arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0705.0300nucl-thastro-phcond-mat.stat-mech
收藏

相对论性核物质状态方程的非广延效应

Nonextensive effects on the relativistic nuclear equation of state

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

摘要:

在量子非广延统计力学的背景下研究了Walecka多体场论,其特征在于无量纲参数$q$。我们考虑核物质的统计描述的幂律分布,推广了标准的费米-狄拉克分布($q = 1$)。我们发现由于非广延效应($q \neq 1$),标量和矢量介子场变得更强。通过数值计算,我们还表明,随着非广延参数$q$的增加,核子有效质量减小,状态方程变硬。最后,通常的麦克斯韦建设似乎是没有必要的等温线的范围内的温度为14兆电子伏$<k_BT<$ 20兆电子伏。

英文摘要:

The Walecka many-body field theory is investigated in the context of quantum nonextensive statistical mechanics, characterized by a dimensionless parameter $q$. We consider nuclear matter described statistically by a power-law distribution which generalizes the standard Fermi-Dirac distribution ($q = 1$). We show that the scalar and vector meson fields become more intense due to the nonextensive effects ($q \neq 1$). From a numerical treatment, we also show that as the nonextensive parameter $q$ increases, the nucleon effective mass diminishes and the equation of state becomes stiffer. Finally, the usual Maxwell construction seems not to be necessary for isotherms with temperatures in the range 14 Mev$<k_BT<$20 MeV.

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。

↑