摘要翻译:
Walecka多体场理论是在量子非扩展统计力学的背景下研究的,其特征是一个无量纲参数q$。我们考虑用幂律分布来统计描述核物质,它推广了标准的费米-狄拉克分布($q=1$)。我们发现,由于非扩展效应($q\neq1$),标量和矢量介子场变得更强。通过数值处理,我们还表明,随着非扩展参数q$的增大,核子有效质量减小,状态方程变得更加僵硬。最后,对于温度在14MeV$<K_BT<$20MeV范围内的等温线,通常的麦克斯韦结构似乎是不必要的。
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英文标题:
《Nonextensive effects on the relativistic nuclear equation of state》
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作者:
F.I.M. Pereira, R. SIlva, J.S. Alcaniz
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Nuclear Theory 核理论
分类描述:Nuclear Theory Theory of nuclear structure covering wide area from models of hadron structure to neutron stars. Nuclear equation of states at different external conditions. Theory of nuclear reactions including heavy-ion reactions at low and high energies. It does not include problems of data analysis, physics of nuclear reactors, problems of safety, reactor construction
核理论涵盖从强子结构模型到中子星等广泛领域的核结构理论。不同外部条件下的核状态方程。核反应理论,包括低能和高能的重离子反应。它不包括数据分析问题、核反应堆物理问题、安全问题、反应堆建设问题
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一级分类:Physics 物理学
二级分类:Nuclear Theory 核理论
分类描述:Nuclear Theory Theory of nuclear structure covering wide area from models of hadron structure to neutron stars. Nuclear equation of states at different external conditions. Theory of nuclear reactions including heavy-ion reactions at low and high energies. It does not include problems of data analysis, physics of nuclear reactors, problems of safety, reactor construction
核理论涵盖从强子结构模型到中子星等广泛领域的核结构理论。不同外部条件下的核状态方程。核反应理论,包括低能和高能的重离子反应。它不包括数据分析问题、核反应堆物理问题、安全问题、反应堆建设问题
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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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.
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PDF链接:
https://arxiv.org/pdf/705.03