Stable Vortex Solutions to the Ginzburg–Landau Equation with a Variable Coefficient in a Disk

AbstractThis paper deals with stable solutions with a single vortex to the Ginzburg–Landau equation having a variable coefficient subject to the Neumann boundary condition in a planar disk. The equation has a positive parameter, say λ, which will play an important role for the stability of the solution. We consider the equation with a radially symmetric coefficient in the disk and suppose that the coefficient is monotone increasing in a radial direction. Then the equation possesses a pair of solutions with a single vortex for large λ. Although these solutions for the constant coefficient are unstable, they can be stable for a suitable variable coefficient and large λ. The purpose of this article is to give a sufficient condition for the coefficient to allow those solutions being stable for any sufficiently large λ. As an application we show an example of the coefficient enjoying the condition, which has an arbitrarily small total variation

Existence of spiky stationary solutions to a mass-conserved reaction-diffusion model

We deal with a mass-conserved three-component reaction-diffusion system which is proposed by a model describing the dynamics of wavelike actin polymerization in the macropinocytosis and numerically exhibits dynamical patterns such as annihilation, crossover, and nucleation of pulses (Yochelis-Beta-Giv 2020). In this article we first establish the condition for the diffusion driven instability in the system. Then we rigorously prove the existence of spiky stationary solutions to the system in a bounded interval with the Neumann condition. By numerics these solutions play a crucial role in the nucleation of pulses. Reducing the stationary problem to a scalar second order nonlinear equation with a nonlocal term, we construct the desired solution by converting the equation to an integral equation

Hall Effect and Magnetoresistance in Ferromagnetic Amorphous Fe-Co and Fe-Ni Alloys

The magnetoresistance over the temperature range from 77 K to the crystallization temperature and the Hall resistivity at room temperature were measured for the rapidly quenched amorphous alloys (Fe_Co_x)_Si_B_ and (Fe_Ni_x)_Si_B_. The anisotropic magnetoresistance ratio Δρ/ρ in both systems was roughly one order of magnitude smaller than that of crystalline Fe, Co and Ni metals and their alloys, and the normal and anomalous Hall coefficients R_0 and R_s were roughly one or two order of magnitude greater than those of the crystalline metals and alloys. The values of Δρ/ρ and R_0 and R_s monotonically changed with composition x at room temperature. The changes in Δρ/ρ and R_s with composition were compared with those for the Ni-based crystalline alloys on the basis of Berger\u27s theory

Magnetic Moment and Curie Temperature of Amorphous (Co_<1-x>Mn_x)_<100-y>B_y Alloys

Measurements have been made of the magnetic moment and the Curie temperature of Co-Mn-B amorphous alloys with wide Mn and B concentrations. The magnetic moment decreases monotonically with increasing Mn concentration for the alloys with low B concentrations, while it increases initially and then decreases for the alloy with high B concentrations. Ferromagnetic moment vanishes at about Mn/(Co+Mn)=0.4 irrespective of B concentration. The Curie point also reaches zero absolute temperature near the same Mn concentration. The upwards convex curves of magnetic moment vs. Mn concentration in the present amorphous alloys are very different from that of the crystalline Co-Mn alloys, but rather similar to that of the (Co, Mn)_2B intermetallic compound. These composition dependences are analyzed in terms of the local environment effect

Venous Thromboembolism in Patients with Acute Thoracolumbar Spinal Cord Injury

Venous thromboembolism (VTE) is a major complication in patients with acute spinal cord injury. There are few reports of VTE with acute thoracolumbar spinal cord injury (TLSCI). We assessed the incidence of VTE with acute TLSCI using color Doppler ultrasonography. We retrospectively assessed 75 patients with acute TLSCI (T1 to L1). All patients were surgically treated. VTE of the lower extremity and pelvis was assessed using color Doppler ultrasound regardless of whether symptoms were present. This retrospective study included patients who were assessed between 6 and 10 days (mean 8.1 days) after injury. VTE was detected in 27 of the 75 patients (35.7%) with or without paralysis. Of the 13 patients who had complete motor paralysis, 8 (62%) had VTE; of the 31 patients with incomplete motor paralysis, 10 (32%) had VTE, and of the 31 patients without motor paralysis, 9 (29%) had VTE. Among the patients with TLSCI, those with VTE had a significantly higher mean age than those without. The incidence of VTE in TLSCI patients is not related to the severity of paralysis in a Japanese population. The incidence appears to be related primarily to age

TEE image quality improvement with our devised probe cover

OBJECTIVE(S): Our hypothesis was that our devised transesophageal echocardiography probe cover with the capacity for pinpoint suction would improve image quality. DESIGN: Prospective cohort study. SETTING: Single tertiary medical center. PARTICIPANTS: Patients undergoing surgery requiring intraoperative transesophageal echocardiography. INTERVENTIONS: Suctioning with inserted orogastric tube. MEASUREMENTS AND MAIN RESULTS: Changes in image quality with suctioning were assessed by 2 methods. In method #1, investigators categorized the quality of all acquired images on a numeric scale based on each investigator\u27s impression (1: very poor, 2: poor, 3: acceptable, 4: good, and 5: very good). In method #2, the reproducibility of the left ventricular fraction area change (LV FAC) was assessed, assuming that improved transgastric midpapillary short-axis view image quality would yield better LV FAC reproducibility. With method #1, for midesophageal views, 26.5%, 70.5%, and 3.0% of images showed improved, the same, and worsened image quality, respectively. For transgastric views, 55.3%, 43.3%, and 1.4% showed improved, the same, and worsened image quality, respectively. For deep transgastric views, 60.0%, 38.0%, and 2.0% showed improved, the same, and worsened image quality, respectively. With method #2, the presuction group had an ICC of 0.942 (95% CI: 0.91, 0.965). The postsuction group had an ICC of 0.988 (95% CI: 0.981, 0.993). CONCLUSIONS: Our investigation validates the potential image quality improvement withour devised TEE probe cover. However, its clinical validity needs to be confirmed by further studies

The Stretcher Operation of KSR (NUCLEAR SCIENCE RESEARCH FACILITY-Particle and Photon Beams)

The electron ring KSR has been utilized as a pulse stretcher of the 100 MeV S-band electron linac. The duty factor of the electron beam has been increased drastically more than 90% from 2 10-5