Estimation of diffusion time with the Shannon entropy approach Article Swipe
P. M. Cincotta
,
C. Giordano
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1103/physreve.107.064101
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1103/physreve.107.064101
The present work revisits and improves the Shannon entropy approach when applied to the estimation of an instability timescale for chaotic diffusion in multidimensional Hamiltonian systems. This formulation has already been proved efficient in deriving the diffusion timescale in 4D symplectic maps and planetary systems, when the diffusion proceeds along the chaotic layers of the resonance's web. Herein the technique is used to estimate the diffusion rate in the Arnold model, i.e., of the motion along the homoclinic tangle of the so-called guiding resonance for several values of the perturbation parameter such that the overlap of resonances is almost negligible. Thus differently from the previous studies, the focus is fixed on deriving a local timescale related to the speed of an Arnold diffusion-like process. The comparison of the current estimates with determinations of the diffusion time obtained by straightforward numerical integration of the equations of motion reveals a quite good agreement.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1103/physreve.107.064101
- http://link.aps.org/pdf/10.1103/PhysRevE.107.064101
- OA Status
- bronze
- Cited By
- 12
- References
- 30
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4379016201
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- OpenAlex ID
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https://openalex.org/W4379016201Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1103/physreve.107.064101Digital Object Identifier
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Estimation of diffusion time with the Shannon entropy approachWork title
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articleOpenAlex work type
- Language
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enPrimary language
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2023Year of publication
- Publication date
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2023-06-01Full publication date if available
- Authors
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P. M. Cincotta, C. GiordanoList of authors in order
- Landing page
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https://doi.org/10.1103/physreve.107.064101Publisher landing page
- PDF URL
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https://link.aps.org/pdf/10.1103/PhysRevE.107.064101Direct link to full text PDF
- Open access
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YesWhether a free full text is available
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bronzeOpen access status per OpenAlex
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https://link.aps.org/pdf/10.1103/PhysRevE.107.064101Direct OA link when available
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Homoclinic orbit, Statistical physics, Chaotic, Physics, Perturbation (astronomy), Diffusion process, Instability, Diffusion, Hamiltonian system, Classical mechanics, Computer science, Quantum mechanics, Bifurcation, Innovation diffusion, Knowledge management, Artificial intelligence, Nonlinear systemTop concepts (fields/topics) attached by OpenAlex
- Cited by
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12Total citation count in OpenAlex
- Citations by year (recent)
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2025: 5, 2024: 5, 2023: 2Per-year citation counts (last 5 years)
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30Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| referenced_works | https://openalex.org/W1984067731, https://openalex.org/W2088048629, https://openalex.org/W4231317193, https://openalex.org/W2025643081, https://openalex.org/W2754153700, https://openalex.org/W1991978029, https://openalex.org/W1481788716, https://openalex.org/W2046210386, https://openalex.org/W2788247192, https://openalex.org/W2044447274, https://openalex.org/W3178553922, https://openalex.org/W3111617521, https://openalex.org/W3130683089, https://openalex.org/W4304975949, https://openalex.org/W4238915699, https://openalex.org/W2160163816, https://openalex.org/W2791911678, https://openalex.org/W2802907480, https://openalex.org/W3206195342, https://openalex.org/W2134287462, https://openalex.org/W2899496052, https://openalex.org/W2466798591, https://openalex.org/W2136808562, https://openalex.org/W1980372148, https://openalex.org/W3209416867, https://openalex.org/W2061376823, https://openalex.org/W1598573928, https://openalex.org/W3102401830, https://openalex.org/W3099940269, https://openalex.org/W2993383518 |
| referenced_works_count | 30 |
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