...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Physical review, C >Analytic structure of thermodynamic systems with repulsive interactions
【24h】

Analytic structure of thermodynamic systems with repulsive interactions

机译：具有排斥相互作用的热力学系统的分析结构

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Thermodynamic properties of systems with repulsive interactions are considered in the grand-canonical ensemble. The analytic structure of the excluded-volume model in the complex plane of the system chemical potential (fugacity) is elaborated, based on the fact that the pressure function can be given in terms of the Lambert W function. Even though the excluded-volume model has no phase transitions at real values of the chemical potential, it does exhibit a branch cut singularity in the complex plane, thus limiting the convergence range of the Taylor expansion in the chemical potential. Close similarities to analytic properties of the other models with repulsive interactions, such as a cluster expansion model, the mean-field model, and the ideal Fermi gas model, are pointed out. As an example, repulsive baryonic interactions in a hadron gas, with a focus on the fugacity/virial and Taylor expansion methods used in lattice QCD, are presented. The asymptotic behavior of the Fourier expansion coefficients in these various models suggests that the singular part of net baryonic density can to leading order be universally expressed in terms of polylogarithms.
机译：在宏伟的集合中考虑了具有排斥相互作用的系统的热力学性质。基于可以在Lambert W功能方面可以给出压力功能的事实，阐述了系统化学电位复杂平面中的排除体积模型的分析结构。即使排斥型模型在化学电位的实际值下没有相位过渡，它确实在复杂平面上表现出分支奇点，因此限制了化学潜力中泰勒膨胀的收敛范围。指出了与排斥相互作用的其他模型的分析性质的相似性，例如集群扩展模型，平均场模型和理想的费米气体模型。作为一个例子，提出了强子气体中的排斥辐射相互作用，重点是晶格QCD中使用的脱脂性/病毒和泰勒膨胀方法。这些各种模型中傅立叶膨胀系数的渐近行为表明，在Polylogarithms的方面，净缩放密度的奇异部分可以普遍表达。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号