{"id":"https://openalex.org/W7213897385","doi":"https://doi.org/10.48550/arxiv.2609.21923","title":"Nonlinearly Causal General-Relativistic Two-Fluid Dissipative Magnetohydrodynamics","display_name":"Nonlinearly Causal General-Relativistic Two-Fluid Dissipative Magnetohydrodynamics","publication_year":2026,"publication_date":"2026-09-18","ids":{"openalex":"https://openalex.org/W7213897385","doi":"https://doi.org/10.48550/arxiv.2609.21923"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.21923","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.21923","pdf_url":"https://arxiv.org/pdf/2609.21923","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/2609.21923","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017959939","display_name":"Elias R. Most","orcid":"https://orcid.org/0000-0002-0491-1210","observed_orcids":["https://orcid.org/0000-0002-0491-1210"]},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Most, Elias R.","raw_affiliation_strings":["TAPIR , Mailcode 350-17 , California Institute of Technology , Pasadena , CA 91125 , USA","Walter Burke Institute for Theoretical Physics , California Institute of Technology , Pasadena , CA 91125 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TAPIR , Mailcode 350-17 , California Institute of Technology , Pasadena , CA 91125 , USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Walter Burke Institute for Theoretical Physics , California Institute of Technology , Pasadena , CA 91125 , USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035364323","display_name":"Samuel Dunham","orcid":"https://orcid.org/0000-0003-4008-6438","observed_orcids":["https://orcid.org/0000-0003-4008-6438"]},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dunham, Samuel J.","raw_affiliation_strings":["TAPIR , Mailcode 350-17 , California Institute of Technology , Pasadena , CA 91125 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TAPIR , Mailcode 350-17 , California Institute of Technology , Pasadena , CA 91125 , USA","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":3,"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/T10744","display_name":"Astrophysical Phenomena and Observations","score":0.538100004196167,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10744","display_name":"Astrophysical Phenomena and Observations","score":0.538100004196167,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T10173","display_name":"Computational Fluid Dynamics and Aerodynamics","score":0.2615000009536743,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10251","display_name":"Solar and Space Plasma Dynamics","score":0.04800000041723251,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/general-relativistic-magnetohydrodynamics","display_name":"general relativistic magnetohydrodynamics","score":0.9679999947547913},{"id":"https://openalex.org/keywords/two-fluid-plasma","display_name":"two-fluid plasma","score":0.8100000023841858},{"id":"https://openalex.org/keywords/nonlinear-causality","display_name":"nonlinear causality","score":0.8009999990463257},{"id":"https://openalex.org/keywords/strong-hyperbolicity","display_name":"strong hyperbolicity","score":0.9940000176429749},{"id":"https://openalex.org/keywords/energy-dissipation","display_name":"energy dissipation","score":0.4860000014305115},{"id":"https://openalex.org/keywords/hall-effect","display_name":"Hall effect","score":0.7210000157356262},{"id":"https://openalex.org/keywords/electrical-resistivity","display_name":"electrical resistivity","score":0.6959999799728394},{"id":"https://openalex.org/keywords/viscosity","display_name":"viscosity","score":0.6830000281333923},{"id":"https://openalex.org/keywords/thermal-conductivity","display_name":"thermal conductivity","score":0.6980000138282776},{"id":"https://openalex.org/keywords/shock-capturing-schemes","display_name":"shock-capturing schemes","score":0.9150000214576721},{"id":"https://openalex.org/keywords/bondi-accretion","display_name":"Bondi accretion","score":0.9649999737739563},{"id":"https://openalex.org/keywords/black-hole-accretion","display_name":"black