论文标题
统计合奏和生物种群变化的基本方程
The fundamental equations of change in statistical ensembles and biological populations
论文作者
论文摘要
自然物理学统一关键的最新文章来自热力学，统计和信息理论。统一来自系统信息内容的变化率的通用方程。一般方程式描述了概率分布的可观察数量矩的变化。等式中的一个术语描述了概率分布的变化。另一个术语描述了给定状态的可观察值的变化。我们显示了该通用方程式对于矩动态的等效性与以乔治·普莱斯（George Price）命名的进化论的广泛已知的价格方程式。我们从其生物根中介绍了价格方程式，回顾了方程式的数学抽象形式，并讨论了该方程式从不同学科统一多种数学理论的潜力。自然物理学和生物学中的许多应用中的新作品表明，该方程式还为在每个学科中得出许多新颖的理论结果提供了基础。
A recent article in Nature Physics unified key results from thermodynamics, statistics, and information theory. The unification arose from a general equation for the rate of change in the information content of a system. The general equation describes the change in the moments of an observable quantity over a probability distribution. One term in the equation describes the change in the probability distribution. The other term describes the change in the observable values for a given state. We show the equivalence of this general equation for moment dynamics with the widely known Price equation from evolutionary theory, named after George Price. We introduce the Price equation from its biological roots, review a mathematically abstract form of the equation, and discuss the potential for this equation to unify diverse mathematical theories from different disciplines. The new work in Nature Physics and many applications in biology show that this equation also provides the basis for deriving many novel theoretical results within each discipline.
