{"id":"https://openalex.org/W7204075795","doi":"https://doi.org/10.1088/1402-4896/ae9dfd","title":"Stochastic cyclotron acceleration in fluctuating transverse electric fields: a Fokker\u2013Planck approach","display_name":"Stochastic cyclotron acceleration in fluctuating transverse electric fields: a Fokker\u2013Planck approach","publication_year":2026,"publication_date":"2026-08-24","ids":{"openalex":"https://openalex.org/W7204075795","doi":"https://doi.org/10.1088/1402-4896/ae9dfd"},"language":"en","primary_location":{"id":"doi:10.1088/1402-4896/ae9dfd","doi":"https://doi.org/10.1088/1402-4896/ae9dfd","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1402-4896/ae9dfd","pdf_url":"https://iopscience.iop.org/article/10.1088/1402-4896/ae9dfd/pdf","source":{"id":"https://openalex.org/S59012888","display_name":"Physica Scripta","issn_l":"0031-8949","issn":["0031-8949","1402-4896"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","ki-jl-1","norway-1","poland-40","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physica Scripta","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://iopscience.iop.org/article/10.1088/1402-4896/ae9dfd/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076031629","display_name":"Ashish Kumar Gupta","orcid":"https://orcid.org/0000-0002-3745-698X","observed_orcids":["https://orcid.org/0000-0002-3745-698X","https://orcid.org/0009-0005-8838-9587"]},"institutions":[{"id":"https://openalex.org/I2534966","display_name":"Patna University","ror":"https://ror.org/04ysp6769","country_code":"IN","type":"education","lineage":["https://openalex.org/I2534966"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Ashish Kumar Gupta","raw_affiliation_strings":["Patna University"],"raw_orcid":"https://orcid.org/0009-0005-8838-9587","affiliations":[{"raw_affiliation_string":"Patna University","institution_ids":["https://openalex.org/I2534966"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5147996969","display_name":"Dinesh Kumar","orcid":"https://orcid.org/0009-0001-6655-4693","observed_orcids":["https://orcid.org/0009-0001-6655-4693"]},"institutions":[{"id":"https://openalex.org/I2534966","display_name":"Patna University","ror":"https://ror.org/04ysp6769","country_code":"IN","type":"education","lineage":["https://openalex.org/I2534966"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Dinesh Kumar","raw_affiliation_strings":["Patna University"],"raw_orcid":"https://orcid.org/0009-0001-6655-4693","affiliations":[{"raw_affiliation_string":"Patna University","institution_ids":["https://openalex.org/I2534966"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5076031629"],"corresponding_institution_ids":["https://openalex.org/I2534966"],"apc_list":{"value":2400,"currency":"USD","value_usd":2400},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"101","issue":"38","first_page":"385604","last_page":"385604"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10251","display_name":"Solar and Space Plasma Dynamics","score":0.9330999851226807,"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/T10251","display_name":"Solar and Space Plasma Dynamics","score":0.9330999851226807,"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":0.03290000185370445,"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/T11603","display_name":"Dust and Plasma Wave Phenomena","score":0.008999999612569809,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/stochastic-acceleration","display_name":"stochastic acceleration","score":0.625},{"id":"https://openalex.org/keywords/cyclotron-resonance","display_name":"cyclotron resonance","score":0.9909999966621399},{"id":"https://openalex.org/keywords/fokker-planck-equation","display_name":"Fokker-Planck equation","score":0.8339999914169312},{"id":"https://openalex.org/keywords/gaussian-fluctuations","display_name":"Gaussian fluctuations","score":0.44999998807907104},{"id":"https://openalex.org/keywords/guiding-center-drift","display_name":"guiding center drift","score":0.7870000004768372},{"id":"https://openalex.org/keywords/diffusion-coefficient","display_name":"diffusion coefficient","score":0.746999979019165},{"id":"https://openalex.org/keywords/two-time-correlation-functions","display_name":"two-time correlation functions","score":0.8610000014305115},{"id":"https://openalex.org/keywords/energy-distribution-function","display_name":"energy distribution function","score":0.7170000076293945},{"id":"https://openalex.org/keywords/modified-bessel-functions","display_name":"modified Bessel functions","score":0.8100000023841858},{"id":"https://openalex.org/keywords/collisionless-plasma","display_name":"collisionless plasma","score":0.7429999709129333},{"id":"https://openalex.org/keywords/solar-wind","display_name":"solar wind","score":0.7039999961853027},{"id":"https://openalex.org/keywords/magnetospheric-plasma","display_name":"magnetospheric plasma","score":0.7580000162124634},{"id":"https://openalex.org/keywords/stochastic-heating","display_name":"stochastic