Analogy between equilibrium beach profiles and closed universes
Geophysics
2019-10-09 v1 General Relativity and Quantum Cosmology
Abstract
We reformulate the variational problem describing equilibrium beach profiles in the thermodynamic approach of Jenkins and Inman. A first integral of the resulting Euler-Lagrange equation coincides formally with the Friedmann equation ruling closed universes in relativistic cosmology, leading to a useful analogy. Using the machinery of Friedmann-Lema\^{\i}tre-Robertson-Walker cosmology, qualitative properties and analytic solutions of beach profiles, which are the subject of a controversy, are elucidated.
Keywords
Cite
@article{arxiv.1909.02654,
title = {Analogy between equilibrium beach profiles and closed universes},
author = {Valerio Faraoni},
journal= {arXiv preprint arXiv:1909.02654},
year = {2019}
}
Comments
To appear in Phys. Rev. Research