hole accretion","score":0.9419999718666077},{"id":"https://openalex.org/keywords/magnetospheric-dynamics","display_name":"magnetospheric dynamics","score":0.890999972820282},{"id":"https://openalex.org/keywords/magnetic-reconnection","display_name":"magnetic reconnection","score":0.8149999976158142}],"concepts":[{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.8361999988555908},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7421000003814697},{"id":"https://openalex.org/C31532427","wikidata":"https://www.wikidata.org/wiki/Q2549249","display_name":"Magnetohydrodynamics","level":3,"score":0.7414000034332275},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.5437999963760376},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.5224000215530396},{"id":"https://openalex.org/C166541682","wikidata":"https://www.wikidata.org/wiki/Q41591","display_name":"Ohm's law","level":3,"score":0.47510001063346863},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3743000030517578},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.36309999227523804},{"id":"https://openalex.org/C60718061","wikidata":"https://www.wikidata.org/wiki/Q1414747","display_name":"Momentum (technical analysis)","level":2,"score":0.34940001368522644},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.34139999747276306},{"id":"https://openalex.org/C24872484","wikidata":"https://www.wikidata.org/wiki/Q126818","display_name":"Dimensionless quantity","level":2,"score":0.31130000948905945},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.3034999966621399},{"id":"https://openalex.org/C64357122","wikidata":"https://www.wikidata.org/wiki/Q1149766","display_name":"Causality (physics)","level":2,"score":0.2948000133037567},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.29420000314712524},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.2856999933719635},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2840999960899353},{"id":"https://openalex.org/C42471609","wikidata":"https://www.wikidata.org/wiki/Q1779048","display_name":"Magnetohydrodynamic drive","level":4,"score":0.2799000144004822},{"id":"https://openalex.org/C2776401274","wikidata":"https://www.wikidata.org/wiki/Q3756855","display_name":"Accretion (finance)","level":2,"score":0.26669999957084656},{"id":"https://openalex.org/C67809727","wikidata":"https://www.wikidata.org/wiki/Q5282783","display_name":"Dissipative soliton","level":4,"score":0.2651999890804291},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.2590000033378601},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.2531999945640564},{"id":"https://openalex.org/C26955809","wikidata":"https://www.wikidata.org/wiki/Q10167591","display_name":"Initial value problem","level":2,"score":0.25279998779296875}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.21923","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.21923","pdf_url":"https://arxiv.org/pdf/2609.21923","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.2609.21923","doi":"https://doi.org/10.48550/arxiv.2609.21923","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.21923","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:2609.21923","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.21923","pdf_url":"https://arxiv.org/pdf/2609.21923","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":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1353381076","display_name":null,"funder_award_id":"2138296","funder_id":"https://openalex.org/F4320312143","funder_display_name":"National Centre for Supercomputing Applications"},{"id":"https://openalex.org/G1366167006","display_name":null,"funder_award_id":"PHY210074","funder_id":"https://openalex.org/F4320312143","funder_display_name":"National Centre for Supercomputing Applications"},{"id":"https://openalex.org/G1453181110","display_name":null,"funder_award_id":"#2138286","funder_id":"https://openalex.org/F4320337377","funder_display_name":"Office of Advanced