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arXiv 0707.2245hep-ph
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高能核碰撞的唯象学考虑

Some phenomenological considerations on the nuclear collisions at high energies

I. V. Grossu, C. Besliu, Al. Jipa, D. Felea, C. C. Bordeianu

摘要:

本文给出了应用混沌理论对一个三维相对论多体夸克系统进行数值研究的结果。通过在双粒子势中引入调和项,引入了渐近自由性质。在这种情况下,我们也使用了半经典研究的结果,适用于核子的夸克成分。取决于初始温度参数,系统可以向振荡或膨胀状态演化。重要的是要注意一个过渡区,其特征是部分破碎(更高的有序度)。这种效应可以在临界温度附近观察到,并且与部分克服势垒(对应于离系统最远的粒子)有关。在香农熵的基础上,利用图论定义了破碎度。为了分析一个相对论多体系统的膨胀趋势,我们还采用了维里系数。

英文摘要:

We present some results obtained by applying the chaos theory on the numerical study of one threedimensional, relativistic, many-body quark system. The asymptotic freedom property is introduced by employing a harmonic term in the bi-particle potential. In this context, we used also the outcome of a semiclassical study, applied to the quark constituents of nucleons. Depending on the initial temperature parameter, the system can evolve toward an oscillating or an expansion regime. It is important to notice also a transition region, characterized by a partial fragmentation (higher degree of order). This effect can be observed near the critical temperature and is related to the partial overcoming of the potential barrier (corresponding to the farthest particles from the system). The degree of fragmentation is defined on the Shannon entropy basis and using the graphs theory. For analyzing the expansion tendency of one relativistic many-body system, we employed also the virial coefficient.

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