{"id":"https://openalex.org/W2016166819","doi":"https://doi.org/10.1016/s0096-3003(00)00032-1","title":"Spherical spatial ranges of non-polar chemicals for reaction\u2013diffusion type dynamics","display_name":"Spherical spatial ranges of non-polar chemicals for reaction\u2013diffusion type dynamics","publication_year":2001,"publication_date":"2001-11-01","ids":{"openalex":"https://openalex.org/W2016166819","doi":"https://doi.org/10.1016/s0096-3003(00)00032-1","mag":"2016166819"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(00)00032-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(00)00032-1","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074705173","display_name":"Hermann Held","orcid":"https://orcid.org/0000-0003-0150-1766"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"H Held","raw_affiliation_strings":["Department of Physics, University of California at Berkeley, Berkeley, CA 94720, USA","Department of Physics University of California at Berkeley Berkeley CA 94720 USA"],"affiliations":[{"raw_affiliation_string":"Department of Physics, University of California at Berkeley, Berkeley, CA 94720, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Department of Physics University of California at Berkeley Berkeley CA 94720 USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5074705173"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":2.0978,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.84337464,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"124","issue":"1","first_page":"29","last_page":"43"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10122","display_name":"Toxic Organic Pollutants Impact","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2307","display_name":"Health, Toxicology and Mutagenesis"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10122","display_name":"Toxic Organic Pollutants Impact","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2307","display_name":"Health, Toxicology and Mutagenesis"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11129","display_name":"Photochemistry and Electron Transfer Studies","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10075","display_name":"Atmospheric chemistry and aerosols","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.7056723237037659},{"id":"https://openalex.org/keywords/persistence","display_name":"Persistence (discontinuity)","score":0.6711708903312683},{"id":"https://openalex.org/keywords/polar","display_name":"Polar","score":0.6449655294418335},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.6362913250923157},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5877030491828918},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4992358684539795},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.45760416984558105},{"id":"https://openalex.org/keywords/steady-state","display_name":"Steady state (chemistry)","score":0.45634210109710693},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.43474531173706055},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4311525821685791},{"id":"https://openalex.org/keywords/reaction-rate-constant","display_name":"Reaction rate constant","score":0.41333839297294617},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4017091393470764},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.36041563749313354},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3422260582447052},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.33997035026550293},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2981572151184082},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.27901071310043335},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.25664547085762024},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.2481960952281952},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.22183874249458313},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.16355028748512268},{"id":"https://openalex.org/keywords/physical-chemistry","display_name":"Physical chemistry","score":0.13030153512954712},{"id":"https://openalex.org/keywords/kinetics","display_name":"Kinetics","score":0.12602311372756958},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12412610650062561}],"concepts":[{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.7056723237037659},{"id":"https://openalex.org/C2781009140","wikidata":"https://www.wikidata.org/wiki/Q7170389","display_name":"Persistence (discontinuity)","level":2,"score":0.6711708903312683},{"id":"https://openalex.org/C29705727","wikidata":"https://www.wikidata.org/wiki/Q294562","display_name":"Polar","level":2,"score":0.6449655294418335},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.6362913250923157},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5877030491828918},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4992358684539795},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.45760416984558105},{"id":"https://openalex.org/C8171440","wikidata":"https://www.wikidata.org/wiki/Q903414","display_name":"Steady state (chemistry)","level":2,"score":0.45634210109710693},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.43474531173706055},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4311525821685791},{"id":"https://openalex.org/C93391505","wikidata":"https://www.wikidata.org/wiki/Q658700","display_name":"Reaction rate constant","level":3,"score":0.41333839297294617},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4017091393470764},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.36041563749313354},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3422260582447052},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.33997035026550293},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2981572151184082},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.27901071310043335},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25664547085762024},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2481960952281952},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.22183874249458313},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.16355028748512268},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.13030153512954712},{"id":"https://openalex.org/C148898269","wikidata":"https://www.wikidata.org/wiki/Q1108792","display_name":"Kinetics","level":2,"score":0.12602311372756958},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12412610650062561},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0096-3003(00)00032-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(00)00032-1","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"},{"id":"pmh:oai:publications.pik-potsdam.de:item_11652","is_oa":false,"landing_page_url":"https://publications.pik-potsdam.de/pubman/item/item_11652","pdf_url":null,"source":{"id":"https://openalex.org/S4306400891","display_name":"Publication Database PIK (Potsdam Institute for Climate Impact Research (PIK))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60200437","host_organization_name":"Potsdam Institute for Climate Impact Research","host_organization_lineage":["https://openalex.org/I60200437"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Applied Mathematics and Computation","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W318212300","https://openalex.org/W1552736770","https://openalex.org/W1968696485","https://openalex.org/W1980661496","https://openalex.org/W1992795473","https://openalex.org/W2081068651","https://openalex.org/W2100350004","https://openalex.org/W2123938979","https://openalex.org/W2139794367","https://openalex.org/W2798857148"],"related_works":["https://openalex.org/W1995895161","https://openalex.org/W2352063914","https://openalex.org/W1822185412","https://openalex.org/W2047377442","https://openalex.org/W2017131795","https://openalex.org/W3205546307","https://openalex.org/W2883299638","https://openalex.org/W4387835727","https://openalex.org/W2792495574","https://openalex.org/W2024551343"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
