Exact Dynamics of Multicomponent Bose-Einstein Condensates in Optical Lattices in One, Two and Three Dimensions

Numerous exact solutions to the nonlinear mean-field equations of motion are constructed for multicomponent Bose-Einstein condensates on one, two, and three dimensional optical lattices. We find both stationary and nonstationary solutions, which are given in closed form. Among these solutions are a vortex-anti-vortex array on the square optical lattice and modes in which two or more components slosh back and forth between neighboring potential wells. We obtain a variety of solutions for multicomponent condensates on the simple cubic lattice, including a solution in which one condensate is at rest and the other flows in a complex three-dimensional array of intersecting vortex lines. A number of physically important solutions are stable for a range of parameter values, as we show by direct numerical integration of the equations of motion.Comment: 22 pages, 9 figure

Blue remembered skills : mental health awareness training for police officers

The Bradley Report (Bradley, 2009) has raised a number of important questions regarding the treatment of individuals who are experiencing mental health problems and find themselves in the criminal justice system. One of the key recommendations is that professional staff working across criminal justice organisations should receive increased training in this area. This paper explores the experiences of two professionals, a mental health nurse and a social worker, involved in providing training for police officers. It goes on to consider the most effective models of training for police officers

Vibration Characteristics Determined for Stainless Steel Sandwich Panels With a Metal Foam Core for Lightweight Fan Blade Design

The goal of this project at the NASA Glenn Research Center is to provide fan materials that are safer, weigh less, and cost less than the currently used titanium alloy or polymer matrix composite fans. The proposed material system is a sandwich fan construction made up of thin solid face sheets and a lightweight metal foam core. The stiffness of the sandwich structure is increased by separating the two face sheets by the foam layer. The resulting structure has a high stiffness and lighter weight in comparison to the solid facesheet material alone. The face sheets carry the applied in-plane and bending loads (ref. 1). The metal foam core must resist the transverse shear and transverse normal loads, as well as keep the facings supported and working as a single unit. Metal foams have ranges of mechanical properties, such as light weight, impact resistance, and vibration suppression (ref. 2), which makes them more suitable for use in lightweight fan structures. Metal foams have been available for decades (refs. 3 and 4), but the difficulties in the original processes and high costs have prevented their widespread use. However, advances in production techniques and cost reduction have created a new interest in this class of materials (ref. 5). The material chosen for the face sheet and the metal foam for this study was the aerospace-grade stainless steel 17-4PH. This steel was chosen because of its attractive mechanical properties and the ease with which it can be made through the powder metallurgy process (ref. 6). The advantages of a metal foam core, in comparison to a typical honeycomb core, are material isotropy and the ease of forming complex geometries, such as fan blades. A section of a 17-4PH sandwich structure is shown in the following photograph. Part of process of designing any blade is to determine the natural frequencies of the particular blade shape. A designer needs to predict the resonance frequencies of a new blade design to properly identify a useful operating range. Operating a blade at or near the resonance frequencies leads to high-cycle fatigue, which ultimately limits the blade's durability and life. So the aim of this study is to determine the variation of the resonance frequencies for an idealized sandwich blade as a function of its face-sheet thickness, core thickness, and foam density. The finite element method is used to determine the natural frequencies for an idealized rectangular sandwich blade. The proven Lanczos method (ref. 7) is used in the study to extract the natural frequency

