{"id":"https://openalex.org/W7225634850","doi":"https://doi.org/10.1021/acs.jpca.6c05277","title":"Nonparametric Analysis of Nonexponential Relaxation: Standard and Two-Dimensional Kinetics","display_name":"Nonparametric Analysis of Nonexponential Relaxation: Standard and Two-Dimensional Kinetics","publication_year":2026,"publication_date":"2026-11-09","ids":{"openalex":"https://openalex.org/W7225634850","doi":"https://doi.org/10.1021/acs.jpca.6c05277"},"language":"en","primary_location":{"id":"doi:10.1021/acs.jpca.6c05277","doi":"https://doi.org/10.1021/acs.jpca.6c05277","is_oa":false,"landing_page_url":"https://doi.org/10.1021/acs.jpca.6c05277","pdf_url":null,"source":{"id":"https://openalex.org/S146709414","display_name":"The Journal of Physical Chemistry A","issn_l":"1089-5639","issn":["1089-5639","1520-5215"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320006","host_organization_name":"American Chemical Society","host_organization_lineage":["https://openalex.org/P4310320006"],"host_organization_lineage_names":["American Chemical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Physical Chemistry A","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5102977857","display_name":"Mainak Dhar","orcid":"https://orcid.org/0000-0003-2771-4014","observed_orcids":["https://orcid.org/0000-0003-2771-4014"]},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mainak Dhar","raw_affiliation_strings":["University of South Carolina , , , ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of South Carolina , , , ,","institution_ids":["https://openalex.org/I155781252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014637646","display_name":"Biswajit Manna","orcid":"https://orcid.org/0000-0002-0409-8004","observed_orcids":["https://orcid.org/0000-0002-0409-8004"]},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Biswajit Manna","raw_affiliation_strings":["University of South Carolina , , , ,"],"raw_orcid":"https://orcid.org/0000-0002-0409-8004","affiliations":[{"raw_affiliation_string":"University of South Carolina , , , ,","institution_ids":["https://openalex.org/I155781252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084657947","display_name":"Mark A. Berg","orcid":"https://orcid.org/0000-0002-9063-4810","observed_orcids":["https://orcid.org/0000-0002-9063-4810"]},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mark A. Berg","raw_affiliation_strings":["University of South Carolina , , , ,"],"raw_orcid":"https://orcid.org/0000-0002-9063-4810","affiliations":[{"raw_affiliation_string":"University of South Carolina , , , ,","institution_ids":["https://openalex.org/I155781252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5084657947"],"corresponding_institution_ids":["https://openalex.org/I155781252"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"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":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10474","display_name":"Material Dynamics and Properties","score":0.6621000170707703,"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"}},"topics":[{"id":"https://openalex.org/T10474","display_name":"Material Dynamics and Properties","score":0.6621000170707703,"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"}},{"id":"https://openalex.org/T10721","display_name":"Surfactants and Colloidal Systems","score":0.0877000018954277,"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/T11129","display_name":"Photochemistry and Electron Transfer Studies","score":0.06560000032186508,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/non-exponential-relaxation","display_name":"non-exponential relaxation","score":0.9279999732971191},{"id":"https://openalex.org/keywords/spectral-representation","display_name":"spectral representation","score":0.6740000247955322},{"id":"https://openalex.org/keywords/relaxation-kinetics","display_name":"relaxation kinetics","score":0.5199999809265137},{"id":"https://openalex.org/keywords/stretched-exponential","display_name":"stretched exponential","score":0.6290000081062317},{"id":"https://openalex.org/keywords/multidimensional-nmr","display_name":"multidimensional NMR","score":0.6909999847412109},{"id":"https://openalex.org/keywords/micelles","display_name":"micelles","score":0.5270000100135803}],"concepts":[{"id":"https://openalex.org/C102366305","wikidata":"https://www.wikidata.org/wiki/Q1097688","display_name":"Nonparametric statistics","level":2,"score":0.7193999886512756},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5378000140190125},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.534500002861023},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5299000144004822},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.483599990606308},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4657999873161316},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.4569000005722046},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.44679999351501465},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.43130001425743103},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.4034999907016754},{"id":"https://openalex.org/C21080849","wikidata":"https://www.wikidata.org/wiki/Q13611879","display_name":"Data point","level":2,"score":0.3781999945640564},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37130001187324524},{"id":"https://openalex.org/C55037315","wikidata":"https://www.wikidata.org/wiki/Q5421151","display_name":"Experimental data","level":2,"score":0.3605000078678131},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.34290000796318054},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33149999380111694},{"id":"https://openalex.org/C135889238","wikidata":"https://www.wikidata.org/wiki/Q46276","display_name":"Kinetic energy","level":2,"score":0.28220000863075256},{"id":"https://openalex.org/C3019022308","wikidata":"https://www.wikidata.org/wiki/Q1418353","display_name":"Multidimensional