heating","score":0.43799999356269836}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8511999845504761},{"id":"https://openalex.org/C75183268","wikidata":"https://www.wikidata.org/wiki/Q7140491","display_name":"Particle acceleration","level":3,"score":0.6392999887466431},{"id":"https://openalex.org/C60799052","wikidata":"https://www.wikidata.org/wiki/Q46221","display_name":"Electric field","level":2,"score":0.5687999725341797},{"id":"https://openalex.org/C118818666","wikidata":"https://www.wikidata.org/wiki/Q285075","display_name":"Guiding center","level":3,"score":0.5436000227928162},{"id":"https://openalex.org/C30475298","wikidata":"https://www.wikidata.org/wiki/Q909554","display_name":"Computational physics","level":1,"score":0.5347999930381775},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.51419997215271},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"score":0.5047000050544739},{"id":"https://openalex.org/C39527238","wikidata":"https://www.wikidata.org/wiki/Q204469","display_name":"Cyclotron","level":3,"score":0.4708999991416931},{"id":"https://openalex.org/C132427895","wikidata":"https://www.wikidata.org/wiki/Q3090439","display_name":"Cyclotron resonance","level":4,"score":0.420199990272522},{"id":"https://openalex.org/C91571402","wikidata":"https://www.wikidata.org/wiki/Q1194458","display_name":"Gyroradius","level":3,"score":0.4124999940395355},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.4122999906539917},{"id":"https://openalex.org/C196558001","wikidata":"https://www.wikidata.org/wiki/Q190132","display_name":"Turbulence","level":2,"score":0.4081000089645386},{"id":"https://openalex.org/C82706917","wikidata":"https://www.wikidata.org/wiki/Q10251","display_name":"Plasma","level":2,"score":0.4049000144004822},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.40230000019073486},{"id":"https://openalex.org/C35048267","wikidata":"https://www.wikidata.org/wiki/Q587553","display_name":"Charged particle","level":3,"score":0.3919999897480011},{"id":"https://openalex.org/C2778297186","wikidata":"https://www.wikidata.org/wiki/Q5625393","display_name":"Gyration","level":2,"score":0.38280001282691956},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.38019999861717224},{"id":"https://openalex.org/C184050105","wikidata":"https://www.wikidata.org/wiki/Q273163","display_name":"Isotropy","level":2,"score":0.3698999881744385},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.3513000011444092},{"id":"https://openalex.org/C15227799","wikidata":"https://www.wikidata.org/wiki/Q6731684","display_name":"Magnetosphere particle motion","level":3,"score":0.3449999988079071},{"id":"https://openalex.org/C205606062","wikidata":"https://www.wikidata.org/wiki/Q5249645","display_name":"Decoupling (probability)","level":2,"score":0.3343000113964081},{"id":"https://openalex.org/C154954056","wikidata":"https://www.wikidata.org/wiki/Q1604164","display_name":"Transverse plane","level":2,"score":0.3325999975204468},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.32910001277923584},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.32710000872612},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.3244999945163727},{"id":"https://openalex.org/C3079626","wikidata":"https://www.wikidata.org/wiki/Q234881","display_name":"Quantum electrodynamics","level":1,"score":0.3237999975681305},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.3075999915599823},{"id":"https://openalex.org/C175361016","wikidata":"https://www.wikidata.org/wiki/Q245591","display_name":"Electron cyclotron resonance","level":3,"score":0.2971999943256378},{"id":"https://openalex.org/C193055867","wikidata":"https://www.wikidata.org/wiki/Q638030","display_name":"Ion cyclotron resonance","level":4,"score":0.29420000314712524},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.290800005197525},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.28130000829696655},{"id":"https://openalex.org/C168986899","wikidata":"https://www.wikidata.org/wiki/Q756307","display_name":"Mean free path","level":3,"score":0.2736999988555908},{"id":"https://openalex.org/C184779094","wikidata":"https://www.wikidata.org/wiki/Q26383","display_name":"Atomic physics","level":1,"score":0.27230000495910645},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2587999999523163},{"id":"https://openalex.org/C36819163","wikidata":"https://www.wikidata.org/wiki/Q287506","display_name":"Magnetic reconnection","level":3,"score":0.25679999589920044},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.2513999938964844}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1088/1402-4896/ae9dfd","doi":"https://doi.org/10.1088/1402-4896/ae9dfd","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1402-4896/ae9dfd","pdf_url":"https://iopscience.iop.org/article/10.1088/1402-4896/ae9dfd/pdf","source":{"id":"https://openalex.org/S59012888","display_name":"Physica