Bali's ancient rice terraces : a hamiltonian approach
We propose a Hamiltonian approach to reproduce the relevant elements of the centuries-old Subak irrigation system in Bali, showing a cluster-size distribution of rice-field patches that is a power-law with an exponent of ∼2. Besides this exponent, the resulting system presents two equilibria. The fi...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/153660 |
| _version_ | 1826113969781211136 |
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| author | Gandica, Yérali Lansing, J. Stephen Chung, Ning Ning Thurner, Stefan Chew, Lock Yue |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Gandica, Yérali Lansing, J. Stephen Chung, Ning Ning Thurner, Stefan Chew, Lock Yue |
| author_sort | Gandica, Yérali |
| collection | NTU |
| description | We propose a Hamiltonian approach to reproduce the relevant elements of the centuries-old Subak irrigation system in Bali, showing a cluster-size distribution of rice-field patches that is a power-law with an exponent of ∼2. Besides this exponent, the resulting system presents two equilibria. The first originates from a balance between energy and entropy contributions. The second arises from the specific energy contribution through a local Potts-type interaction in combination with a long-range antiferromagnetic interaction without attenuation. Finite-size scaling analysis shows that, as a result of the second equilibrium, the critical transition balancing energy and entropy contributions at the Potts (local ferromagnetic) regime is absorbed by the transition driven by the global-antiferromagnetic interactions, as the system size increases. The phase transition balancing energy and entropy contributions at the global-antiferromagnetic regime also shows signs of criticality. Our study extends the Hamiltonian framework to a new domain of coupled human-environmental interactions. |
| first_indexed | 2024-10-01T03:31:53Z |
| format | Journal Article |
| id | ntu-10356/153660 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:31:53Z |
| publishDate | 2021 |
| record_format | dspace |
| spelling | ntu-10356/1536602023-02-28T19:53:06Z Bali's ancient rice terraces : a hamiltonian approach Gandica, Yérali Lansing, J. Stephen Chung, Ning Ning Thurner, Stefan Chew, Lock Yue School of Physical and Mathematical Sciences Data Science and Artificial Intelligence Research Centre Science::Physics Antiferromagnetism Hamiltonians We propose a Hamiltonian approach to reproduce the relevant elements of the centuries-old Subak irrigation system in Bali, showing a cluster-size distribution of rice-field patches that is a power-law with an exponent of ∼2. Besides this exponent, the resulting system presents two equilibria. The first originates from a balance between energy and entropy contributions. The second arises from the specific energy contribution through a local Potts-type interaction in combination with a long-range antiferromagnetic interaction without attenuation. Finite-size scaling analysis shows that, as a result of the second equilibrium, the critical transition balancing energy and entropy contributions at the Potts (local ferromagnetic) regime is absorbed by the transition driven by the global-antiferromagnetic interactions, as the system size increases. The phase transition balancing energy and entropy contributions at the global-antiferromagnetic regime also shows signs of criticality. Our study extends the Hamiltonian framework to a new domain of coupled human-environmental interactions. Nanyang Technological University Published version Computational resources have been provided by the Consortium des ´equipements de Calcul Intensif (CECI), funded by the Fonds de la Recherche Scientifique de Belgique (F.R.S.-FNRS) under Grant No. 2.5020.11. Y. G. thanks the Visiting Fellowship provided by the Complexity Institute at NTU and thanks Ismardo Bonalde, Silvia Chiacchiera, Bertrand Berche, Petter Holme, and Ernesto Medina for helpful discussions 2021-12-13T05:46:47Z 2021-12-13T05:46:47Z 2021 Journal Article Gandica, Y., Lansing, J. S., Chung, N. N., Thurner, S. & Chew, L. Y. (2021). Bali's ancient rice terraces : a hamiltonian approach. Physical Review Letters, 127(16), 168301-. https://dx.doi.org/10.1103/PhysRevLett.127.168301 0031-9007 https://hdl.handle.net/10356/153660 10.1103/PhysRevLett.127.168301 34723574 2-s2.0-85117410825 16 127 168301 en Physical Review Letters © 2021 American Physical Society. All rights reserved. This paper was published in Physical Review Letters and is made available with permission of American Physical Society. application/pdf |
| spellingShingle | Science::Physics Antiferromagnetism Hamiltonians Gandica, Yérali Lansing, J. Stephen Chung, Ning Ning Thurner, Stefan Chew, Lock Yue Bali's ancient rice terraces : a hamiltonian approach |
| title | Bali's ancient rice terraces : a hamiltonian approach |
| title_full | Bali's ancient rice terraces : a hamiltonian approach |
| title_fullStr | Bali's ancient rice terraces : a hamiltonian approach |
| title_full_unstemmed | Bali's ancient rice terraces : a hamiltonian approach |
| title_short | Bali's ancient rice terraces : a hamiltonian approach |
| title_sort | bali s ancient rice terraces a hamiltonian approach |
| topic | Science::Physics Antiferromagnetism Hamiltonians |
| url | https://hdl.handle.net/10356/153660 |
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