Thermodynamics of prebiotic synthesis

Michael Grayson

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arXiv · 2411.04272

Thermodynamics of prebiotic synthesis

Michael Grayson

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Abstract

In this paper, I outline the correspondence of vector partitions with the combinatorics of dynamical systems whose states are partitions of multisets. I use the notion of a limiting shape of vector partitions to determine properties of the equilibrium distribution for these systems. I investigate prebiotic systems as ergodic series of chemical reactions as an example. I determine under what conditions long polymers of RNA are favorable at equilibrium using the limit shape of the vector partitions.

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Michael Grayson. 2024-11-06. Thermodynamics of prebiotic synthesis. https://arxiv.org/abs/2411.04272

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