{"id":"https://openalex.org/W7223237471","doi":"https://doi.org/10.48550/arxiv.2610.29094","title":"Oscillation modes, Decoherence, Beam Transfer Functions, and Instabilities for a Beam Subjected to Space-Charge Forces","display_name":"Oscillation modes, Decoherence, Beam Transfer Functions, and Instabilities for a Beam Subjected to Space-Charge Forces","publication_year":2026,"publication_date":"2026-10-21","ids":{"openalex":"https://openalex.org/W7223237471","doi":"https://doi.org/10.48550/arxiv.2610.29094"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.29094","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.29094","pdf_url":"https://arxiv.org/pdf/2610.29094","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/2610.29094","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023066341","display_name":"K. Ohmi","orcid":"https://orcid.org/0000-0002-5965-6093","observed_orcids":["https://orcid.org/0000-0002-5965-6093"]},"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/I4210137180","display_name":"Institute of High Energy Physics","ror":"https://ror.org/03v8tnc06","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210137180"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ohmi, Kazuhito","raw_affiliation_strings":["Institute of High Energy Physics , Chinese Academy of Sciences , Beijing 100049 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of High Energy Physics , Chinese Academy of Sciences , Beijing 100049 , China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210137180"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5159270120","display_name":"Liangsheng Huang","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/I4210137180","display_name":"Institute of High Energy Physics","ror":"https://ror.org/03v8tnc06","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210137180"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huang, Liangsheng","raw_affiliation_strings":["Institute of High Energy Physics , Chinese Academy of Sciences , Beijing 100049 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of High Energy Physics , Chinese Academy of Sciences , Beijing 100049 , China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210137180"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5159280305","display_name":"Hanyang Liu","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/I4210137180","display_name":"Institute of High Energy Physics","ror":"https://ror.org/03v8tnc06","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210137180"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liu, Hanyang","raw_affiliation_strings":["Institute of High Energy Physics , Chinese Academy of Sciences , Beijing 100049 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of High Energy Physics , Chinese Academy of Sciences , Beijing 100049 , China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210137180"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5123513332","display_name":"Li Rao","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/I4210107785","display_name":"China Spallation Neutron Source","ror":"https://ror.org/01g140v14","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210107785","https://openalex.org/I4210137180"]},{"id":"https://openalex.org/I4210137180","display_name":"Institute of High Energy Physics","ror":"https://ror.org/03v8tnc06","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210137180"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Rao, Li","raw_affiliation_strings":["CSNS , Spallation Neutron Source Science Center , Dongguan 523803 , China","Institute of High Energy Physics , Chinese Academy of Sciences , Beijing 100049 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CSNS , Spallation Neutron Source Science Center , Dongguan 523803 , China","institution_ids":["https://openalex.org/I4210107785"]},{"raw_affiliation_string":"Institute of High Energy Physics , Chinese Academy of Sciences , Beijing 100049 , China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210137180"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5159272697","display_name":"Renjun Yang","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/I4210137180","display_name":"Institute of High Energy Physics","ror":"https://ror.org/03v8tnc06","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210137180"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang, Renjun","raw_affiliation_strings":["Institute of High Energy Physics , Chinese Academy of Sciences , Beijing 100049 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of High Energy Physics , Chinese Academy of Sciences , Beijing 100049 , China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210137180"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5159261396","display_name":"Sheng Wang","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/I4210137180","display_name":"Institute of High Energy Physics","ror":"https://ror.org/03v8tnc06","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210137180"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wang, Sheng","raw_affiliation_strings":["Institute