Scripta","issn_l":"0031-8949","issn":["0031-8949","1402-4896"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","ki-jl-1","norway-1","poland-40","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physica Scripta","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1088/1402-4896/ae9dfd","doi":"https://doi.org/10.1088/1402-4896/ae9dfd","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1402-4896/ae9dfd","pdf_url":"https://iopscience.iop.org/article/10.1088/1402-4896/ae9dfd/pdf","source":{"id":"https://openalex.org/S59012888","display_name":"Physica Scripta","issn_l":"0031-8949","issn":["0031-8949","1402-4896"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","ki-jl-1","norway-1","poland-40","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physica Scripta","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204075795.pdf","grobid_xml":"https://content.openalex.org/works/W7204075795.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W337816440","https://openalex.org/W1963701191","https://openalex.org/W1969146665","https://openalex.org/W1974332423","https://openalex.org/W1974760079","https://openalex.org/W2003436272","https://openalex.org/W2013906959","https://openalex.org/W2023184584","https://openalex.org/W2032796170","https://openalex.org/W2033852250","https://openalex.org/W2075058524","https://openalex.org/W2087639189","https://openalex.org/W2087910492","https://openalex.org/W2121985084","https://openalex.org/W2138030864","https://openalex.org/W2162488624","https://openalex.org/W2165338232","https://openalex.org/W2329708120","https://openalex.org/W2520991943","https://openalex.org/W2942087474","https://openalex.org/W2949229723","https://openalex.org/W2994035181"],"related_works":["https://openalex.org/W4246409641","https://openalex.org/W2050616716","https://openalex.org/W4410596997","https://openalex.org/W7171663842","https://openalex.org/W4403406219","https://openalex.org/W1650301188","https://openalex.org/W2071509345","https://openalex.org/W2053418895","https://openalex.org/W2094238444","https://openalex.org/W2003436272"],"abstract_inverted_index":{"Abstract":[0],"Particle":[1],"acceleration":[2,26],"in":[3,31,174,210,228],"magnetized":[4],"plasmas":[5],"often":[6],"occurs":[7],"through":[8],"resonant":[9],"interactions":[10],"with":[11,201],"transverse":[12],"electric":[13,44,97,117],"field":[14,35,118],"fluctuations.":[15],"This":[16,187],"study":[17],"presents":[18],"a":[19,28,32,38,60,124,198,202,244,250],"detailed":[20],"analytical":[21,133],"derivation":[22],"of":[23,27,49,51,55,94,115,176,180,240],"the":[24,47,53,65,70,74,80,90,95,101,107,116,120,131,136,181,190,211,224,229,238],"stochastic":[25,96,245],"charged":[29],"particle":[30,260],"uniform":[33],"magnetic":[34],"subjected":[36],"to":[37,106,197,258],"time-varying,":[39],"statistically":[40],"isotropic":[41],"Gaussian":[42],"white-noise":[43],"field.":[45],"Using":[46],"method":[48],"variation":[50],"parameters,":[52],"equations":[54],"motion":[56],"are":[57],"transformed":[58],"into":[59],"complex":[61],"evolution":[62],"equation":[63],"for":[64,135,253],"gyration":[66],"amplitude,":[67],"effectively":[68],"decoupling":[69],"guiding-center":[71],"drift":[72],"from":[73,89,192],"gyratory":[75],"motion.":[76],"We":[77],"explicitly":[78,208],"derive":[79],"Fokker\u2013Planck":[81],"diffusion":[82,102],"coefficients":[83],"D":[84,87,148,158,169],"1":[85,147,149,159,170],"and":[86,232,248],"2":[88,165],"two-time":[91],"correlation":[92],"function":[93],"field,":[98],"demonstrating":[99],"that":[100],"rate":[103],"is":[104,207],"proportional":[105],"spectral":[108],"density":[109],"W":[110],"(":[111,141,164],"\u03c9":[112],"g":[113],")":[114,145,172],"at":[119],"cyclotron":[121,241],"resonance.":[122],"For":[123],"constant":[125],"(white-noise)":[126],"energy":[127,137],"spectrum":[128],"we":[129],"obtain":[130],"exact":[132],"solution":[134],"distribution":[138,200],"function,":[139],"F":[140],"w":[142,154,156,166,167],",":[143,173],"t":[144,150,160,171],"=":[146],"exp":[151],"[":[152],"\u2212":[153],"+":[155],"0":[157,163,168,185],"]":[161],"I":[162,184],"terms":[175],"modified":[177],"Bessel":[178],"functions":[179],"first":[182],"kind":[183],".":[186],"result":[188],"describes":[189],"transition":[191],"an":[193],"initial":[194],"mono-energetic":[195],"state":[196],"non-thermal":[199],"high-energy":[203],"tail.":[204],"The":[205],"model":[206],"valid":[209],"dilute,":[212],"collisionless":[213],"plasma":[214],"regime":[215],"where":[216],"Coulomb":[217],"collision":[218],"mean":[219],"free":[220],"paths":[221],"greatly":[222],"exceed":[223],"system":[225],"scale,":[226],"as":[227,243],"solar":[230],"wind":[231],"magnetospheric":[233],"environments.":[234],"Our":[235],"findings":[236],"quantify":[237],"efficiency":[239],"resonance":[242],"heating":[246],"process":[247],"offer":[249],"predictive":[251],"tool":[252],"relating":[254],"observed":[255],"turbulence":[256],"spectra":[257],"accelerated":[259],"populations.":[261]},"counts_by_year":[],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2026-08-25T00:00:00"}