Faraoni Valerio, Atieh Farah, Dussault Steve
Department of Physics and Astronomy, Bishop's University, 2600 College Street, Sherbrooke, Quebec J1M 1Z7 Canada.
Eur Phys J C Part Fields. 2020;80(8):706. doi: 10.1140/epjc/s10052-020-8292-0. Epub 2020 Aug 6.
A formal analogy between the Friedmann equation of relativistic cosmology and models of convective-radiative cooling/heating of a body (including Newton's, Dulong-Petit's, Newton-Stefan's laws, and a generalization) is discussed. The analogy highlights Lagrangians, symmetries, and mathematical properties of the solutions of these cooling laws.
讨论了相对论宇宙学的弗里德曼方程与物体对流 - 辐射冷却/加热模型（包括牛顿定律、杜隆 - 珀蒂定律、牛顿 - 斯特藩定律及其推广）之间的形式类比。该类比突出了这些冷却定律解的拉格朗日量、对称性和数学性质。
