Scattering Calculations with Wavelets

We show that the use of wavelet bases for solving the momentum-space scattering integral equation leads to sparse matrices which can simplify the solution. Wavelet bases are applied to calculate the K-matrix for nucleon-nucleon scattering with the s-wave Malfliet-Tjon V potential. We introduce a new method, which uses special properties of the wavelets, for evaluating the singular part of the integral. Analysis of this test problem indicates that a significant reduction in computational size can be achieved for realistic few-body scattering problems.Comment: 26 pages, Latex, 6 eps figure

Velocity Fluctuations in Dynamical Fracture: the Role of Microcracks

We address the velocity fluctuations of fastly moving cracks in stressed materials. One possible mechanism for such fluctuations is the interaction of the main crack with micro cracks (irrespective whether these are existing material defects or they form during the crack evolution). We analyze carefully the dynamics (in 2 space dimensions) of one macro and one micro crack, and demonstrate that their interaction results in a {\em large} and {\em rapid} velocity fluctuation, in qualitative correspondence with typical velocity fluctuations observed in experiments. In developing the theory of the dynamical interaction we invoke an approximation that affords a reduction in mathematical complexity to a simple set of ordinary differential equations for the positions of the cracks tips; we propose that this kind of approximation has a range of usefulness that exceeds the present context.Comment: 7 pages, 7 figure

Tunable Superconducting Phase Transition in Metal-Decorated Graphene Sheets

Using typical experimental techniques it is difficult to separate the effects of carrier density and disorder on the superconducting transition in two dimensions. Using a simple fabrication procedure based on metal layer dewetting, we have produced graphene sheets decorated with a non-percolating network of nanoscale tin clusters. These metal clusters both efficiently dope the graphene substrate and induce long-range superconducting correlations. This allows us to study the superconducting transition at fixed disorder and variable carrier concentration. We find that despite structural inhomogeneity on mesoscopic length scales (10-100 nm), this material behaves electronically as a homogenous dirty superconductor. Our simple self-assembly method establishes graphene as an ideal tunable substrate for studying induced two-dimensional electronic systems at fixed disorder and our technique can readily be extended to other order parameters such as magnetism

Motivated Errors

In three sets of experiments involving 5,432 subjects, we show that agents make more errors when doing so allows them to justify selfish behavior. We show that errors relating to addition arise when they can help to justify selfishness but are eliminated when selfish motives are removed. In addition, we show that selfish motives can either exacerbate or mitigate errors relating to correlation neglect and anchoring. Our results are consistent with individuals acting confused as a justification for selfish behavior

Information Avoidance and Image Concerns

A rich literature finds that individuals avoid information and speculates that avoidance is driven by image concerns. This paper provides the first direct test of whether individuals avoid information because of image concerns. We build off of a classic paradigm, introducing a control condition that makes minimal changes to eliminate the role of image concerns while keeping other key features of the environment unchanged. Data from 6,421 experimental subjects shows that image concerns play a role in driving information avoidance, but a role that is substantially smaller-less than half of the magnitude-than the common approach in the literature would suggest

Application of wavelets to singular integral scattering equations

The use of orthonormal wavelet basis functions for solving singular integral scattering equations is investigated. It is shown that these basis functions lead to sparse matrix equations which can be solved by iterative techniques. The scaling properties of wavelets are used to derive an efficient method for evaluating the singular integrals. The accuracy and efficiency of the wavelet transforms is demonstrated by solving the two-body T-matrix equation without partial wave projection. The resulting matrix equation which is characteristic of multiparticle integral scattering equations is found to provide an efficient method for obtaining accurate approximate solutions to the integral equation. These results indicate that wavelet transforms may provide a useful tool for studying few-body systems.Comment: 11 pages, 4 figure

Early assessment of glucose abnormalities during continuous glucose monitoring associated with lung function impairment in cystic fibrosis patients

