Maximum entropy distribution and closure for Bose-Einstein and Fermi-Dirac radiation transport
Maximum entropy distribution and closure for Bose-Einstein and Fermi-Dirac radiation transport
复制标题
玻色-爱因斯坦和费米-狄拉克辐射传输的最大熵分布和闭合
DOI：
10.1086/174640
复制
发表时间：
1994
期刊：
影响因子：
--
通讯作者：
S. Bludman
中科院分区：
文献类型：
--
作者：
J. Černohorský;S. Bludman
从最大熵分布出发，推导并研究了Wi-thout近似下的可变Eddington因子.建立了经典麦克斯韦-玻尔兹曼、玻色-爱因斯坦和费米-狄拉克辐射的统一形式。在经典简并极限和极端简并极限中，最大熵闭包受以前已知的可变爱丁顿因子的限制，这些可变爱丁顿因子仅依赖于通量：Levermore-Pomraning闭合用于极端简并的玻色辐射，Minerbo的通量限制器用于任一量子统计的Boltzmann极限。对于中间简并，最大熵闭合依赖于占据密度和磁通。费米-狄拉克最大熵变量爱丁顿因子具有标度不变性，这导致了费米子辐射的一个简单的解析闭合。这个费米-狄拉克变量的爱丁顿因子与蒙特卡罗中微子在中子星形成早期的输运闭合很好地吻合。
\• Ve derive and study the variable Eddington factors following wi· thout approximation from the maximum entropy distribution. A unified formalism is developed for classical Maxwell-Boltzmann, Bose-Einstein, and Fermi-Dirac radiation. In the classical and extreme degenerate limits the maximum entropy closure is bounded by previously known variable Eddington factors that depend only on the flux: the Levermore-Pomraning closure for extremely degenerate Bose radiation, and Minerbo's flux-limiter for the Boltzmann limit of either quantum statistics. For intermediate degeneracy, the maximum entropy closure depends on both the occupation density and the flux. The Fermi-Dirac maximum entropy variable Eddington factor exhibits scale invariance, which leads to a simple, analytic closure for fermion radiation. This Fermi-Dirac variable Eddington factor agrees well with Monte Carlo neutrino transport closures during early stages of neutron star formation.