of High Energy Physics , Chinese Academy of Sciences , Beijing 100049 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of High Energy Physics , Chinese Academy of Sciences , Beijing 100049 , China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210137180"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5159273872","display_name":"Mingyang Huang","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/I4210137180","display_name":"Institute of High Energy Physics","ror":"https://ror.org/03v8tnc06","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210137180"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huang, Mingyang","raw_affiliation_strings":["Institute of High Energy Physics , Chinese Academy of Sciences , Beijing 100049 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of High Energy Physics , Chinese Academy of Sciences , Beijing 100049 , China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210137180"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"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/T11367","display_name":"Particle accelerators and beam dynamics","score":0.9794999957084656,"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"}},"topics":[{"id":"https://openalex.org/T11367","display_name":"Particle accelerators and beam dynamics","score":0.9794999957084656,"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"}},{"id":"https://openalex.org/T10559","display_name":"Particle Accelerators and Free-Electron Lasers","score":0.011599999852478504,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T12762","display_name":"Crystallography and Radiation Phenomena","score":0.000699999975040555,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/space-charge-forces","display_name":"space charge forces","score":0.8790000081062317},{"id":"https://openalex.org/keywords/oscillation-modes","display_name":"oscillation modes","score":0.7910000085830688},{"id":"https://openalex.org/keywords/decoherence","display_name":"decoherence","score":0.9290000200271606},{"id":"https://openalex.org/keywords/dipole-oscillations","display_name":"dipole oscillations","score":0.8740000128746033},{"id":"https://openalex.org/keywords/beam-transfer-function","display_name":"beam transfer function","score":0.9860000014305115},{"id":"https://openalex.org/keywords/beam-instabilities","display_name":"beam instabilities","score":0.9710000157356262},{"id":"https://openalex.org/keywords/vlasov-equation","display_name":"Vlasov equation","score":0.8669999837875366},{"id":"https://openalex.org/keywords/longitudinal-phase-space","display_name":"longitudinal phase space","score":0.8669999837875366},{"id":"https://openalex.org/keywords/eigenvalue-problem","display_name":"eigenvalue problem","score":0.7429999709129333},{"id":"https://openalex.org/keywords/landau-damping","display_name":"Landau damping","score":0.7710000276565552},{"id":"https://openalex.org/keywords/rapid-cycling-synchrotron","display_name":"rapid cycling synchrotron","score":0.8949999809265137},{"id":"https://openalex.org/keywords/china-spallation-neutron-source","display_name":"China Spallation Neutron Source","score":0.8629999756813049},{"id":"https://openalex.org/keywords/synchrotron-beam-dynamics","display_name":"synchrotron beam dynamics","score":0.6790000200271606}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.7526999711990356},{"id":"https://openalex.org/C168834538","wikidata":"https://www.wikidata.org/wiki/Q3705329","display_name":"Beam (structure)","level":2,"score":0.6794000267982483},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5956000089645386},{"id":"https://openalex.org/C128803854","wikidata":"https://www.wikidata.org/wiki/Q1307821","display_name":"Eigenfunction","level":3,"score":0.590499997138977},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.5626999735832214},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.5564000010490417},{"id":"https://openalex.org/C154954056","wikidata":"https://www.wikidata.org/wiki/Q1604164","display_name":"Transverse plane","level":2,"score":0.546999990940094},{"id":"https://openalex.org/C173523689","wikidata":"https://www.wikidata.org/wiki/Q215589","display_name":"Dipole","level":2,"score":0.46309998631477356},{"id":"https://openalex.org/C186175660","wikidata":"https://www.wikidata.org/wiki/Q2323892","display_name":"Vlasov equation","level":3,"score":0.4593000113964081},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.45890000462532043},{"id":"https://openalex.org/C122890649","wikidata":"https://www.wikidata.org/wiki/Q7834016","display_name":"Transfer matrix","level":2,"score":0.4481000006198883},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.44130000472068787},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.41359999775886536},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.4043999910354614},{"id":"https://openalex.org/C80551277","wikidata":"https://www.wikidata.org/wiki/Q11210","display_name":"Coordinate system","level":2,"score":0.4004000127315521},{"id":"https://openalex.org/C202579712","wikidata":"https://www.wikidata.org/wiki/Q590051","display_name":"Dispersion