{"id":"https://openalex.org/W7213510372","doi":"https://doi.org/10.48550/arxiv.2609.17938","title":"Landau Damping Beyond Smooth Velocity Distributions: A Dispersion-Free Lagrangian Time-Domain Framework","display_name":"Landau Damping Beyond Smooth Velocity Distributions: A Dispersion-Free Lagrangian Time-Domain Framework","publication_year":2026,"publication_date":"2026-09-15","ids":{"openalex":"https://openalex.org/W7213510372","doi":"https://doi.org/10.48550/arxiv.2609.17938"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.17938","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.17938","pdf_url":"https://arxiv.org/pdf/2609.17938","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","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.17938","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5128039324","display_name":"Huasheng Xie","orcid":"https://orcid.org/0000-0001-9204-135X","observed_orcids":["https://orcid.org/0000-0001-9204-135X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xie, Huasheng","raw_affiliation_strings":["Beijing VeloAlpha Technology Co., Ltd. , Beijing , 100080 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing VeloAlpha Technology Co., Ltd. , Beijing , 100080 , China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5138639141","display_name":"Jinsong Zhao","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I2802340896","display_name":"Purple Mountain Observatory","ror":"https://ror.org/02eb4t121","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I2802340896"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhao, Jinsong","raw_affiliation_strings":["Purple Mountain Observatory , Chinese Academy of Sciences , Nanjing 210023 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Purple Mountain Observatory , Chinese Academy of Sciences , Nanjing 210023 , China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I2802340896"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"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/T11603","display_name":"Dust and Plasma Wave Phenomena","score":0.6826000213623047,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T11603","display_name":"Dust and Plasma Wave Phenomena","score":0.6826000213623047,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T10251","display_name":"Solar and Space Plasma Dynamics","score":0.13760000467300415,"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/T10346","display_name":"Magnetic confinement fusion research","score":0.08839999884366989,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"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/landau-damping","display_name":"Landau damping","score":1.0},{"id":"https://openalex.org/keywords/velocity-distribution-function","display_name":"velocity distribution function","score":0.8560000061988831},{"id":"https://openalex.org/keywords/resonance-linewidth","display_name":"resonance width","score":0.7329999804496765},{"id":"https://openalex.org/keywords/wave-particle-interaction","display_name":"wave-particle interactions","score":0.8700000047683716},{"id":"https://openalex.org/keywords/kinetic-theory","display_name":"kinetic theory","score":0.49799999594688416},{"id":"https://openalex.org/keywords/analytic-continuation","display_name":"analytic continuation","score":0.5929999947547913},{"id":"https://openalex.org/keywords/kinetic-theory-of-plasmas","display_name":"plasma kinetic theory","score":0.41200000047683716}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6507999897003174},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.4934999942779541},{"id":"https://openalex.org/C139210041","wikidata":"https://www.wikidata.org/wiki/Q2145840","display_name":"Resonance (particle physics)","level":2,"score":0.46889999508857727},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.461899995803833},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.44780001044273376},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.4284000098705292},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41690000891685486},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4097999930381775},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.4056999981403351},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4002000093460083},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.37929999828338623},{"id":"https://openalex.org/C73155160","wikidata":"https://www.wikidata.org/wiki/Q675721","display_name":"Landau