We calculate the electrical and thermal conductivity of hydrogen for a wide range of densities and temperatures by using molecular dynamics simulations informed by density functional theory.On the basis of the corresp...We calculate the electrical and thermal conductivity of hydrogen for a wide range of densities and temperatures by using molecular dynamics simulations informed by density functional theory.On the basis of the corresponding extended ab initio data set,we construct interpolation formulas covering the range from low-density,high-temperature to high-density,low-temperature plasmas.Our conductivity model repro-duces the well-known limits of the Spitzer and Ziman theory.We compare with available experimental data andfind very good agreement.The new conductivity model can be applied,for example,in dynamo simulations for magneticfield generation in gas giant planets,brown dwarfs,and stellar envelopes.展开更多
In this paper,we consider the estimators of distribution function and hazard rate for censored survival time.First,some properties and inequalities are established for linearly extended negative quadrant-dependent seq...In this paper,we consider the estimators of distribution function and hazard rate for censored survival time.First,some properties and inequalities are established for linearly extended negative quadrant-dependent sequence as auxiliary results.Then by applying the properties and inequalities,we investigate the strong consistency and strong representation for the Kaplan–Meier estimator and hazard rate estimator with censored linearly extended negative quadrant-dependent data.Under some mild conditions,wederive that the rates of strong consistency are near O(n^(-1/2)log^(1/2)n)and also obtain the strong representations with the remainder of order O(n^(-1/2)log^(1/2)n).The results established here extend and generalize the corresponding ones in recent literature.展开更多
基金supported by the Priority Program SPP 1992 of the German Science Foundation(DFG)The Diversity of Exoplanets under project number 362460292.
文摘We calculate the electrical and thermal conductivity of hydrogen for a wide range of densities and temperatures by using molecular dynamics simulations informed by density functional theory.On the basis of the corresponding extended ab initio data set,we construct interpolation formulas covering the range from low-density,high-temperature to high-density,low-temperature plasmas.Our conductivity model repro-duces the well-known limits of the Spitzer and Ziman theory.We compare with available experimental data andfind very good agreement.The new conductivity model can be applied,for example,in dynamo simulations for magneticfield generation in gas giant planets,brown dwarfs,and stellar envelopes.
基金supported by the National Natural Science Foundation of China[Grant Number 12161075]Jiangxi Provincial Natural Science Foundation[Grant Number 20212ACB201006]Natural Science Foundation of Guangdong Province[Grant Number 2022A1515010978].
文摘In this paper,we consider the estimators of distribution function and hazard rate for censored survival time.First,some properties and inequalities are established for linearly extended negative quadrant-dependent sequence as auxiliary results.Then by applying the properties and inequalities,we investigate the strong consistency and strong representation for the Kaplan–Meier estimator and hazard rate estimator with censored linearly extended negative quadrant-dependent data.Under some mild conditions,wederive that the rates of strong consistency are near O(n^(-1/2)log^(1/2)n)and also obtain the strong representations with the remainder of order O(n^(-1/2)log^(1/2)n).The results established here extend and generalize the corresponding ones in recent literature.
