Competition and the canonical ensemble
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Updated: Nov 4, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
1Department of Mathematics, Iowa State University, Ames 50011, USA.
Abstract:
Gibbs' canonical ensemble model from equilibrium statistical mechanics furnishes solutions to Eigen's phenomenological rate equations under constant total organization in cases with or without mutability. The evolution of species with mutation under constant total organization reduces to the evolution of substantial virtual species without mutation under the same constant total organization. Application of the canonical ensemble model provides an exact correspondence between thermodynamic and biological parameters. In particular, evolutionary time, as the analog of temperature, emerges as a statistical aggregate of the condition of the evolving system.
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