4.6 Article

The Fundamental Equations of Change in Statistical Ensembles and Biological Populations

期刊

ENTROPY
卷 22, 期 12, 页码 -

出版社

MDPI
DOI: 10.3390/e22121395

关键词

thermodynamics; information theory; natural selection; evolutionary dynamics; Price equation; interdisciplinary unification

资金

  1. Donald Bren Foundation
  2. National Science Foundation [DEB-1939423]
  3. DoD [W911NF2010227]
  4. U.S. Department of Defense (DOD) [W911NF2010227] Funding Source: U.S. Department of Defense (DOD)

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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.

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