{"id":"https://openalex.org/W7212000368","doi":"https://doi.org/10.48550/arxiv.2609.07763","title":"Topographic Disorder, Wind Coupling, and Directional Fire Spread: Critical Behavior in a Terrain-Weighted Forest Fire Model","display_name":"Topographic Disorder, Wind Coupling, and Directional Fire Spread: Critical Behavior in a Terrain-Weighted Forest Fire Model","publication_year":2026,"publication_date":"2026-09-07","ids":{"openalex":"https://openalex.org/W7212000368","doi":"https://doi.org/10.48550/arxiv.2609.07763"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.07763","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.07763","pdf_url":"https://arxiv.org/pdf/2609.07763","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.07763","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088664903","display_name":"Juan M. Florez","orcid":"https://orcid.org/0000-0002-4990-767X","observed_orcids":["https://orcid.org/0000-0002-4990-767X"]},"institutions":[{"id":"https://openalex.org/I4210156023","display_name":"Universidad Central de Chile","ror":"https://ror.org/0577avk88","country_code":"CL","type":"education","lineage":["https://openalex.org/I4210156023"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Florez, Juan M.","raw_affiliation_strings":["Departamento de Ingenier\u00eda y Arquitectura , Universidad Central de Chile , Santiago , Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ingenier\u00eda y Arquitectura , Universidad Central de Chile , Santiago , Chile","institution_ids":["https://openalex.org/I4210156023"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002741113","display_name":"Eric Su\u00e1rez Morell","orcid":"https://orcid.org/0000-0001-7211-2261","observed_orcids":["https://orcid.org/0000-0001-7211-2261"]},"institutions":[{"id":"https://openalex.org/I75778554","display_name":"Universidad T\u00e9cnica Federico Santa Mar\u00eda","ror":"https://ror.org/05510vn56","country_code":"CL","type":"education","lineage":["https://openalex.org/I75778554"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Morell, Eric Su\u00e1rez","raw_affiliation_strings":["Grupo de Simulaciones , Departamento de F\u00edsica , Universidad T\u00e9cnica Federico Santa Mar\u00eda , Valpara\u00edso , Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Grupo de Simulaciones , Departamento de F\u00edsica , Universidad T\u00e9cnica Federico Santa Mar\u00eda , Valpara\u00edso , Chile","institution_ids":["https://openalex.org/I75778554"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004298205","display_name":"Cristian Mill\u00e1n","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210156023","display_name":"Universidad Central de Chile","ror":"https://ror.org/0577avk88","country_code":"CL","type":"education","lineage":["https://openalex.org/I4210156023"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Millan, Cristian","raw_affiliation_strings":["Departamento de Ingenier\u00eda y Arquitectura , Universidad Central de Chile , Santiago , Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Ingenier\u00eda y Arquitectura , Universidad Central de Chile , Santiago , Chile","institution_ids":["https://openalex.org/I4210156023"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5151051304","display_name":"J. Restrepo","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I35961687","display_name":"Universidad de Antioquia","ror":"https://ror.org/03bp5hc83","country_code":"CO","type":"education","lineage":["https://openalex.org/I35961687"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"Restrepo, J.","raw_affiliation_strings":["Grupo de Magnetismo y Simulaci\u00f3n G+ , Instituto de F\u00edsica , Universidad de Antioquia , A.A. 1226 , Medell\u00edn , Colombia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Grupo de Magnetismo y Simulaci\u00f3n G+ , Instituto de F\u00edsica , Universidad de Antioquia , A.A. 1226 , Medell\u00edn , Colombia","institution_ids":["https://openalex.org/I35961687"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9336000084877014,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9336000084877014,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.03139999881386757,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10555","display_name":"Fire effects on