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arXiv 1012.3400nucl-th
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核与强子系统的物态方程与相变

Equation of State and Phase Transitions in the Nuclear and Hadronic Systems

Kyrill A. Bugaev

摘要:

近四分之一个世纪以来,强相互作用物质状态方程的研究一直是现代高能核物理的主要任务之一。目前的工作是我的科学博士论文,其中包含了我的贡献(42作品),这一领域之间的1993年和2008年。本文主要讨论几种描述核液-气相变和退禁闭相变的精确可解统计模型的共同物理和数学特征。幸运的是,在某些情况下,可以严格地将热力学极限中的解扩展到有限体积,并直接从巨正则配分中制定相的有限体积类似物。事实证明,系统的有限体积(表面)也产生时间约束,即在这个有限系统中可能状态的有限形成/衰减时间。在其他的结果中,我想提到的上和下界的计算内的Hills和Dales模型的物理集群的表面熵;第二维里系数的评估,它占的洛伦兹收缩的硬核之间的强子排斥势;列入大宽度的重夸克胶子袋的统计描述。笔者认为,本文提出的相对论水动力模型和水力级联模型中冻出问题的数学解,不仅具有学术意义,而且具有一定的实用价值。此外,我希望在制定一些部分成功的信号的解除禁闭过渡的经验可以帮助其他研究人员在这个方向上走得更远。

英文摘要:

An investigation of strongly interacting matter equation of state remains one of the major tasks of modern high energy nuclear physics for almost a quarter of century. The present work is my doctor of science thesis which contains my contribution (42 works) to this field made between 1993 and 2008. Inhere I mainly discuss the common physical and mathematical features of several exactly solvable statistical models which describe the nuclear liquid-gas phase transition and the deconfinement phase transition. Luckily, in some cases it was possible to rigorously extend the solutions found in thermodynamic limit to finite volumes and to formulate the finite volume analogs of phases directly from the grand canonical partition. It turns out that finite volume (surface) of a system generates also the temporal constraints, i.e. the finite formation/decay time of possible states in this finite system. Among other results I would like to mention the calculation of upper and lower bounds for the surface entropy of physical clusters within the Hills and Dales model; evaluation of the second virial coefficient which accounts for the Lorentz contraction of the hard core repulsing potential between hadrons; inclusion of large width of heavy quark-gluon bags into statistical description. I believe that the suggested mathematical solution of the freeze-out problem in relativistic hydrodynamic model and in hydro-cascade model has not only an academic interest, but also has some practical value. In addition I hope that the experience gained in working out some partly successful signals of deconfinement transition can be useful for other researchers to go further in this direction.

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。

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