damping","level":3,"score":0.3668000102043152},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3517000079154968},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.34139999747276306},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.33889999985694885},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33390000462532043},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.3212999999523163},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"score":0.3199999928474426},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.3167000114917755},{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.3111000061035156},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.3046000003814697},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.30140000581741333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3003999888896942},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.289900004863739},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.28380000591278076},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.26489999890327454},{"id":"https://openalex.org/C134121241","wikidata":"https://www.wikidata.org/wiki/Q899301","display_name":"Yield (engineering)","level":2,"score":0.26190000772476196},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.2547999918460846},{"id":"https://openalex.org/C69123182","wikidata":"https://www.wikidata.org/wiki/Q891766","display_name":"Fokker\u2013Planck equation","level":3,"score":0.25049999356269836}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.17938","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.17938","pdf_url":"https://arxiv.org/pdf/2609.17938","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.2609.17938","doi":"https://doi.org/10.48550/arxiv.2609.17938","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.17938","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.17938","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.17938","pdf_url":"https://arxiv.org/pdf/2609.17938","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":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7213510372.pdf","grobid_xml":"https://content.openalex.org/works/W7213510372.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3002350095","https://openalex.org/W4399365607","https://openalex.org/W42070768","https://openalex.org/W6959961967","https://openalex.org/W7154013779","https://openalex.org/W7162105700","https://openalex.org/W2002691621","https://openalex.org/W2338516057","https://openalex.org/W2056899564","https://openalex.org/W1991782243"],"abstract_inverted_index":{"The":[0],"classic":[1],"theory":[2],"of":[3,66,193,206],"Landau":[4,56],"damping":[5,57],"requires":[6],"the":[7,17,63,121,127,133,150,182,190,194,203],"velocity":[8],"distribution":[9],"function":[10],"(VDF)":[11],"to":[12,135,154],"be":[13],"analytically":[14],"continued":[15],"into":[16],"complex":[18],"plane,":[19],"implicitly":[20],"requiring":[21],"analyticity,":[22],"which":[23],"imposes":[24],"constraints":[25],"far":[26],"more":[27],"severe":[28],"than":[29],"infinite":[30],"smoothness.":[31],"Yet":[32],"physical":[33],"plasmas---encountered":[34],"in":[35,60,209],"discrete":[36,157],"simulations,":[37],"noisy":[38],"spacecraft":[39],"measurements,":[40],"or":[41],"truncated":[42],"fusion":[43],"distributions---are":[44],"inherently":[45],"non-analytic.":[46],"This":[47,140],"discrepancy":[48],"poses":[49],"a":[50,84,91,112,198],"foundational":[51],"``smoothness":[52],"paradox'':":[53],"why":[54],"does":[55],"robustly":[58],"persist":[59],"systems":[61],"where":[62,187],"mathematical":[64],"prerequisite":[65],"analyticity":[67],"is":[68,81,189],"profoundly":[69],"violated?":[70],"Here":[71],"we":[72,96],"resolve":[73,136],"this":[74,99],"paradox":[75],"by":[76,83],"demonstrating":[77],"that":[78,98,116,201],"wave-particle":[79],"interaction":[80],"governed":[82],"time-dependent":[85],"resonance":[86,128],"width":[87,101,129],"$\u0394v_\\mathrm{res}\\sim":[88],"1/kt$.":[89],"Using":[90],"dispersion-free":[92],"Lagrangian":[93],"time-domain":[94],"solver,":[95],"show":[97],"finite":[100],"kinematically":[102],"coarse-grains":[103],"microscopic":[104],"VDF":[105,147],"defects":[106],"at":[107],"early":[108],"times,":[109],"acting":[110],"as":[111,125],"natural":[113],"low-pass":[114],"filter":[115],"validates":[117],"smooth":[118],"analytical":[119],"proxies---explaining":[120],"observed":[122],"robustness.":[123],"However,":[124],"$t\\to\\infty$":[126],"narrows,":[130],"inevitably":[131],"forcing":[132],"wave":[134],"exact":[137],"topological":[138],"non-smoothness.":[139],"late-time":[141],"resolution":[142],"triggers":[143],"three":[144],"distinct":[145],"breakdowns:":[146],"truncation":[148],"arrests":[149],"resonant":[151],"phase":[152],"transition":[153],"yield":[155],"undamped":[156],"Van":[158],"Kampen":[159],"modes;":[160],"observational":[161],"noise":[162],"induces":[163],"transient":[164],"algebraic":[165],"spikes":[166],"via":[167],"linear":[168],"phase-space":[169],"aliasing;":[170],"and":[171],"step-like":[172],"gradients":[173],"drive":[174],"anomalously":[175],"violent":[176],"reactive":[177],"instability":[178],"growth.":[179],"We":[180],"establish":[181],"breakdown":[183],"timescale":[184],"$t_b\\sim":[185],"1/k\u03b4v$,":[186],"$\u03b4v$":[188],"characteristic":[191],"scale":[192],"non-smooth":[195],"defect,":[196],"providing":[197],"quantitative":[199],"criterion":[200],"redefines":[202],"validity":[204],"boundaries":[205],"analytic":[207],"continuation":[208],"kinetic":[210],"theory.":[211]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-18T00:00:00"}