ecosystems","score":0.009399999864399433,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/wildfire-spread","display_name":"wildfire spread","score":0.7360000014305115},{"id":"https://openalex.org/keywords/finite-size-scaling","display_name":"finite-size scaling","score":0.6520000100135803},{"id":"https://openalex.org/keywords/correlation-length-exponent","display_name":"correlation length exponent","score":0.7609999775886536},{"id":"https://openalex.org/keywords/survival-probability","display_name":"survival probability","score":0.6629999876022339},{"id":"https://openalex.org/keywords/burn-scars","display_name":"burn scars","score":0.5929999947547913},{"id":"https://openalex.org/keywords/fire-risk","display_name":"fire risk","score":0.4490000009536743}],"concepts":[{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.5845999717712402},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5751000046730042},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5705000162124634},{"id":"https://openalex.org/C161840515","wikidata":"https://www.wikidata.org/wiki/Q186131","display_name":"Terrain","level":2,"score":0.5508000254631042},{"id":"https://openalex.org/C2780457167","wikidata":"https://www.wikidata.org/wiki/Q17156484","display_name":"Percolation (cognitive psychology)","level":2,"score":0.4674000144004822},{"id":"https://openalex.org/C153294291","wikidata":"https://www.wikidata.org/wiki/Q25261","display_name":"Meteorology","level":1,"score":0.44269999861717224},{"id":"https://openalex.org/C2729557","wikidata":"https://www.wikidata.org/wiki/Q7167170","display_name":"Percolation threshold","level":3,"score":0.41040000319480896},{"id":"https://openalex.org/C15867958","wikidata":"https://www.wikidata.org/wiki/Q5280413","display_name":"Directed percolation","level":4,"score":0.4034999907016754},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.3831000030040741},{"id":"https://openalex.org/C24872484","wikidata":"https://www.wikidata.org/wiki/Q126818","display_name":"Dimensionless quantity","level":2,"score":0.37599998712539673},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36230000853538513},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3580999970436096},{"id":"https://openalex.org/C91586092","wikidata":"https://www.wikidata.org/wiki/Q757520","display_name":"Atmospheric sciences","level":1,"score":0.3474999964237213},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3416000008583069},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.3391999900341034},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32659998536109924},{"id":"https://openalex.org/C122507166","wikidata":"https://www.wikidata.org/wiki/Q628906","display_name":"Crossover","level":2,"score":0.3179999887943268},{"id":"https://openalex.org/C2777620828","wikidata":"https://www.wikidata.org/wiki/Q7582067","display_name":"Square lattice","level":3,"score":0.3163999915122986},{"id":"https://openalex.org/C38976095","wikidata":"https://www.wikidata.org/wiki/Q752641","display_name":"Asymmetry","level":2,"score":0.3158000111579895},{"id":"https://openalex.org/C87040749","wikidata":"https://www.wikidata.org/wiki/Q428971","display_name":"Power law","level":2,"score":0.31139999628067017},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.3093999922275543},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.27300000190734863},{"id":"https://openalex.org/C37054046","wikidata":"https://www.wikidata.org/wiki/Q641888","display_name":"Elevation (ballistics)","level":2,"score":0.26829999685287476},{"id":"https://openalex.org/C32277403","wikidata":"https://www.wikidata.org/wiki/Q740445","display_name":"Ridge","level":2,"score":0.26660001277923584},{"id":"https://openalex.org/C150060386","wikidata":"https://www.wikidata.org/wiki/Q7574054","display_name":"Spatial correlation","level":2,"score":0.26019999384880066},{"id":"https://openalex.org/C166550679","wikidata":"https://www.wikidata.org/wiki/Q263400","display_name":"Gaussian network