{"id":"https://openalex.org/W2082715675","doi":"https://doi.org/10.1137/120894348","title":"Mellin Transform and Image Charge Method for Dielectric Sphere in an Electrolyte","display_name":"Mellin Transform and Image Charge Method for Dielectric Sphere in an Electrolyte","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2082715675","doi":"https://doi.org/10.1137/120894348","mag":"2082715675"},"language":"en","primary_location":{"id":"doi:10.1137/120894348","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120894348","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","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/A5084673397","display_name":"Zhenli Xu","orcid":"https://orcid.org/0000-0001-7645-4998"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhenli Xu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103113226","display_name":"Yihao Liang","orcid":"https://orcid.org/0000-0002-7692-4766"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yihao Liang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5032532531","display_name":"Xiangjun Xing","orcid":"https://orcid.org/0000-0003-0822-0588"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xiangjun Xing","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7318,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.85936214,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"73","issue":"4","first_page":"1396","last_page":"1415"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12274","display_name":"Electrostatics and Colloid Interactions","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12274","display_name":"Electrostatics and Colloid Interactions","score":0.9998999834060669,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.996999979019165,"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/T10474","display_name":"Material Dynamics and Properties","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/point-particle","display_name":"Point particle","score":0.5742798447608948},{"id":"https://openalex.org/keywords/poissons-equation","display_name":"Poisson's equation","score":0.5448765754699707},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.516056478023529},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4984164237976074},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.4763600826263428},{"id":"https://openalex.org/keywords/charge","display_name":"Charge (physics)","score":0.4665382206439972},{"id":"https://openalex.org/keywords/dielectric","display_name":"Dielectric","score":0.4469437599182129},{"id":"https://openalex.org/keywords/electrolyte","display_name":"Electrolyte","score":0.4408239722251892},{"id":"https://openalex.org/keywords/mellin-transform","display_name":"Mellin transform","score":0.43538427352905273},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.429233580827713},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4067855775356293},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4001000225543976},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.373704195022583},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3244832754135132},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.21585425734519958},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.19570696353912354},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1903405487537384},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1819792091846466},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.12181299924850464}],"concepts":[{"id":"https://openalex.org/C175749648","wikidata":"https://www.wikidata.org/wiki/Q1068091","display_name":"Point particle","level":2,"score":0.5742798447608948},{"id":"https://openalex.org/C96716743","wikidata":"https://www.wikidata.org/wiki/Q827688","display_name":"Poisson's equation","level":2,"score":0.5448765754699707},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.516056478023529},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4984164237976074},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.4763600826263428},{"id":"https://openalex.org/C188082385","wikidata":"https://www.wikidata.org/wiki/Q73792","display_name":"Charge (physics)","level":2,"score":0.4665382206439972},{"id":"https://openalex.org/C133386390","wikidata":"https://www.wikidata.org/wiki/Q184996","display_name":"Dielectric","level":2,"score":0.4469437599182129},{"id":"https://openalex.org/C68801617","wikidata":"https://www.wikidata.org/wiki/Q162908","display_name":"Electrolyte","level":3,"score":0.4408239722251892},{"id":"https://openalex.org/C199874217","wikidata":"https://www.wikidata.org/wiki/Q606934","display_name":"Mellin transform","level":3,"score":0.43538427352905273},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.429233580827713},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4067855775356293},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4001000225543976},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.373704195022583},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3244832754135132},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.21585425734519958},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.19570696353912354},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1903405487537384},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1819792091846466},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.12181299924850464},{"id":"https://openalex.org/C17525397","wikidata":"https://www.wikidata.org/wiki/Q176140","display_name":"Electrode","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/120894348","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120894348","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.761.9095","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.761.9095","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1210.2180.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W560693694","https://openalex.org/W604181985","https://openalex.org/W1522757772","https://openalex.org/W1870974257","https://openalex.org/W1969963483","https://openalex.org/W1971765381","https://openalex.org/W1973960985","https://openalex.org/W1974167806","https://openalex.org/W1978976525","https://openalex.org/W1984456538","https://openalex.org/W1996160600","https://openalex.org/W1996230008","https://openalex.org/W1997596874","https://openalex.org/W2001676859","https://openalex.org/W2013979082","https://openalex.org/W2022211519","https://openalex.org/W2027369153","https://openalex.org/W2027638447","https://openalex.org/W2035454388","https://openalex.org/W2035771342","https://openalex.org/W2047361707","https://openalex.org/W2051712003","https://openalex.org/W2053340393","https://openalex.org/W2056760934","https://openalex.org/W2065405988","https://openalex.org/W2066177447","https://openalex.org/W2068306188","https://openalex.org/W2069002738","https://openalex.org/W2081051346","https://openalex.org/W2083206954","https://openalex.org/W2084236951","https://openalex.org/W2094879588","https://openalex.org/W2099406764","https://openalex.org/W2099456305","https://openalex.org/W2117904766","https://openalex.org/W2117926105","https://openalex.org/W2132820941","https://openalex.org/W2137783128","https://openalex.org/W2143642421","https://openalex.org/W2168796481","https://openalex.org/W2323534992","https://openalex.org/W2410163017","https://openalex.org/W2615109447","https://openalex.org/W2981264952","https://openalex.org/W3038515387","https://openalex.org/W3099374377","https://openalex.org/W3103772912","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4287900545","https://openalex.org/W3004152922","https://openalex.org/W2010751632","https://openalex.org/W2076088143","https://openalex.org/W2070662400","https://openalex.org/W2383245214","https://openalex.org/W2121106507","https://openalex.org/W2167080753","https://openalex.org/W3023274365","https://openalex.org/W1995836074"],"abstract_inverted_index":{"We":[0,81],"revisit":[1],"the":[2,7,12,29,38,61,70,92,105],"image":[3,48,51,59,67,94],"charge":[4,36,79],"method":[5,109],"for":[6,15,89],"Green's":[8],"function":[9],"problem":[10],"of":[11,42,47,56,91,107,120],"Poisson--Boltzmann":[13],"equation":[14],"a":[16,34,43,57,65,114],"dielectric":[17],"sphere":[18,39],"immersed":[19],"in":[20,40,113],"ionic":[21],"solutions.":[22],"Using":[23],"finite":[24,99],"Mellin":[25],"transformation,":[26],"we":[27,103],"represent":[28],"reaction":[30],"potential":[31],"due":[32],"to":[33,73],"source":[35],"inside":[37],"terms":[41],"one":[44],"dimensional":[45],"distribution":[46],"charges.":[49],"The":[50],"charges":[52],"are":[53],"generically":[54],"composed":[55],"point":[58,63,72],"at":[60],"Kelvin":[62,71],"and":[64,86,98],"line":[66,78,93],"extending":[68],"from":[69],"infinity":[74],"with":[75],"an":[76,84],"oscillatory":[77],"strength.":[80],"further":[82],"develop":[83],"efficient":[85],"accurate":[87],"algorithm":[88],"discretization":[90],"using":[95],"Pad\u00e9":[96],"approximation":[97],"fraction":[100],"expansion.":[101],"Finally,":[102],"illustrate":[104],"power":[106],"our":[108],"by":[110],"applying":[111],"it":[112],"multiscale":[115],"reaction-field":[116],"Monte":[117],"Carlo":[118],"simulation":[119],"monovalent":[121],"electrolytes.":[122]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}