Split degenerate states and stable p+ip phases from holography

In this paper, we investigate the p+$i$p superfluid phases in the complex vector field holographic p-wave model. We find that in the probe limit, the p+$i$p phase and the p-wave phase are equally stable, hence the p and $i$p orders can be mixed with an arbitrary ratio to form more general p+$\lambda i$p phases, which are also equally stable with the p-wave and p+$i$p phases. As a result, the system possesses a degenerate thermal state in the superfluid region. We further study the case with considering the back reaction on the metric, and find that the degenerate ground states will be separated into p-wave and p+$i$p phases, and the p-wave phase is more stable. Finally, due to the different critical temperature of the zeroth order phase transitions from p-wave and p+$i$p phases to the normal phase, there is a temperature region where the p+$i$p phase exists but the p-wave phase doesn't. In this region we find the stable p+$i$p phase for the first time.Comment: 16 pages, 5 figures; typos correcte

The holographic s+p model in 4D and 5D Einstein-Gauss-Bonnet gravity

We study the holographic s+p model in both four dimensional (4D) and five dimensional (5D) Einstein-Gauss-Bonnet (EGB) gravity. We first show a phase diagram with the Gauss-Bonnet parameter fixed to a small value $\alpha=10^{-7}$ to choose propitiate values of $q_p/q_s$. Then we fix the value of $q_p/q_s$ and plot $\alpha-\mu$ phase diagrams to show the influence of Gauss-Bonnet term on the phase transitions in both 4D and 5D bulk, respectively. The phase diagrams in 4D and 5D present the same qualitative features, indicating similarity of 4D Einstein-Gauss-Bonnet gravity with the 5D case in holography. We also study the influences of Gauss-Bonnet parameter on the special values of the fourth order nonlinear term parameters $\lambda_s$ and $\lambda_p$, below which the condensate grows to a different direction near the critical point, that is important in realizing 1st order superfluid phase transitions. Especially, we notice that these special values are different in the canonical and grand canonical ensembles, which is closely related to the study of the spinodal region, where the phase separations occurs with the linear instability at finite wave vector.Comment: 8 pages, 6 figure

Unsupervised Learning Composite Network to Reduce Training Cost of Deep Learning Model for Colorectal Cancer Diagnosis

Deep learning facilitates complex medical data analysis and is increasingly being explored in colorectal cancer diagnostics. However, the training cost of the deep learning model limits its real-world medical utility. In this study, we present a composite network that combines deep learning and unsupervised K-means clustering algorithm (RK-net) for automatic processing of medical images. RK-net was more efficient in image refinement compared with manual screening and annotation. The training of a deep learning model for colorectal cancer diagnosis was accelerated by two times with utilization of RK-net-processed images. Better performance was observed in training loss and accuracy achievement as well. RK-net could be useful to refine medical images of the ever-expanding quantity and assist in subsequent construction of the artificial intelligence model

The holographic s+p model in 4D and 5D Einstein-Gauss-Bonnet gravity

We study the holographic s+p model in both four dimensional (4D) and five dimensional (5D) Einstein-Gauss-Bonnet (EGB) gravity. We first show a phase diagram with the Gauss-Bonnet parameter fixed to a small value α=10−7 to choose appropriate values of qp/qs. Then we fix the value of qp/qs and plot α−μ phase diagrams to show the influence of Gauss-Bonnet term on the phase transitions in both 4D and 5D bulk, respectively. The phase diagrams in 4D and 5D present the same qualitative features, indicating similarity of 4D Einstein-Gauss-Bonnet gravity with the 5D case in holography. We also study the influences of the Gauss-Bonnet parameter on the special values of the fourth order nonlinear term parameters λs and λp, below which the condensate grows to a different direction near the critical point, that is important in realizing 1st order superfluid phase transitions. Especially, we notice that these special values are different in the canonical and grand canonical ensembles, which is closely related to the study of the spinodal region, where the phase separations occur with the linear instability at finite wave vector

Enhanced Fenton Catalytic Efficiency of γ‑Cu–Al₂O₃ by σ‑Cu²⁺–Ligand Complexes from Aromatic Pollutant Degradation

Mesoporous Cu-doped γ-Al₂O₃ (γ-Cu–Al₂O₃) was prepared via an evaporation-induced self-assembly process, in which Cu^+/2+ was co-incorporated into mesoporous γ-Al₂O₃ by chemical bonding of Al–O–Cu. The catalyst was found to be highly effective and stable for the degradation and mineralization of aromatic pollutants, as demonstrated with bisphenol A, 2,4-dichlorophenoxyacetic acid, ibuprofen, diphenhydramine, and phenytoin in the presence of H₂O₂ under neutral pH conditions. In addition, the high utilization efficiency of H₂O₂ was maintained at approximately 90% prior to the disappearance of the initial aromatic pollutants. On the basis of all of the characterization results, the pollutant degradation processes predominantly occurred on the surface of the catalyst due to the formation of σ-Cu–ligand complexes between the phenolic OH group and the surface Cu. In the reaction system, in addition to the unselective oxidation by ^•OH, H₂O₂ directly attacked the σ-Cu²⁺-complexes aromatic ring with the phenolic OH group, which resulted in the formation of ^•OH and HO-adduct radicals that were oxidized to hydroxylation products by reduction of Cu²⁺ in the σ-Cu²⁺-complexes to Cu⁺. The process prevented Cu²⁺ from oxidizing H₂O₂ to form HO₂^•/O₂^•– or O₂, and enhanced the Cu⁺/Cu²⁺ cycle, the formation of ^•OH, and the utilization efficiency of H₂O₂. Therefore, an extraordinarily high degradation and mineralization of the aromatic pollutants was observed

Maternal Retinoids Increase PDGFRα\u3csup\u3e+\u3c/sup\u3e Progenitor Population and Beige Adipogenesis in Progeny by Stimulating Vascular Development

© 2017 The Authors Maternal vitamin A intake varies but its impact on offspring metabolic health is unknown. Here we found that maternal vitamin A or retinoic acid (RA) administration expanded PDGFRα+ adipose progenitor population in progeny, accompanied by increased blood vessel density and enhanced brown-like (beige) phenotype in adipose tissue, protecting offspring from obesity. Blockage of retinoic acid signaling by either BMS493 or negative RA receptor (RARαDN) over-expression abolished the increase in blood vessel density, adipose progenitor population, and beige adipogenesis stimulated by RA. Furthermore, RA-induced beige adipogenesis was blocked following vascular endothelial growth factor receptor (VEGFR) 2 knock out in PDGFRα+ cells, suggesting its mediatory role. Our data reveal an intrinsic link between maternal retinoid level and offspring health via promoting beige adipogenesis. Thus, enhancing maternal retinoids is an amiable therapeutic strategy to prevent obesity in offspring, especially for those born to obese mothers which account for one third of all pregnancies