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Autori principali: Cao, Wenfu, Huang, Yang, Zhang, Hongsheng
Natura: Preprint
Pubblicazione: 2024
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Accesso online:https://arxiv.org/abs/2412.16931
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author Cao, Wenfu
Huang, Yang
Zhang, Hongsheng
author_facet Cao, Wenfu
Huang, Yang
Zhang, Hongsheng
contents We propose the concept of mutual information for particle pair (MIPP) in curved spacetime, and show that MIPP has potential to be a proper chaos indicator. We tested this method in the Schwarzschild and Kerr spacetime and compared it with the fast Lyapunov indicator. The results show that the MIPP effectively identify orbital states and demonstrates prominent performance in recognizing transitions between orbital states. Our result show that information theory significantly deepen our understanding of dynamics of few-body system.
format Preprint
id arxiv_https___arxiv_org_abs_2412_16931
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime
Cao, Wenfu
Huang, Yang
Zhang, Hongsheng
General Relativity and Quantum Cosmology
We propose the concept of mutual information for particle pair (MIPP) in curved spacetime, and show that MIPP has potential to be a proper chaos indicator. We tested this method in the Schwarzschild and Kerr spacetime and compared it with the fast Lyapunov indicator. The results show that the MIPP effectively identify orbital states and demonstrates prominent performance in recognizing transitions between orbital states. Our result show that information theory significantly deepen our understanding of dynamics of few-body system.
title Mutual Information for particle pair and its application to diagnose Chaos in Curved Spacetime
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2412.16931