Holographic model of hybrid and coexisting s-wave and p-wave Josephson junction

In this paper the holographic model for hybrid and coexisting s-wave and p-wave Josephson junction is constructed by a triplet charged scalar field coupled with a non-Abelian $SU(2)$ gauge fields in (3+1)-dimensional AdS spacetime. Depending on the value of chemical potential $\mu$, one can show that there are four types of junctions (s+p-N-s+p, s+p-N-s, s+p-N-p and s-N-p). We show that DC current of all the hybrid and coexisting s-wave and p-wave junctions is proportional to the sine of the phase difference across the junction. In addition, the maximum current and the total condensation decays with the width of junction exponentially, respectively. For s+p-N-s and s-N-p junction, the maximum current decreases with growing temperature. Moreover, we find that the maximum current increases with growing temperature for s+p-N-s+p and s+p-N-p junction, which is in the different manner as the behaviour of s+p-N-s and s-N-p junction.Comment: 20 pages, 12 figures, v2: typos corrected, references added, published versio

Multi-skyrmion states in the Skyrme model with false vaccum potential

We study the multi-skyrmion states using a Skyrme model with false vacuum potential upto baryon number $B=8$ using the product ansatz. It is found that, both the false vacuum potential and true vacuum potential can yield cluster structure of the multi-skyrmion states. The effect of the explicit chiral breaking on the masses and the contour surfaces of the baryon number density of the multi-skyrmion states are analyzed.Comment: 4 pages, 4 figure

Vector meson effects on the multi-skyrmion states from the rational map ansatz

The roles of the lightest vector mesons $\rho$ and $\omega$ in the multi-skyrmion states are studied using the hidden local symmetry approach upto the next to leading order including the homogeneous Wess-Zumino terms. The low energy constants in the effective field theory are determined by using the Sakai-Sugimoto model and the flat-space five-dimensional Yang-Mills action. With only two inputs, $m_\rho$, and $f_\pi$, all the low energy constants can be determined without ambiguity. The vector meson effects can be investigated by integrating them in order and the influence from the geometry can be clarified by comparing the results using the low energy constants estimated from the Sakai-Sugimoto model and the flat-space five-dimensional Yang-Mills action. We find that the $\rho$ meson reduces the masses of the multi-skyrmion states and increases the overlaps of the constituents of the multi-skyrmion states while the $\omega$ meson repulses the constituents of the multi-skyrmion states and increases their masses, therefore these vector mesons are important in Skyrme model approach to nuclei. we also find that the warping factor which is an essential element in the holographic model of QCD affects the properties of the multi-skyrmion states and cannot be ignored.Comment: 6 figures, 3 table

The supply chain design for perishable food with stochastic demand

© 2017 by the authors. It has been a challenging task to manage perishable food supply chains because of the perishable product's short lifetime, the possible spoilage of the product due to its deterioration nature, and the retail demand uncertainty. All of these factors can lead to a significant amount of shortage of food items and a substantial retail loss. The recent development of tracing and tracking technologies, which facilitate effective monitoring of the inventory level and product quality continuously, can greatly improve the performance of food supply chain and reduce spoilage waste. Motivated by this recent technological advancement, our research aims to investigate the joint decision of pricing strategy, shelf space allocation, and replenishment policy in a single-item food supply chain setting, where our goal is to maximize the retailer's total expected profit subject to stochastic retail demand. We prove the existence of optimality for the design of the perishable food supply chain. We then extend the single-item supply chain problem to a multi-item setting and propose an easy-to-implement searching algorithm to produce the optimal allocation of shelf space among these items for practical implementation. Finally, we provide numerical examples to demonstrate the effectiveness of our solution.Link_to_subscribed_fulltex

Computational Studies of a Novel Magnetically Driven Single-Use-Technology Bioreactor::A Comparison of Mass Transfer Models

This work applies computational fluid dynamics (CFD) modelling to a novel 1000 L design of single-use-technology (SUT) bioreactor, with a magnetically driven floor-mounted impeller and spargers distributed across the tank floor. A two-phase Euler-Euler model using the k-ε turbulence model and population balance is presented alongside the use of immersed solid method for modelling the impeller motion. This work also provides the first CFD analysis of a large-scale SUT bioreactor, identifying key flow characteristics of the non-standard design at different operating conditions. Five models for the mass transfer coefficient, k L, are compared, with k La values compared to experimental measurements. The slip velocity model is found to be the best prediction of the mass transfer coefficient for this SUT system. Separating the influence of the mass transfer coefficient and specific area,a shows that the latter is the dominant driving force behind changes in k La that occur at different operating conditions. Comparing the present work to previous studies for traditional stirred tanks highlights the need for understanding the hydrodynamics of non-standard reactor designs when identifying suitable mass transfer models in gas-liquid flow systems. </p