arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0902.2383nucl-thastro-ph.HEcond-mat.stat-mechnucl-ex
收藏

非高斯统计与相对论性核物质状态方程

Non-gaussian statistics and the relativistic nuclear equation of state

F. I. M. Pereira, R. Silva, J. S. Alcaniz

摘要:

在Walecka量子强子动力学理论的背景下,我们研究了量子幂律统计力学对相对论性核物质状态方程的可能影响。通过考虑Kaniadakis非高斯统计,用指数$κ$(Boltzmann-Gibbs熵在极限$κ\to 0$中恢复)表征,我们证明了标量和矢量介子场由于非高斯统计效应($κ\neq 0$)而变得更强.通过解析处理,得到了$κ$($κ< 1/4$)的一个上界,并指出随着参数$κ$的增大,核子有效质量减小,状态方程变硬.在核物质的相变和$κ$参数之间的可能的连接进行了大量的讨论。

英文摘要:

We investigate possible effects of quantum power-law statistical mechanics on the relativistic nuclear equation of state in the context of the Walecka quantum hadrodynamics theory. By considering the Kaniadakis non-Gaussian statistics, characterized by the index $κ$ (Boltzmann-Gibbs entropy is recovered in the limit $κ\to 0$), we show that the scalar and vector meson fields become more intense due to the non-Gaussian statistical effects ($κ\neq 0$). From an analytical treatment, an upper bound on $κ$ ($κ< 1/4$) is found. We also show that as the parameter $κ$ increases the nucleon effective mass diminishes and the equation of state becomes stiffer. A possible connection between phase transitions in nuclear matter and the $κ$-parameter is largely discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