice pillars. The energy justice pillars we identified formed the basis of an energy justiceframework that redefines energy justice for physics classrooms. This energy justice framework allows usto bridge the separation between physics and social justice, as they continue to be viewed as two separateschools of thought in the field of physics.more » « less
-
The probability distribution for vacuum fluctuations of the energy flux in two dimensions is constructed, along with the joint distribution of energy flux and energy density. Our approach is based on previous work on probability distributions for the energy density in two-dimensional conformal field theory. In both cases, the relevant stress tensor component must be averaged in time, and the results are sensitive to the form of the averaging function. Here we present results for two classes of such functions, which include the Gaussian and Lorentzian functions. The distribution for the energy flux is symmetric, unlike that for the energy density. In both cases, the distribution may possess an integrable singularity. The functional form of the flux distribution function involves a modified Bessel function and is distinct from the shifted Gamma form for the energy density. By considering the joint distribution of energy flux and energy density, we show that the distribution of energy flux tends to be more centrally concentrated than that of the energy density. We also determine the distribution of energy fluxes, conditioned on the energy density being negative. Some applications of the results are also discussed.more » « less
-
Abstract To address the inability of the traditional thermal energy balance to explain field observations in the atmospheric boundary layer (ABL), this study investigates total energy conservation for atmospheric applications. Total energy conservation serves as a unique constraint on variations among different energy forms, especially when these variations are interconnected, as observed in the non‐isothermal atmosphere. In contrast, the first law of thermodynamics for the derivation of the traditional thermal energy balance is a special case of total energy conservation for a closed system at rest with thermal energy variations only. By keeping both total and kinetic energy conservation, a generalized thermal energy balance is found to contain two additional terms related to airflows compared with the traditional balance. They represent the thermal energy contribution to non‐hydrostatic energy transfer via heat transfer by vertical airflows and dissipation heating via air viscosity due to airflow deformation. Because of the effective vertical heat transfer by airflows, the non‐hydrostatic energy transfer contributes to major stability‐dependent differences between the traditional and generalized thermal energy balances. The stability‐dependent bias of the traditional balance is consistent with disagreement between field observations and traditional theoretical expectations such as the well‐known observed surface thermal energy imbalance, among others.more » « less
-
The Digital Power Network (DPN) is an energy-on-demand approach. In terms of Internet of Things (IoT), it treats the energy itself as a `thing' to be manipulated (in contrast to energy as the `thing's enabler'). The approach is mostly appropriate for energy starving micro-grids with limited capacity, such as a generator for the home while the power grid is down. The process starts with a request of a user (such as, appliance) for energy. Each appliance, energy source or energy storage has an address which is able to communicate its status. A network server, collects all requests and optimizes the energy dissemination based on priority and availability. Energy is then routed in discrete units to each particular address (say air-condition, or, A/C unit). Contrary to packets of data over a computer network whose data bits are characterized by well-behaved voltage and current values at high frequencies, here we deal with energy demands at highvoltage, low-frequency and fluctuating current. For example, turning a motor ON requires 8 times more power than the level needed to maintain a steady states operation. Our approach is seamlessly integrating all energy resources (including alternative sources), energy storage units and the loads since they are but addresses in the network. Optimization of energy requests and the analysis of satisfying these requests is the topic of this paper. Under energy constraints and unlike the current power grid, for example, some energy requests are queued and granted later. While the ultimate goal is to fuse information and energy together through energy digitization, in its simplest form, this micro-grid can be realized by overlaying an auxiliary (communication) network of controllers on top of an energy delivery network and coupling the two through an array of addressable digital power switches.more » « less
An official website of the United States government