AbstractBackgroundCystic fibrosis-related diabetes (CFRD) is correlated with a decline in lung function. Under certain circumstances, oral glucose tolerance test (OGTT) screening, used to diagnose CFRD, fails to reveal early glucose tolerance abnormalities. In this situation, continuous glucose monitoring (CGM) could be a useful tool for evaluating early abnormalities of glucose tolerance in CF patients. We aimed to study the CGM glucose profile in CF patients with normal OGTT screening results and to evaluate lung function and nutritional status according to the CGM glucose profile.MethodsWe assessed glycemic control, the CGM glucose profile, nutritional status, lung function antibiotic courses and colonization (P. aeruginosa and S. aureus) in CF patients, aged 10years and over, with normal screening OGTT results (blood glucose at T120min<7.8mmol/l). Two groups were identified according to the max CGM glucose value: Group 1<11mmol/l and Group 2≥11mmol/l.ResultsAmong the 38 patients with normal OGTT, 12 (31.6%) were in Group 2. Compared to Group 1, Group 2 patients exhibited a significant impairment in lung function: FEV1, 68.2±25.6% vs. 87.3±17%, p=0.01 and FVC, 86.1%±19.4% vs. 99.3%±13.4%, p=0.021, as well as a higher rate of colonization by P. aeruginosa: 83.3% vs. 44%, p=0.024. Nevertheless, there were no differences in nutritional status (BMI standard deviation score: p=0.079; prealbumin: p=0.364).ConclusionsCGM reveals early abnormalities of glucose tolerance that remain undiagnosed by OGTT screening and are associated with worse lung function and a higher prevalence of P. aeruginosa colonization in patients with CF.Clinical trial registration number: NCT00476281

Brief of Resondents

This Brief outlines the Respondents (State/Prosecution) side of legal support for why the Sheppard Case was conducted in a partial and Constitutional manner. The two questions they present include: DID THE PUBLICITY RELATING TO THE PETITIONER DEPRIVE HIM OF A FAIR TRIAL? and WAS THE PETITIONER DEPRIVED OF A PUBLIC TRIAL? Using precedent and examination of the Irvin v. Dowd, 366 U.S. 717, 723 (1961) case and the case of Rideau v. State of Louisiana, 373 U.S. 723, 83 S. Ct., 1417, 10 L. Ed. 2d, 663 (1963), (perhaps the two cases most favorable to petitioner\u27s position) reveal where the United States Supreme Court has drawn the boundaries for what constitutes a fair trial in the face of adverse publicity. These cases with such a pattern of facts reveals situations that caused the United States Supreme Court to reverse both convictions. Although slightly similar to Sheppard, various factors suggest that the deep-rooted prejudice that existed in the Rideau and Irvin cases did not exist in the Sheppard case–as noted by respondents. After an examination of the relevant factors surrounding the Sheppard jury and the publicity in the community, respondent finds that it can merely repeat the words of the United States District Court in United States v. Kahaner, 204 F. Supp. 921, 924 (1962): Publicity, in and of itself does not, foreclose a fair trial. The courts do not function in a vacuum and jurors are not required to be totally ignorant of what goes on about them. * * * In considering the mentioned complaints it is necessary to keep in mind the following legal principles: The mere fact of unfavorable publicity does not of itself raise a presumption of prejudice but prejudice must manifest itself so as to corrupt due process. Dennis v. U.S., 302 F 2d 5 (1962). Mere exposure to adverse publicity does not necessarily result in bias, prejudgment or other disqualification. U.S. v. Applegarth, 206 F. Supp. 686, 687 (1962). The mere fact that a juror has read newspaper accounts relative to a criminal charge is not in itself sufficient grounds for excusing a jury. Blumenfield v. U.S, 284 F. 2d 46, 51 (1960). Also, regarding the petitioner\u27s (Sheppard) assertion that the action of the trial court in setting aside the major portion of the courtroom for representatives of the news media was violative of his right to a public trial. Respondent contends that the trial court was justified in its actions. Equally, the respondent is aware that the petitioner is going to present statements to the effect that the trial judge expressed his belief in the guilt of the petitioner before the trial commenced. Accordingly, respondent invites the Court\u27s attention to the recent case of Hendrix v. Hand, 312 F. 2d (1962) wherein the Court of Appeals, in a habeas corpus proceeding held that the mere fact that a trial judge in a state criminal prosecution signed a statement in advance of trial relating to the judge\u27s belief that the defendant was guilty of the crime charged did not establish any infringement of defendant\u27s right to a fair trial

Propagating mode-I fracture in amorphous materials using the continuous random network (CRN) model

We study propagating mode-I fracture in two dimensional amorphous materials using atomistic simulations. We used the continuous random network (CRN) model of an amorphous material, creating samples using a two dimensional analogue of the WWW (Wooten, Winer & Weaire) Monte-Carlo algorithm. For modeling fracture, molecular-dynamics simulations were run on the resulting samples. The results of our simulations reproduce the main experimental features. In addition to achieving a steady-state crack under a constant driving displacement (which had not yet been achieved by other atomistic models for amorphous materials), the runs show micro-branching, which increases with driving, transitioning to macro-branching for the largest drivings. Beside the qualitative visual similarity of the simulated cracks to experiment, the simulation also succeeds in explaining the experimentally observed oscillations of the crack velocity