model","level":3,"score":0.2581000030040741},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.25619998574256897}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.07763","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.07763","pdf_url":"https://arxiv.org/pdf/2609.07763","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.07763","doi":"https://doi.org/10.48550/arxiv.2609.07763","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.07763","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.07763","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.07763","pdf_url":"https://arxiv.org/pdf/2609.07763","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","score":0.4390000104904175,"display_name":"Life on land"}],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323197","display_name":"Universidad de Antioquia","ror":"https://ror.org/03bp5hc83"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212000368.pdf","grobid_xml":"https://content.openalex.org/works/W7212000368.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4410314186","https://openalex.org/W217980698","https://openalex.org/W1998378617","https://openalex.org/W2095717890","https://openalex.org/W2008789041","https://openalex.org/W1604931732","https://openalex.org/W7161081662","https://openalex.org/W2001227348","https://openalex.org/W2385040214","https://openalex.org/W2740474333"],"abstract_inverted_index":{"We":[0],"introduce":[1],"the":[2,23,60,92,117,121,124,187,223],"Terrain-Weighted":[3],"Forest":[4],"Fire":[5],"Model":[6],"(TFFM),":[7],"a":[8,16,41,71,104,111,127,163,177,202,207],"lattice":[9],"model":[10,238],"in":[11,52],"which":[12,192],"fire":[13,79,93],"spreads":[14],"on":[15,35,103],"spatially":[17],"correlated":[18],"Gaussian":[19],"height":[20],"field":[21],"with":[22,55,162,186],"asymmetric":[24],"bond":[25],"probability":[26,151,179],"$p_{i\\to":[27],"j}=\\mathrm{clip}[e^{-\u03b2+\u03b3(h_j-h_i)},0,1]$,":[28],"plus":[29],"an":[30],"additive":[31],"wind":[32],"bias.":[33],"Simulations":[34],"lattices":[36],"up":[37],"to":[38,95,169,176,196,246],"$L=8192$":[39],"reveal":[40],"sharp":[42,208],"active-to-inactive":[43],"transition":[44],"whose":[45],"critical":[46],"suppression":[47],"threshold":[48],"$\u03b2_c$":[49,153,200],"is":[50,65,154],"even":[51,97],"$\u03b3$,":[53],"decreases":[54,58,222],"$|\u03b3|$,":[56],"and":[57,78,88,120,126,134,158,174,242],"as":[59,70],"terrain":[61,87,220],"correlation":[62],"length":[63],"$\u03c3_h$":[64],"reduced:":[66],"slope":[67],"asymmetry":[68],"acts":[69],"suppressant":[72],"because":[73],"downhill":[74],"bonds":[75],"are":[76],"penalized":[77],"stalls":[80],"at":[81,98,108,152,183,191,214,218,226],"local":[82],"elevation":[83],"maxima.":[84],"For":[85],"rough":[86,135],"low":[89],"tree":[90],"density":[91],"fails":[94],"percolate":[96],"zero":[99],"suppression.":[100],"Finite-size":[101],"scaling":[102],"fine":[105],"$\u03b2$":[106],"grid":[107],"$L=2048$--$8192$":[109],"gives":[110],"correlation-length":[112],"exponent":[113,129,165],"$\u03bd=1.8\\pm0.17$":[114],"from":[115,167,233],"both":[116],"susceptibility":[118],"peak":[119],"width":[122],"of":[123,156,204,210],"transition,":[125],"front-velocity":[128],"$\u03b4=0.34\\pm0.03$,":[130],"identical":[131],"for":[132],"smooth":[133],"terrain;":[136],"neither":[137],"matches":[138],"directed":[139,172],"percolation":[140,145,173],"($\u03bd_\\perp=0.73$,":[141],"$\u03bd_\\parallel-\u03bd_\\perp\\approx0.56$)":[142],"or":[143],"isotropic":[144,234],"($\u03bd=4/3$,":[146],"$\\approx0.18$).":[147],"The":[148,237],"single-seed":[149],"survival":[150,178],"independent":[155],"$L$":[157],"decays":[159],"extremely":[160],"slowly,":[161],"running":[164],"falling":[166],"$\\approx0.09$":[168],"$\\approx0.04$,":[170],"excluding":[171],"pointing":[175],"that":[180],"remains":[181],"finite":[182],"criticality,":[184],"consistent":[185],"$L$-independent":[188],"value":[189],"$P^*\\approx0.5$":[190],"$P_{\\rm":[193],"surv}$":[194],"drops":[195],"zero.":[197],"Wind":[198],"raises":[199],"by":[201],"factor":[203],"$2$--$4$,":[205],"produces":[206],"onset":[209],"downwind":[211],"fire-scar":[212,243],"drift":[213],"weak":[215],"coupling,":[216,221],"and,":[217],"high":[219],"burned":[224],"fraction":[225],"boundary":[227],"crossing---a":[228],"terrain-wind":[229],"competition":[230],"effect":[231],"absent":[232],"bond-disorder":[235],"models.":[236],"yields":[239],"fire-risk":[240],"thresholds":[241],"signatures":[244],"comparable":[245],"satellite":[247],"burn-scar":[248],"data.":[249]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-10T00:00:00"}