论文标题
$μpt$统计合奏:具有波动能量,颗粒数和音量的系统
$μPT$ statistical ensemble: systems with fluctuating energy, particle number, and volume
论文作者
论文摘要
在统计合奏的理论中,所谓的$μpt$集合描述了与周围环境交换能量,颗粒和体积的平衡系统。得出了一般的,与模型无关的特征和粒子数统计的特征。分区函数的非分析点与不同的波动和整体等效性有关。讨论了上述考虑的示例,讨论了量子和经典的理想气体以及具有平均场相互作用的玻色气体模型。
Within the theory of statistical ensemble, the so-called $μPT$ ensemble describes equilibrium systems that exchange energy, particles, and volume with the surrounding. General, model-independent features of volume and particle number statistics are derived. Non-analytic points of the partition function are discussed in connection with divergent fluctuations and ensemble equivalence. Quantum and classical ideal gases, and a model of Bose gas with mean-field interactions are discussed as examples of the above considerations.