Nighttime Traffic Volume Predicts Risk of Deer–Vehicle Collisions

Annually, in the United States, \u3e1 million deer (Odocoileus spp.)–vehicle collisions are reported, resulting in losses of $4.6 billion in vehicle damage and medical expenses. Wildlife and transportation managers require better information about traffic volumes relative to seasonal and diurnal deer movement patterns to appropriately evaluate the risks associated with deer–vehicle collisions (DVCs). We incorporated traffic volume data with DVC data and the movement rates and incidences of road crossings by white-tailed deer (O. virginianus) to evaluate if traffic volume or deer behaviors mediate the incidence of DVCs along a high-volume interstate highway in Morgan County in central Georgia, USA. From May 2012 to July 2014, we monitored the movements and survival of 25 deer (13 males, 12 females) instrumented with global positioning system (GPS) collars in an area 1.6 km north and south of a 7.7-km section of Interstate 20 in our study area. We used a linear mixed model to quantify the effects of mean traffic volume and total road crossings on DVCs for each hour of the day. Deer movements and DVCs were primarily crepuscular. Approximately 60% of GPS-collared deer crossed roads; 7 deer accounted for \u3e90% of all road crossings. Approximately 73% of daily traffic occurred between 0700 and 1859 hours. Nearly twice the number of daily DVCs occurred during the fall (9.8 DVCs/day) than during the next highest season (winter; 4.9 DVCs/day). Although DVCs occurred at greater frequencies during crepuscular periods, results of our linear mixed model suggested only nighttime traffic volume predicted DVCs. The relationship between nighttime DVCs and traffic volume is likely due to the inability of drivers to perceive deer in a roadway during this time. We recommend mitigation efforts focus on increasing driver vigilance and reducing vehicle speed during nighttime periods, especially during the fall season

Analysis of Stainless Steel Sandwich Panels with a Metal Foam Care for Lightweight Fan Blade Design

The quest for cheap, low density and high performance materials in the design of aircraft and rotorcraft engine fan and propeller blades poses immense challenges to the materials and structural design engineers. Traditionally, these components have been fabricated using expensive materials such as light weight titanium alloys, polymeric composite materials and carbon-carbon composites. The present study investigates the use of P sandwich foam fan blade made up of solid face sheets and a metal foam core. The face sheets and the metal foam core material were an aerospace grade precipitation hardened 17-4 PH stainless steel with high strength and high toughness. The stiffness of the sandwich structure is increased by separating the two face sheets by a foam core. The resulting structure possesses a high stiffness while being lighter than a similar solid construction. Since the face sheets carry the applied bending loads, the sandwich architecture is a viable engineering concept. The material properties of 17-4 PH metal foam are reviewed briefly to describe the characteristics of the sandwich structure for a fan blade application. A vibration analysis for natural frequencies and P detailed stress analysis on the 17-4 PH sandwich foam blade design for different combinations of skin thickness and core volume %re presented with a comparison to a solid titanium blade

An Additive to Improve the Wear Characteristics of Perfluoropolyether Based Greases

The friction and wear characteristics of two formulated perfluoropolyether based greases were compared to their non-additive base greases. One grease was developed for the electronics industry (designated as GXL-296A) while the other is for space applications (designated as GXL-320A). The formulated greases (GXL-296B and GXL-320B) contained a proprietary antiwear additive at an optimized concentration. Tests were conducted using a vacuum four-ball tribometer. AISI 52100 steel specimens were used for all GXL-296 tests. Both AISI 52100 steel and 440C stainless steel were tested with the GXL-320 greases. Test conditions included: a pressure less than 6.7 x 10(exp )-4 Pa, a 200N load, a sliding velocity of 28.8 mm/sec (100 rpm) and room temperature (approximately equal to 23 C). Wear rates for each grease were determined from the slope of the wear volume as a function of sliding distance. Both non-additive base greases yielded relatively high wear rates on the order of 10(exp -8) cu mm using AISI 52100 steel specimens. Formulated grease GXL-296B yielded a reduction in wear rate by a factor of approximately 21, while grease GXL-320B had a reduction of approximately 12 times. Lower wear rates (-50%) were observed with both GXL-320 greases using 440C stainless steel. Mean friction coefficients were slightly higher for both formulated greases compared to their base greases. The GXL-296 series (higher base oil viscosity) yielded much higher friction coefficients compared to their GXL-320 series (lower base oil viscosity) counterparts

A longitudinal analysis of urological chronic pelvic pain syndrome flares in the Multidisciplinary Approach to the Study of Chronic Pelvic Pain (MAPP) Research Network

Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/151272/1/bju14783.pdfhttps://deepblue.lib.umich.edu/bitstream/2027.42/151272/2/bju14783_am.pd