dorsal/arxiv
View SchemaNonequilibrium Statistical Mechanics and Thermodynamics from Darwinian Dynamics: a Primer
| Authors | P. Ao |
|---|---|
| Categories | |
| ArXiv ID | physics/0512252 |
| URL | https://arxiv.org/abs/physics/0512252 |
Abstract
We present here an exploration on on the physical implications of the Darwinian dynamics. We first show that how the nonequilibrium statistical mechanics emerges naturally. We then show that the first three laws of the thermodynamics, the Zeroth Law, the First Law and the Second Law can be followed from the Darwinian dynamics, except the Third Law. The inability to derive the Third Law indicates that the Darwinian dynamics belongs to the "classical" domain. Specifically, the Second Law is proved from the dynamical point of view. Two types of current dynamical equalities are explicitly discussed in the paper: one is based on Feynman-Kac formula and one is a generalization of the Einstein relation. Both are directly accessible to experimental tests. Our demonstration indicates that the Darwinian dynamics is logically a simple and straightforward starting point to get into thermodynamics and is complementary to the conservative dynamics dominated in physics.
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"abstract": "We present here an exploration on on the physical implications of the\nDarwinian dynamics. We first show that how the nonequilibrium statistical\nmechanics emerges naturally. We then show that the first three laws of the\nthermodynamics, the Zeroth Law, the First Law and the Second Law can be\nfollowed from the Darwinian dynamics, except the Third Law. The inability to\nderive the Third Law indicates that the Darwinian dynamics belongs to the\n\"classical\" domain. Specifically, the Second Law is proved from the dynamical\npoint of view. Two types of current dynamical equalities are explicitly\ndiscussed in the paper: one is based on Feynman-Kac formula and one is a\ngeneralization of the Einstein relation. Both are directly accessible to\nexperimental tests. Our demonstration indicates that the Darwinian dynamics is\nlogically a simple and straightforward starting point to get into\nthermodynamics and is complementary to the conservative dynamics dominated in\nphysics.",
"arxiv_id": "physics/0512252",
"authors": [
"P. Ao"
],
"categories": [
"physics.class-ph",
"physics.bio-ph"
],
"title": "Nonequilibrium Statistical Mechanics and Thermodynamics from Darwinian Dynamics: a Primer",
"url": "https://arxiv.org/abs/physics/0512252"
},
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