Scaling relations are important in extrapolating laboratory experiments to the Earth’s mantle. In planetary interiors, compression becomes an important parameter and it is useful to explore scalings that involve volu...Scaling relations are important in extrapolating laboratory experiments to the Earth’s mantle. In planetary interiors, compression becomes an important parameter and it is useful to explore scalings that involve volume. I use sim- ple volume scaling relations that allow one to extrapolate laboratory experiments and upper mantle behavior, in a thermodynamically self-consistent way, to predict lower mantle behavior. The relations are similar to the quasi-har- monic approximation. Slabs and plates have characteristic dimensions of hundreds of kilometers and time constants of 100 million years, but the volume scalings predict order of magnitude higher values in the deep mantle. The scaling relations imply that the deep mantle is a sluggish system with ancient features. They imply irreversible chemical stratifica- tion and do not favor the plume hypothesis.展开更多
In the paper, we apply the weak gravity conjecture to the holographic quintessence model of dark energy. Three different holographic dark energy models are considered： without the interaction in the non-fiat universe...In the paper, we apply the weak gravity conjecture to the holographic quintessence model of dark energy. Three different holographic dark energy models are considered： without the interaction in the non-fiat universe; with interaction in the fiat universe; with interaction in the non-fiat universe. We tlnd that only in the models with the spatial curvature and interaction term proportional to the energy density of matter, it is possible for the weak gravity conjecture to be satisfied. And it seems that the weak gravity conjecture favors an open universe and the decaying of matter into dark energy.展开更多
文摘Scaling relations are important in extrapolating laboratory experiments to the Earth’s mantle. In planetary interiors, compression becomes an important parameter and it is useful to explore scalings that involve volume. I use sim- ple volume scaling relations that allow one to extrapolate laboratory experiments and upper mantle behavior, in a thermodynamically self-consistent way, to predict lower mantle behavior. The relations are similar to the quasi-har- monic approximation. Slabs and plates have characteristic dimensions of hundreds of kilometers and time constants of 100 million years, but the volume scalings predict order of magnitude higher values in the deep mantle. The scaling relations imply that the deep mantle is a sluggish system with ancient features. They imply irreversible chemical stratifica- tion and do not favor the plume hypothesis.
基金Supported by the Natural Science Foundation of the Northwest University of China under Grant No. NS0927
文摘In the paper, we apply the weak gravity conjecture to the holographic quintessence model of dark energy. Three different holographic dark energy models are considered： without the interaction in the non-fiat universe; with interaction in the fiat universe; with interaction in the non-fiat universe. We tlnd that only in the models with the spatial curvature and interaction term proportional to the energy density of matter, it is possible for the weak gravity conjecture to be satisfied. And it seems that the weak gravity conjecture favors an open universe and the decaying of matter into dark energy.
