No abstract

Axion models have two serious cosmological problems, domain wall and isocurvature perturbation problems. In order to solve these problems we investigate the Linde's model in which the field value of the Peccei-Quinn (PQ) scalar is large during inflation. In this model the fluctuations of the PQ field grow after inflation through the parametric resonance and stable axionic strings may be produced, which results in the domain wall problem. We study formation of axionic strings using lattice simulations. It is found that in chaotic inflation the axion model is free from both the domain wall and the isocurvature perturbation problems if the initial misalignment angle θ a is smaller than O(10 −2 ). Furthermore, axions can also account for the dark matter for the breaking scale v 10 12−16 GeV and the Hubble parameter during inflation H inf 10 11−12 GeV in general inflation models.

No abstract

We measured the effective resistance (Reff) and elastance (Eeff) of the chest wall in four subjects, relaxed at functional residual capacity (FRC), during sinusoidal volume changes (5% vital capacity up to 4 Hz) delivered at the mouth. Subjects sat in a head-out body plethysmograph, and transthoracic pressure was measured with an esophageal balloon. Changes in Reff and in Eeff with frequency were nearly the same in all subjects. Reff (in cmH2O X l-1 X s) was 2.9 +/- 0.8 at 0.2 Hz and fell sharply to minimum values (0.5-0.9) at 1-4 Hz. Eeff (in cmH2O X l-1) increased from approximately 10 at the lowest frequency to a plateau of about 15 at 1-3 Hz and decreased above 3 Hz. In the same subjects, we measured the relative magnitude and phase between the displacements of different parts of the chest wall with magnetometers during identical sinusoidal forcing. Results indicate that the chest wall expands and deflates uniformly at frequencies up to 1 Hz. Thereafter the abdomen makes relatively larger excursions, and the relative magnitude and phase of displacement at different points on the chest wall show complex changes. We conclude that the frequency dependence of Reff and Eeff below 1 Hz is not due to nonuniformities in displacement of different parts of the chest wall. The frequency dependency of Reff is consistent with an increasing contribution of rate-independent plastic dissipation to the pressure difference in phase with flow as breathing frequency decreases.

Applications of the quantum algorithm for Monte Carlo simulation to pricing of financial derivatives have been discussed in previous papers. However, up to now, the pricing model discussed in such papers is Black-Scholes model, which is important but simple. Therefore, it is motivating to consider how to implement more complex models used in practice in financial institutions. In this paper, we then consider the local volatility (LV) model, in which the volatility of the underlying asset price depends on the price and time. We present two types of implementation. One is the register-per-RN way, which is adopted in most of previous papers. In this way, each of random numbers (RNs) required to generate a path of the asset price is generated on a separated register, so the required qubit number increases in proportion to the number of RNs. The other is the PRNon-a-register way, which is proposed in the author's previous work. In this way, a sequence of pseudo-random numbers (PRNs) generated on a register is used to generate paths of the asset price, so the required qubit number is reduced with a trade-off against circuit depth. We present circuit diagrams for these two implementations in detail and estimate required resources: qubit number and T-count.