Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/153660
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dc.contributor.authorGandica, Yéralien_US
dc.contributor.authorLansing, J. Stephenen_US
dc.contributor.authorChung, Ning Ningen_US
dc.contributor.authorThurner, Stefanen_US
dc.contributor.authorChew, Lock Yueen_US
dc.date.accessioned2021-12-13T05:46:47Z-
dc.date.available2021-12-13T05:46:47Z-
dc.date.issued2021-
dc.identifier.citationGandica, 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.127.168301en_US
dc.identifier.issn0031-9007en_US
dc.identifier.urihttps://hdl.handle.net/10356/153660-
dc.description.abstractWe 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.en_US
dc.description.sponsorshipNanyang Technological Universityen_US
dc.language.isoenen_US
dc.relation.ispartofPhysical Review Lettersen_US
dc.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.en_US
dc.subjectScience::Physicsen_US
dc.titleBali's ancient rice terraces : a hamiltonian approachen_US
dc.typeJournal Articleen
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen_US
dc.contributor.researchData Science and Artificial Intelligence Research Centreen_US
dc.identifier.doi10.1103/PhysRevLett.127.168301-
dc.description.versionPublished versionen_US
dc.identifier.pmid34723574-
dc.identifier.scopus2-s2.0-85117410825-
dc.identifier.issue16en_US
dc.identifier.volume127en_US
dc.identifier.spage168301en_US
dc.subject.keywordsAntiferromagnetismen_US
dc.subject.keywordsHamiltoniansen_US
dc.description.acknowledgementComputational 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 discussionsen_US
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