Cyberinfrastructure"},{"id":"https://openalex.org/G1503004319","display_name":null,"funder_award_id":"#2138307","funder_id":"https://openalex.org/F4320312143","funder_display_name":"National Centre for Supercomputing Applications"},{"id":"https://openalex.org/G1912064254","display_name":"Track 4:  Advanced CI Coordination Ecosystem: Monitoring and Measurement Services","funder_award_id":"2137603","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2312696177","display_name":"Collaborative Research: WoU-MMA: Coherent radio and x-ray precursor transients to gravitational wave events: Simulations in general relativity and kinetic theory","funder_award_id":"2307394","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G298330452","display_name":null,"funder_award_id":"#2138286","funder_id":"https://openalex.org/F4320312143","funder_display_name":"National Centre for Supercomputing Applications"},{"id":"https://openalex.org/G3562386289","display_name":null,"funder_award_id":"#2138296","funder_id":"https://openalex.org/F4320337377","funder_display_name":"Office of Advanced Cyberinfrastructure"},{"id":"https://openalex.org/G397012751","display_name":"WoU-MMA: Aspects of Numerical Relativity and Relativistic Astrophysics","funder_award_id":"2309210","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4006316252","display_name":"Track 1: ACCESS Resource Allocations Marketplace and Platform Services (RAMPS)","funder_award_id":"2138259","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4010157413","display_name":null,"funder_award_id":"2138259","funder_id":"https://openalex.org/F4320337377","funder_display_name":"Office of Advanced Cyberinfrastructure"},{"id":"https://openalex.org/G4403015908","display_name":null,"funder_award_id":"#2138259","funder_id":"https://openalex.org/F4320312143","funder_display_name":"National Centre for Supercomputing Applications"},{"id":"https://openalex.org/G4676224565","display_name":"ACO: An Open CI Ecosystem to Advance Scientific Discovery (OpenCI)","funder_award_id":"2138296","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G509285653","display_name":"Track 3: COre National Ecosystem for CyberinfrasTructure (CONECT)","funder_award_id":"2138307","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5367127336","display_name":null,"funder_award_id":"#2138307","funder_id":"https://openalex.org/F4320337377","funder_display_name":"Office of Advanced Cyberinfrastructure"},{"id":"https://openalex.org/G5464919783","display_name":null,"funder_award_id":"2137603","funder_id":"https://openalex.org/F4320337377","funder_display_name":"Office of Advanced Cyberinfrastructure"},{"id":"https://openalex.org/G8108599699","display_name":null,"funder_award_id":"#2137603","funder_id":"https://openalex.org/F4320312143","funder_display_name":"National Centre for Supercomputing Applications"},{"id":"https://openalex.org/G8300691027","display_name":"Track 2: Customized Multi-tier Assistance, Training, and Computational Help (MATCH) for End User ACCESS to CI","funder_award_id":"2138286","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306151","display_name":"Alfred P. Sloan Foundation","ror":"https://ror.org/052csg198"},{"id":"https://openalex.org/F4320309398","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055"},{"id":"https://openalex.org/F4320309666","display_name":"Resnick Sustainability Institute for Science, Energy and Sustainability, California Institute of Technology","ror":"https://ror.org/05dxps055"},{"id":"https://openalex.org/F4320310145","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95"},{"id":"https://openalex.org/F4320312143","display_name":"National Centre for Supercomputing Applications","ror":"https://ror.org/03r10zj06"},{"id":"https://openalex.org/F4320337377","display_name":"Office of Advanced