Domain structure of bulk ferromagnetic crystals in applied fields near saturation

We investigate the ground state of a uniaxial ferromagnetic plate with perpendicular easy axis and subject to an applied magnetic field normal to the plate. Our interest is the asymptotic behavior of the energy in macroscopically large samples near the saturation field. We establish the scaling of the critical value of the applied field strength below saturation at which the ground state changes from the uniform to a branched domain magnetization pattern and the leading order scaling behavior of the minimal energy. Furthermore, we derive a reduced sharp-interface energy giving the precise asymptotic behavior of the minimal energy in macroscopically large plates under a physically reasonable assumption of small deviations of the magnetization from the easy axis away from domain walls. On the basis of the reduced energy, and by a formal asymptotic analysis near the transition, we derive the precise asymptotic values of the critical field strength at which non-trivial minimizers (either local or global) emerge. The non-trivial minimal energy scaling is achieved by magnetization patterns consisting of long slender needle-like domains of magnetization opposing the applied fieldComment: 38 pages, 7 figures, submitted to J. Nonlin. Sci

Structured Deformations of Continua: Theory and Applications

The scope of this contribution is to present an overview of the theory of structured deformations of continua, together with some applications. Structured deformations aim at being a unified theory in which elastic and plastic behaviours, as well as fractures and defects can be described in a single setting. Since its introduction in the scientific community of rational mechanicists (Del Piero-Owen, ARMA 1993), the theory has been put in the framework of variational calculus (Choksi-Fonseca, ARMA 1997), thus allowing for solution of problems via energy minimization. Some background, three problems and a discussion on future directions are presented.Comment: 11 pages, 1 figure, 1 diagram. Submitted to the Proceedings volume of the conference CoMFoS1

The existence of an inverse limit of inverse system of measure spaces - a purely measurable case

The existence of an inverse limit of an inverse system of (probability) measure spaces has been investigated since the very beginning of the birth of the modern probability theory. Results from Kolmogorov [10], Bochner [2], Choksi [5], Metivier [14], Bourbaki [3] among others have paved the way of the deep understanding of the problem under consideration. All the above results, however, call for some topological concepts, or at least ones which are closely related topological ones. In this paper we investigate purely measurable inverse systems of (probability) measure spaces, and give a sucient condition for the existence of a unique inverse limit. An example for the considered purely measurable inverse systems of (probability) measure spaces is also given

What Motivates Patients to Enroll in a Naloxone Co-Prescribing Program?

Patients were contacted via phone call to establish knowledge of and prescription status regarding naloxone. They were then invited to enroll in a research study consisting of two online surveys. The patients who had been prescribed naloxone by the time the study had started ranked being persuaded by a medical professional as being the most important reason for accepting the naloxone prescription. Insufficient data collected during the six-week time frame to draw statistically significant conclusions about what motivates patients to receive naloxone co-prescriptions. Correlations seen in this study are interesting and warrant further investigation

Assessing the Effectiveness of Phone Call Proactive Naloxone Co-Prescribing Enrollment

Opioid use is increasing at never-before-seen rates. As a result, it is imperative that medical facilities educate and provide resources for those who may be at risk of an opioid overdose. With our study, we aimed to see the demographics of our population here at Rowan Medicine and identify associations of those participating in our naloxone co-prescription program. Majority of enrollees in our program were aged 50 or older and identified as Caucasian. A large proportion also reported being unable to work. Given this information, improvements in our naloxone coprescription program may include spreading more awareness of the benefits of naloxone to minority populations, as well as to the younger population at risk of an opioid overdose