论文标题
规范合奏的组合起源
Combinatorial origins of the canonical ensemble
论文作者
论文摘要
Darwin-Fowler方法与最陡峭的下降方法结合使用，是对统计物理学引起的许多模型的渐近描述中的常见工具。在这项工作中，我们宁愿着眼于达尔文 - 福勒程序的非反应行为。通过使用基于钟形多项式的组合方法，我们可以准确地解决它。由于这种方法，我们还显示了典型模型与组合LAH和Stirling数字的关系。
The Darwin-Fowler method in combination with the steepest descent approach is a common tool in the asymptotic description of many models arising from statistical physics. In this work, we focus rather on the non-asymptotic behavior of the Darwin-Fowler procedure. By using a combinatorial approach based on Bell polynomials, we solve it exactly. Due to that approach, we also show relationships of typical models with combinatorial Lah and Stirling numbers.
