New probability distribution describing emergence in state space
Statistical Mechanics
2021-08-18 v2
Abstract
We revisit the pairing model of state spaces with new emergent states introduced in J. Phys. A: Math. Theor. 51 375002, 2018. We facilitate our analysis by introducing a simplified pairing model consisting of balls able to form pairs but without any internal structure. For both the simplified and the original model we compute exactly the probability distribution for observing a state with pairs. We show this distribution satisfies a large deviation principle with speed . We present closed form expressions for a variety of statistical quantities including moments and marginal distributions.
Cite
@article{arxiv.2105.01997,
title = {New probability distribution describing emergence in state space},
author = {Roozbeh H. Pazuki and Henrik Jeldtoft Jensen},
journal= {arXiv preprint arXiv:2105.01997},
year = {2021}
}