Cyberinfrastructure","ror":"https://ror.org/04nh1dc89"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7213897385.pdf","grobid_xml":"https://content.openalex.org/works/W7213897385.grobid-xml"},"referenced_works_count":134,"referenced_works":["https://openalex.org/W1505653420","https://openalex.org/W1522150331","https://openalex.org/W1524232948","https://openalex.org/W1588349504","https://openalex.org/W1767754320","https://openalex.org/W1912683790","https://openalex.org/W1972645024","https://openalex.org/W1976002919","https://openalex.org/W1980103755","https://openalex.org/W1986185408","https://openalex.org/W1987532994","https://openalex.org/W1987891289","https://openalex.org/W1992502735","https://openalex.org/W1996012335","https://openalex.org/W2008893027","https://openalex.org/W2017980128","https://openalex.org/W2023714790","https://openalex.org/W2034732911","https://openalex.org/W2040746001","https://openalex.org/W2041678977","https://openalex.org/W2044384010","https://openalex.org/W2053170329","https://openalex.org/W2054076774","https://openalex.org/W2056595757","https://openalex.org/W2062137804","https://openalex.org/W2066137379","https://openalex.org/W2075130042","https://openalex.org/W2078887476","https://openalex.org/W2080904646","https://openalex.org/W2081652876","https://openalex.org/W2105669108","https://openalex.org/W2120240336","https://openalex.org/W2124181048","https://openalex.org/W2127047071","https://openalex.org/W2133240295","https://openalex.org/W2142533448","https://openalex.org/W2150038589","https://openalex.org/W2157362385","https://openalex.org/W2162871007","https://openalex.org/W2163946049","https://openalex.org/W2168275001","https://openalex.org/W2172085903","https://openalex.org/W2197697658","https://openalex.org/W2255861434","https://openalex.org/W2300285279","https://openalex.org/W2377680636","https://openalex.org/W2473671032","https://openalex.org/W2529052607","https://openalex.org/W2529191116","https://openalex.org/W2548178165","https://openalex.org/W2579422625","https://openalex.org/W2588156002","https://openalex.org/W2611618900","https://openalex.org/W2621274128","https://openalex.org/W2747699791","https://openalex.org/W2777186505","https://openalex.org/W2778758956","https://openalex.org/W2779989001","https://openalex.org/W2785509132","https://openalex.org/W2797730973","https://openalex.org/W2807493803","https://openalex.org/W2895295884","https://openalex.org/W2896004704","https://openalex.org/W2909905319","https://openalex.org/W2911968229","https://openalex.org/W2914055139","https://openalex.org/W2936349953","https://openalex.org/W2948171982","https://openalex.org/W2948544756","https://openalex.org/W2959432108","https://openalex.org/W2963755776","https://openalex.org/W2963884629","https://openalex.org/W2966426525","https://openalex.org/W2999989798","https://openalex.org/W3010703014","https://openalex.org/W3022218953","https://openalex.org/W3038496892","https://openalex.org/W3044293945","https://openalex.org/W3087847054","https://openalex.org/W3109377679","https://openalex.org/W3146651506","https://openalex.org/W3158206014","https://openalex.org/W3171139128","https://openalex.org/W3195799521","https://openalex.org/W3201443448","https://openalex.org/W3204668591","https://openalex.org/W3212559071","https://openalex.org/W3213921245","https://openalex.org/W3214796631","https://openalex.org/W4241057996","https://openalex.org/W4280589633","https://openalex.org/W4281264579","https://openalex.org/W4281388476","https://openalex.org/W4304693754","https://openalex.org/W4313448232","https://openalex.org/W4324100500","https://openalex.org/W4381804532","https://openalex.org/W4386043990","https://openalex.org/W4391556733","https://openalex.org/W4392034794","https://openalex.org/W4393924702","https://openalex.org/W4393928056","https://openalex.org/W4399394340","https://openalex.org/W4400667278","https://openalex.org/W4401979703","https://openalex.org/W4402073247","https://openalex.org/W4402745828","https://openalex.org/W4405631034","https://openalex.org/W4406233506","https://openalex.org/W4409033475","https://openalex.org/W4410292996","https://openalex.org/W4410576357","https://openalex.org/W4413065564","https://openalex.org/W4414688675","https://openalex.org/W4415634218","https://openalex.org/W4415704785","https://