relation","level":2,"score":0.3896999955177307},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.3637999892234802},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.35100001096725464},{"id":"https://openalex.org/C156005064","wikidata":"https://www.wikidata.org/wiki/Q7833984","display_name":"Transfer-matrix method (optics)","level":2,"score":0.35030001401901245},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.33340001106262207},{"id":"https://openalex.org/C159737794","wikidata":"https://www.wikidata.org/wiki/Q124274","display_name":"Azimuth","level":2,"score":0.3310000002384186},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3019999861717224},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.29420000314712524},{"id":"https://openalex.org/C162291796","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Coordinate space","level":2,"score":0.28540000319480896},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.2840000092983246},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.271699994802475},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.27079999446868896},{"id":"https://openalex.org/C2777365357","wikidata":"https://www.wikidata.org/wiki/Q7573015","display_name":"Spallation Neutron Source","level":4,"score":0.26899999380111694},{"id":"https://openalex.org/C21368211","wikidata":"https://www.wikidata.org/wiki/Q689863","display_name":"Synchrotron","level":2,"score":0.26829999685287476},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.26010000705718994},{"id":"https://openalex.org/C158453530","wikidata":"https://www.wikidata.org/wiki/Q864692","display_name":"Biorthogonal system","level":4,"score":0.2574999928474426},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.25279998779296875}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.29094","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.29094","pdf_url":"https://arxiv.org/pdf/2610.29094","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.2610.29094","doi":"https://doi.org/10.48550/arxiv.2610.29094","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.29094","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":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.29094","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.29094","pdf_url":"https://arxiv.org/pdf/2610.29094","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/G4139809779","display_name":null,"funder_award_id":"2021B1515120021","funder_id":"https://openalex.org/F4320337111","funder_display_name":"Basic and Applied Basic Research Foundation of Guangdong Province"}],"funders":[{"id":"https://openalex.org/F4320337111","display_name":"Basic and Applied Basic Research Foundation of Guangdong Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223237471.pdf","grobid_xml":"https://content.openalex.org/works/W7223237471.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2087165536","https://openalex.org/W2159485947","https://openalex.org/W2076647007","https://openalex.org/W1991659412","https://openalex.org/W2050055291","https://openalex.org/W2783541349","https://openalex.org/W3127203492","https://openalex.org/W2054944683","https://openalex.org/W3100964882","https://openalex.org/W6944263232"],"abstract_inverted_index":{"Based":[0],"on":[1],"the":[2,10,15,18,21,26,40,51,65,69,85,92,98,101,119,125,138,142,146,155],"oscillation":[3],"modes":[4,96,152],"of":[5,17,60,78,88,97,124,145],"a":[6,58,75,105],"bunch":[7],"subject":[8],"to":[9,141],"space-charge":[11],"force,":[12],"we":[13,109],"discuss":[14],"decoherence":[16],"dipole":[19,48],"oscillation,":[20],"beam":[22,27],"transfer":[23],"function,":[24],"and":[25,42,64,133,135,150],"instability.":[28],"The":[29,46,114],"longitudinal":[30,52],"phase":[31,53],"space":[32,54],"is":[33,55,72],"discretized":[34],"into":[35],"\\(n_l\\times":[36],"n_J\\)":[37,94],"grids":[38],"in":[39,50],"azimuthal":[41],"radial":[43],"directions,":[44],"respectively.":[45],"transverse":[47],"moment":[49],"represented":[56,73],"by":[57,68,74],"vector":[59],"length":[61],"\\(n_l":[62,80,93],"n_J\\),":[63],"transformation":[66,77],"given":[67],"Vlasov":[70],"equation":[71],"matrix":[76,90],"size":[79],"n_J\\times":[81],"n_l":[82],"n_J\\).":[83],"Solving":[84],"eigenvalue":[86],"problem":[87],"this":[89],"gives":[91],"eigen-oscillation":[95],"bunch.":[99],"Using":[100],"resulting":[102],"eigenvectors":[103],"within":[104],"standard":[106],"linear-algebraic":[107],"treatment,":[108],"analyze":[110],"these":[111],"three":[112],"phenomena.":[113],"analysis":[115],"was":[116],"performed":[117],"for":[118],"Rapid":[120],"Cycling":[121],"Synchrotron":[122],"(RCS)":[123],"China":[126],"Spallation":[127],"Neutron":[128],"Source":[129],"(CSNS)":[130],"using":[131],"\\(n_l=41\\)":[132],"\\(n_J=40\\),":[134],"it":[136],"visualizes":[137],"features":[139],"related":[140],"continuous":[143,156],"distribution":[144],"tune,":[147],"Landau":[148],"damping,":[149],"isolated":[151],"separated":[153],"from":[154],"tune":[157],"region.":[158]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-10-23T00:00:00"}
