Magnetic Effect on Potential Barrier for Nucleosynthesis II

We investigate the impact of magnetic fields on the potential barrier between two interacting nuclei. We addressed this by solving the Boltzmann equation and Maxwell's theory in the presence of a magnetic field, resulting in the determination of magnetized permittivity. Additionally, we derived the magnetized Debye potential, which combines the conventional Debye potential with an additional magnetic component. We then compared the Boltzmann approach with the Debye method. Both methods consistently demonstrate that magnetic fields increase permittivity. This enhanced permittivity leads to a reduction in the potential barrier, consequently increasing the reaction rate for nucleosynthesis. Furthermore, the dependence on temperature and electron density in each approach is consistent. Our findings suggest that magnetized plasmas, which have existed since the Big Bang, have played a crucial role in nucleosynthesis.Comment: This manuscript is a revised version of our previous submission titled 'Magnetic Effect on Potential Barrier. Submitte

An Alternative to Variance: Gini Deviation for Risk-averse Policy Gradient

Restricting the variance of a policy's return is a popular choice in risk-averse Reinforcement Learning (RL) due to its clear mathematical definition and easy interpretability. Traditional methods directly restrict the total return variance. Recent methods restrict the per-step reward variance as a proxy. We thoroughly examine the limitations of these variance-based methods, such as sensitivity to numerical scale and hindering of policy learning, and propose to use an alternative risk measure, Gini deviation, as a substitute. We study various properties of this new risk measure and derive a policy gradient algorithm to minimize it. Empirical evaluation in domains where risk-aversion can be clearly defined, shows that our algorithm can mitigate the limitations of variance-based risk measures and achieves high return with low risk in terms of variance and Gini deviation when others fail to learn a reasonable policy

Functional cooperation of of IL-1β and RGS4 in the brachial plexus avulsion mediated brain reorganization

<p>Abstract</p> <p>Backgrounds</p> <p>There is considerable evidence that central nervous system is continuously modulated by activity, behavior and skill acquisition. This study is to examine the reorganization in cortical and subcortical regions in response to brachial plexus avulsion.</p> <p>Methods</p> <p>Adult C57BL/6 mice were divided into four groups: control, 1, 3 and 6 month of brachial plexus avulsion. IL-1β, IL-6 and RGS4 expression in cortex, brainstem and spinal cord were detected by BiostarM-140 s microarray and real-time PCR. RGS4 subcellular distribution and modulation were further analyzed by primary neuron culture and Western Blot.</p> <p>Results</p> <p>After 1, 3 and 6 months of brachial plexus avulsion, 49 (0 up, 49 down), 29 (17 up, 12 down), 13 (9 up, 4 down) genes in cerebral cortex, 40 (8 up, 32 down), 11 (7 up, 4 down), 137 (63 up, 74 down) in brainstem, 27 (14 up, 13 down), 33 (18 up, 15 down), 60 (29 up, 31 down) in spinal cord were identified. Among the regulated gene, IL-1β and IL-6 were sustainable enhanced in brain stem, while PKACβ and RGS4 were up-regulated throughout cerebral cortex, brainstem and spinal cord in 3 and 6 month of nerve injury. Intriguingly, subcellular distribution of RGS4 in above three regions was dependent on the functional correlation of PKA and IL-1β.</p> <p>Conclusion</p> <p>Data herein indicated that brachial plexus avulsion could efficiently initiate and perpetuate the brain reorganization. Network involved IL-1β and RGS4 signaling might implicate in the re-establish and strengthening of the local circuits at the cortical and subcortical levels.</p

A new study of multi-phase mass and heat transfer in natural gas hydrate reservoir with an embedded discrete fracture model

Acknowledgments The authors are grateful to the National Natural Science Foundation of China (51991365), China Geological Survey Project (No. DD20211350), and Guangdong Major Project of Basic and Applied Basic Research (No. 2020B0301030003).Peer reviewedPublisher PD

Growth of curvature perturbations for PBH formation & detectable GWs in non-minimal curvaton revisited

We revisit the growth of curvature perturbations in non-minimal curvaton scenario with a non-trivial field metric $\lambda(\phi)$ where $\phi$ is an inflaton field, and incorporate the effect from the non-uniform onset of curvaton's oscillation in terms of an axion-like potential. The field metric $\lambda(\phi)$ plays a central role in the enhancement of curvaton field perturbation $\delta\chi$, serving as an effective friction term which can be either positive or negative, depending on the shape of $\lambda(\phi)$, namely the first derivative $\lambda_{,\phi}$. Our analysis reveals that $\delta\chi$ undergoes the superhorizon growth when the condition $\eta_\text{eff} \equiv - 2 \sqrt{2\epsilon} M_\text{Pl} { \lambda_{,\phi} \over \lambda} < -3$ is satisfied. This is analogous to the mechanism responsible for the amplification of curvature perturbations in the context of ultra-slow-roll inflation, namely the growing modes dominate curvature perturbations. As a case study, we examine the impact of a Gaussian dip in $\lambda(\phi)$ and conduct a thorough investigation of both the analytical and numerical aspects of the inflationary dynamics.Our findings indicate that the behavior of the curvaton perturbation during inflation is not solely determined by the depth of the dip in $\lambda(\phi)$. Rather, the shape of the dip also plays a significant role, a feature that has not been previously highlighted in the literature.Utilizing the $\delta \mathcal{N}$ formalism, we derive analytical expressions for both the final curvature power spectrum and the non-linear parameter $f_\text{NL}$ in terms of an axion-like curvaton's potential leading to the non-uniform curvaton's oscillation.Additionally, the resulting primordial black hole abundance and scalar-induced gravitational waves are calculated, which provide observational windows for PBHs.Comment: 23 pages, 9 figure