关于高能碰撞中无质量粒子的分割温度

IF 2.2 3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Symmetry-Basel Pub Date : 2023-11-08 DOI:10.3390/sym15112035
Wei-Liang Qian, Kai Lin, Rui-Hong Yue, Yogiro Hama, Takeshi Kodama
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引用次数: 0

摘要

虽然用达尔文-福勒方法推导出的分区温度对于简单的情况是精确的,但对于复杂系统的推导可能存在于特定的近似中,如果没有达到热力学极限,则无法确保其可行性。这项工作详细阐述了与相对论高能碰撞有关的一个相关问题。一方面,它足够简单,可以精确地得到单粒子分布函数的封闭表达式。另一方面,所得到的表达式不是指数形式,因此,可以隐含配分函数的概念并不简单。具体地说,我们推导了无质量粒子的单粒子分布函数,其中相空间积分是对由给定数量的粒子组成的底层正则系综精确地进行的。在这种情况下,我们讨论隔板温度的生存能力。本文还讨论了在高能碰撞中观察到的横向动量谱中Tsallis分布的可能含义。
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On the Partition Temperature of Massless Particles in High-Energy Collisions
Although partition temperature derived using the Darwin–Fowler method is exact for simple scenarios, the derivation for complex systems might reside in specific approximations whose viability is not ensured if the thermodynamic limit is not attained. This work elaborates on a related problem relevant to relativistic high-energy collisions. On the one hand, it is simple enough that closed-form expressions can be obtained precisely for the one-particle distribution function. On the other hand, the resulting expression is not an exponential form, and therefore, it is not straightforward that the notion of partition function could be implied. Specifically, we derive the one-particle distribution function for massless particles where the phase-space integration is performed exactly for the underlying canonical ensemble consisting of a given number of particles. We discuss the viability of the partition temperature in this case. Possible implications of the obtained results regarding the observed Tsallis distribution in transverse momentum spectra in high-energy collisions are also addressed.
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来源期刊
Symmetry-Basel
Symmetry-Basel MULTIDISCIPLINARY SCIENCES-
CiteScore
5.40
自引率
11.10%
发文量
2276
审稿时长
14.88 days
期刊介绍: Symmetry (ISSN 2073-8994), an international and interdisciplinary scientific journal, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish their experimental and theoretical research in as much detail as possible. There is no restriction on the length of the papers. Full experimental and/or methodical details must be provided, so that results can be reproduced.
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