openalex.org/W4416184805","https://openalex.org/W4416245767","https://openalex.org/W4416260225","https://openalex.org/W4417268882","https://openalex.org/W4417311834","https://openalex.org/W7103164683","https://openalex.org/W7119044906","https://openalex.org/W7127135529","https://openalex.org/W7135092195","https://openalex.org/W7141053979","https://openalex.org/W7141263345","https://openalex.org/W7151972127","https://openalex.org/W7152621893","https://openalex.org/W7167665524","https://openalex.org/W7170385953","https://openalex.org/W7213135567","https://openalex.org/W7214894606","https://openalex.org/W7222010336"],"related_works":["https://openalex.org/W4401979703","https://openalex.org/W2604874884","https://openalex.org/W3129850160","https://openalex.org/W4409175811","https://openalex.org/W2081180806","https://openalex.org/W3214796631","https://openalex.org/W4312402637","https://openalex.org/W2015774547","https://openalex.org/W799448233","https://openalex.org/W2548178165"],"abstract_inverted_index":{"We":[0,45,197],"present":[1],"a":[2,40,77,86,161,173,186,203],"formulation":[3,73,221],"of":[4,12,32,114,205,211,235,242],"general-relativistic":[5],"(GR)":[6],"19-moment":[7,57],"dissipative":[8,16,97,190],"magnetohydrodynamics":[9],"(MHD),":[10],"capable":[11],"handling":[13],"all":[14,28,92],"first-order":[15,56],"terms":[17],"(viscosity,":[18],"heat":[19,250],"conductivity,":[20],"resistivity":[21],"and":[22,37,48,64,98,142,157,168,184,215,222,245,249],"Hall":[23],"terms),":[24],"as":[25,27,59,61,140,149,151],"well":[26,60],"ideal":[29],"electron":[30,99],"degrees":[31],"freedom":[33],"(number":[34],"density,":[35],"momentum":[36],"energy)":[38],"in":[39,85,101,136,194],"GR":[41],"astrophysical":[42],"two-fluid":[43,191],"plasma.":[44],"derive":[46,185],"necessary":[47,63,156],"sufficient":[49,65,158],"nonlinear":[50],"causality":[51],"conditions":[52,66,159],"for":[53,67,160,230],"the":[54,72,96,122,147,200],"constrained":[55],"system,":[58],"both":[62],"strong":[68],"hyperbolicity.":[69],"To":[70,145],"assess":[71],"numerically,":[74],"we":[75,126,154,182],"develop":[76],"high-resolution":[78],"shock-capturing":[79],"scheme":[80,90,148,223],"that":[81,219],"solves":[82],"these":[83,171,236],"equations":[84,201],"performance-portable":[87],"fashion.":[88],"The":[89],"expresses":[91],"evolution":[93],"equations,":[94],"including":[95,238],"sectors,":[100],"flux-divergence":[102],"form,":[103],"allowing":[104],"us":[105],"to":[106,131,164,189],"model":[107],"systems":[108],"with":[109],"scales":[110,119,135,234],"separated":[111],"by":[112],"orders":[113],"magnitude":[115],"without":[116],"resolving":[117],"kinetic":[118,134,208],"everywhere":[120],"on":[121,170,232],"grid.":[123],"In":[124],"addition,":[125],"use":[127],"implicit":[128],"integration":[129],"methods":[130],"systematically":[132],"overstep":[133],"MHD":[137],"regions,":[138],"such":[139],"cyclotron":[141],"plasma":[143],"frequencies.":[144],"make":[146],"robust":[150],"GRMHD":[152],"codes,":[153],"construct":[155,172],"conserved":[162],"state":[163],"be":[165],"physically":[166],"admissible,":[167],"based":[169],"new":[174],"physicality-enforcement":[175],"scheme.":[176],"As":[177],"an":[178],"exact":[179],"validation":[180],"comparison,":[181],"formulate":[183],"full":[187],"solution":[188],"Bondi":[192],"accretion":[193,214],"general":[195],"relativity.":[196],"then":[198],"validate":[199],"against":[202],"series":[204],"results":[206],"from":[207],"particle-in-cell":[209],"models":[210],"black":[212],"hole":[213],"magnetospheric":[216],"dynamics,":[217],"demonstrating":[218],"our":[220],"can":[224],"correctly":[225],"capture":[226],"major":[227],"features":[228],"relevant":[229],"feedback":[231],"global":[233],"solutions,":[237],"dimensionless":[239],"reconnection":[240],"rates":[241],"order":[243],"$0.1$":[244],"Braginskii-like":[246],"anisotropic":[247],"pressures":[248],"fluxes.":[251]},"counts_by_year":[{"year":2026,"cited_by_count":3}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-22T00:00:00"}