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Title: Bali's ancient rice terraces : a hamiltonian approach
Authors: Gandica, Yérali
Lansing, J. Stephen
Chung, Ning Ning
Thurner, Stefan
Chew, Lock Yue
Keywords: Science::Physics
Issue Date: 2021
Source: 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-.
Journal: Physical Review Letters
Abstract: 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.
ISSN: 0031-9007
DOI: 10.1103/PhysRevLett.127.168301
Rights: © 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.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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