Natural selection for least action

By Ville R. I. Kaila, A. Annila. Proceedings of the Royal Society A, 2008

142 citations recorded by the source corpus.

The second law of thermodynamics is a powerful imperative that has acquired several expressions during the past centuries. Connections between two of its most prominent forms, i.e. the evolutionary principle by natural selection and the principle of least action, are examined. Although no fundamentally new findings are provided, it is illuminating to see how the two principles rationalizing natural motions reconcile to one law. The second law, when written as a differential equation of motion, describes evolution along the steepest descents in energy and, when it is given in its integral form, the motion is pictured to take place along the shortest paths in energy. In general, evolution is a non-Euclidian energy density landscape in flattening motion.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/98f9493ef3c3793ceff0a0f7094b800c00a704f3

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In Astronomy and Astrophysics

  1. Alexander A. Fingelkurts
  2. Carlos F. H. Neves

In Statistical and Nonlinear Physics

  1. Alexander A. Fingelkurts
  2. Carlos F. H. Neves

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