Exact and approximate solutions of the fractional diffusion equation for an assembly of fixed-axis dipoles are derived for anomalous noninertial rotational diffusion in a double-well potential. It is shown that knowledge of three time constants characterizing the normal diffusion, viz., the integral relaxation time, the effective relaxation time, and the inverse of the smallest eigenvalue of th...

The anomalous translational diffusion including inertial effects of nonlinear Brownian oscillators in a double well potential V(x)=ax{2}/2+bx{4}/4 is considered. An exact solution of the fractional Klein-Kramers (Fokker-Planck) equation is obtained allowing one to calculate via matrix continued fractions the positional autocorrelation function and dynamic susceptibility describing the position ...

The multifrontal LU method is implemented to solve drift-diffusion models with large sparse matrices arising in the simulation and optimization of semiconductor devices. The performance of this method is compared with the LU algorithm without multifrontal scheme on different computers in the case of a realistic double heterojunction transistor. Résumé On emploie un méthode LU multifrontale pour...

Altogether 29 745 English blood donors were screened for IgA deficiency by double diffusion analysis; 57 had apparent absence of IgA, a frequency of 1:522. Further examination by the more sensitive haemagglutination inhibition assay revealed 34 samples having no detectable IgA, a frequency of 1:875. All donors negative by double diffusion analysis were tested for the presence of antibodies to I...

The ammonia loss through Nalophan bags has been studied. The losses observed for storage conditions and times as allowed by the reference standard for dynamic olfactometry (EN 13725:2003) indicate that odour concentration values due to the presence of small molecules may be significantly underestimated if samples are not analysed immediately after sampling. A diffusion model was used in order t...

Introduction T2and diffusion-weighted imaging are useful as non-contrast-enhanced MRI techniques; however both are limited by low-resolution and blurring [1,2]. The Fast Acquisition Double Echo (FADE) sequence is a 3D steady-state sequence with two echoes per TR; spoiler gradients that separate the echoes provide diffusion weighting. FADE enables high-resolution T2and diffusion-weighting imagin...

Ordinary differential equations(ODEs) with stochastic processes in their vector field, have lots of applications in science and engineering. The main purpose of this article is to investigate the numerical methods for ODEs with Wiener and Compound Poisson processes in more than one dimension. Ordinary differential equations with Ito diffusion which is a solution of an Ito stochastic differentia...

Because of its pronounced fresh signature, the properties northward-flowing Antarctic Intermediate Water (AAIW) affect Atlantic Meridional Overturning Circulation. Hence, understanding modifications AAIW along path is important. Here, we analyze changes in Caribbean Sea and assess whether vertical fluxes from background turbulence double-diffusive mixing thermohaline staircases can explain thes...

In this paper, we provide Laplace transform-based analytical solutions to pricing problems of various occupation-time-related derivatives such as step options, corridor options, and quantile options under Kou’s double exponential jump diffusion model. These transforms can be inverted numerically via the Euler Laplace inversion algorithm, and the numerical results illustrate that our pricing met...

BACKGROUND The aim of this double-blind randomized study is to test the efficacy of a radio electric stimulator device using an auricular reflex therapy protocol for stress-related symptoms. METHODS The study has been carried out on 200 subjects (138 females, 62 males) that voluntarily came to our Institute declaring to "feel stressed".The participants were randomly allocated with a computeri...