{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,5]],"date-time":"2026-05-05T13:28:31Z","timestamp":1777987711904,"version":"3.51.4"},"reference-count":56,"publisher":"AIP Publishing","issue":"5","funder":[{"name":"J. C. Bose Fellowship","award":["JCB\/2018\/000034\/SSC"],"award-info":[{"award-number":["JCB\/2018\/000034\/SSC"]}]},{"name":"I.O.E Research Initiatives, Govt. of India","award":["SP\/22-23\/ 1222\/ CPETWOCTSHOC"],"award-info":[{"award-number":["SP\/22-23\/ 1222\/ CPETWOCTSHOC"]}]}],"content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2026,5,1]]},"abstract":"<jats:p>Turbulent reacting flows confined to ducts are plagued by thermoacoustic instability, a state in which a positive feedback between flow, flame, and acoustic perturbations leads to the emergence of catastrophically high-amplitude oscillatory dynamics in the sound and global heat release rate fluctuations. Modeling the interdependence between local interactions and the global emergence of order in such spatially extended complex systems is exacting. Here, we present a novel reduced-order model to capture the influence of the local interactions on distinct variables exhibiting global emergence of order in a turbulent reacting flow system. We represent each variable that exhibits global oscillatory instability as an oscillator with a cubic nonlinearity. The oscillator is driven by a forcing term that represents the holistic influence of the inter-subsystem interactions on the global behavior. The forcing term essentially couples the local interactions and the globally emergent dynamics in the model. Further, the influence of the inter-subsystem interactions on the behavior of each subsystem is different. Therefore, we use different forcing terms for each variable inspired by the physical interactions in the system. The nonlinear oscillators representing the acoustic and the heat release rate oscillations are hence forced using Wiener and Markov-modulated Poisson processes, respectively. Using this approach, we are able to reproduce (i) the multifractal characteristics of acoustic pressure fluctuations during chaotic dynamics, (ii) the loss of multifractality through the experimentally observed scaling law behavior during the transition from chaos to order, and (iii) the emergence of periodicity and bifurcation in heat release rate dynamics.<\/jats:p>","DOI":"10.1063\/5.0313251","type":"journal-article","created":{"date-parts":[[2026,5,5]],"date-time":"2026-05-05T12:53:10Z","timestamp":1777985590000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":0,"title":["Modeling the influence of interactions on different variables in a turbulent thermoacoustic system"],"prefix":"10.1063","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0009-0009-4675-1946","authenticated-orcid":false,"given":"Aneesh","family":"Srivatsa","sequence":"first","affiliation":[{"name":"Centre of Excellence for studying Critical Transitions in Complex Systems, Indian Institute of Technology Madras 1 , Chennai 600036,","place":["India"]},{"name":"Department of Aerospace Engineering, Indian Institute of Technology Madras 2 , Chennai 600036,","place":["India"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4184-4387","authenticated-orcid":false,"given":"Shruti","family":"Tandon","sequence":"additional","affiliation":[{"name":"Centre of Excellence for studying Critical Transitions in Complex Systems, Indian Institute of Technology Madras 1 , Chennai 600036,","place":["India"]},{"name":"Department of Aerospace Engineering, Indian Institute of Technology Madras 2 , Chennai 600036,","place":["India"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0000-0129-4870","authenticated-orcid":false,"given":"Andrea","family":"Elizabeth Biju","sequence":"additional","affiliation":[{"name":"Centre of Excellence for studying Critical Transitions in Complex Systems, Indian Institute of Technology Madras 1 , Chennai 600036,","place":["India"]},{"name":"Department of Aerospace Engineering, Indian Institute of Technology Madras 2 , Chennai 600036,","place":["India"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1437-7039","authenticated-orcid":false,"given":"Norbert","family":"Marwan","sequence":"additional","affiliation":[{"name":"Potsdam Institute for Climate Impact Research (PIK), Member of the Leibniz Association 3 , 14412 Potsdam,","place":["Germany"]},{"name":"Institute of Geosciences, University of Potsdam 4 , Potsdam 14476,","place":["Germany"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5926-4276","authenticated-orcid":false,"given":"J\u00fcrgen","family":"Kurths","sequence":"additional","affiliation":[{"name":"Potsdam Institute for Climate Impact Research (PIK), Member of the Leibniz Association 3 , 14412 Potsdam,","place":["Germany"]},{"name":"Institute of Physics, Humboldt Universit\u00e4t zu Berlin 5 , Berlin 12489,","place":["Germany"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0791-7896","authenticated-orcid":false,"given":"R. 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