New probability distribution describing emergence in state space
File(s)Pazuki_2021_J._Phys._Commun._5_095002.pdf (887.47 KB)
Published version
Author(s)
Pazuki, Roozbeh
Jensen, Henrik Jeldtoft
Type
Journal Article
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 $n_p$ pairs. We show this distribution satisfies a large deviation principle with speed $n \ln(n)$. We present closed form expressions for a variety of statistical quantities including moments and marginal distributions.
Date Issued
2021-09-02
Date Acceptance
2021-08-19
Citation
Journal of Physics Communications, 2021, 5, pp.1-24
ISSN
2399-6528
Publisher
IOP Publishing
Start Page
1
End Page
24
Journal / Book Title
Journal of Physics Communications
Volume
5
Copyright Statement
© 2021 The Author(s). Published by IOP Publishing Ltd. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Although reasonable endeavours have been taken to obtain all necessary permissions from third parties to include their copyrighted content within this article, their full citation and copyright line may not be present in this Accepted Manuscript version. Before using any content from this article, please refer to the Version of Record on IOPscience once published for full citation and copyright details, as permission may be required. All third party content is fully copyright protected, and is not published on a gold open access basis under a CC BY licence, unless that is specifically stated in the figure caption in the Version of Record.
Although reasonable endeavours have been taken to obtain all necessary permissions from third parties to include their copyrighted content within this article, their full citation and copyright line may not be present in this Accepted Manuscript version. Before using any content from this article, please refer to the Version of Record on IOPscience once published for full citation and copyright details, as permission may be required. All third party content is fully copyright protected, and is not published on a gold open access basis under a CC BY licence, unless that is specifically stated in the figure caption in the Version of Record.
License URL
Identifier
https://iopscience.iop.org/article/10.1088/2399-6528/ac1f74
Subjects
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
complex systems
statistics of emergence
recursive state space
coins pairing model
balls pairing model
cond-mat.stat-mech
cond-mat.stat-mech
Publication Status
Published
Date Publish Online
2021-09-02