data","level":2,"score":0.2702000141143799},{"id":"https://openalex.org/C93959086","wikidata":"https://www.wikidata.org/wiki/Q6888345","display_name":"Model selection","level":2,"score":0.2667999863624573},{"id":"https://openalex.org/C24574437","wikidata":"https://www.wikidata.org/wiki/Q7135228","display_name":"Parametric model","level":3,"score":0.2635999917984009},{"id":"https://openalex.org/C74127309","wikidata":"https://www.wikidata.org/wiki/Q3455886","display_name":"Nonparametric regression","level":3,"score":0.2567000091075897},{"id":"https://openalex.org/C4839761","wikidata":"https://www.wikidata.org/wiki/Q212111","display_name":"Spectral line","level":2,"score":0.2526000142097473}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1021/acs.jpca.6c05277","doi":"https://doi.org/10.1021/acs.jpca.6c05277","is_oa":false,"landing_page_url":"https://doi.org/10.1021/acs.jpca.6c05277","pdf_url":null,"source":{"id":"https://openalex.org/S146709414","display_name":"The Journal of Physical Chemistry A","issn_l":"1089-5639","issn":["1089-5639","1520-5215"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","ki-jl-1","medline","norway-1","poland-100","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320006","host_organization_name":"American Chemical Society","host_organization_lineage":["https://openalex.org/P4310320006"],"host_organization_lineage_names":["American Chemical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Journal of Physical Chemistry A","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320337393","display_name":"Division of Chemistry","ror":"https://ror.org/01ar8dr59"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":67,"referenced_works":["https://openalex.org/W636177452","https://openalex.org/W641544850","https://openalex.org/W1486726011","https://openalex.org/W1492117821","https://openalex.org/W1596294641","https://openalex.org/W1964927075","https://openalex.org/W1966600252","https://openalex.org/W1976529797","https://openalex.org/W1981291582","https://openalex.org/W1991913235","https://openalex.org/W1993211082","https://openalex.org/W1998857685","https://openalex.org/W2001521284","https://openalex.org/W2002452085","https://openalex.org/W2004712789","https://openalex.org/W2018557937","https://openalex.org/W2019453149","https://openalex.org/W2022769257","https://openalex.org/W2026039351","https://openalex.org/W2026319590","https://openalex.org/W2028316962","https://openalex.org/W2031165647","https://openalex.org/W2033242948","https://openalex.org/W2033645650","https://openalex.org/W2037008469","https://openalex.org/W2050096682","https://openalex.org/W2053058223","https://openalex.org/W2056638364","https://openalex.org/W2059570404","https://openalex.org/W2062292274","https://openalex.org/W2065096101","https://openalex.org/W2080248725","https://openalex.org/W2084424160","https://openalex.org/W2087313085","https://openalex.org/W2088654232","https://openalex.org/W2093111814","https://openalex.org/W2121378814","https://openalex.org/W2121402967","https://openalex.org/W2122825543","https://openalex.org/W2125057855","https://openalex.org/W2126635360","https://openalex.org/W2128925507","https://openalex.org/W2135046866","https://openalex.org/W2143207467","https://openalex.org/W2143921433","https://openalex.org/W2313089957","https://openalex.org/W2317530891","https://openalex.org/W2322456297","https://openalex.org/W2323218468","https://openalex.org/W2327104503","https://openalex.org/W2333385012","https://openalex.org/W2483407058","https://openalex.org/W2494202508","https://openalex.org/W2519636959","https://openalex.org/W2560697946","https://openalex.org/W2583773766","https://openalex.org/W2585444676","https://openalex.org/W2606546936","https://openalex.org/W2899349507","https://openalex.org/W2900730383","https://openalex.org/W2980444281","https://openalex.org/W3157342496","https://openalex.org/W3189730287","https://openalex.org/W4235395019","https://openalex.org/W4385475970","https://openalex.org/W4400809148","https://openalex.org/W7223930550"],"related_works":["https://openalex.org/W2032054005","https://openalex.org/W2585444676","https://openalex.org/W7054812434","https://openalex.org/W2522051354","https://openalex.org/W1772113289","https://openalex.org/W1988978836","https://openalex.org/W1971671919","https://openalex.org/W2029250622","https://openalex.org/W1984291279","https://openalex.org/W2005076538"],"abstract_inverted_index":{"Abstract":[0],"When":[1],"a":[2,10,48,78,138],"system\u2019s":[3],"relaxation":[4,101],"is":[5,18,39,51],"not":[6,115],"well":[7],"described":[8],"by":[9,96],"single":[11],"rate":[12],"constant,":[13],"the":[14,22,54,59,68,100,107,110],"range":[15],"of":[16,109,141],"results":[17],"often":[19],"restricted":[20],"before":[21],"data":[23,73,111,136],"are":[24,65,74,93,104,130],"analyzed.":[25],"This":[26,113],"paper":[27],"presents":[28],"an":[29],"alternative,":[30],"\u201cdata-first\u201d":[31],"approach":[32],"that":[33,64,98],"avoids":[34,58],"these":[35],"restrictions.":[36],"The":[37],"method":[38,114],"nonparametric:":[40],"no":[41],"model":[42],"or":[43],"fitting":[44],"function,":[45],"such":[46],"as":[47],"stretched":[49],"exponential,":[50],"used.":[52],"At":[53],"same":[55],"time,":[56],"it":[57,120],"ambiguities":[60],"in":[61,144],"nonparametric":[62],"approaches":[63],"based":[66],"on":[67],"inverse":[69],"Laplace":[70],"transform.":[71],"Experimental":[72],"initially":[75],"transformed":[76],"into":[77],"spectral":[79],"representation,":[80],"which":[81],"helps":[82],"to":[83,106,124],"visualize":[84],"their":[85],"important":[86],"features":[87],"and":[88,134],"limitations.":[89],"These":[90,128],"kinetic":[91],"spectra":[92],"then":[94],"quantified":[95],"\u201cdescriptors\u201d":[97],"characterize":[99],"mechanism":[102],"but":[103],"insensitive":[105],"details":[108],"analysis.":[112],"only":[116],"treats":[117],"standard":[118],"kinetics;":[119],"also":[121],"extends":[122],"naturally":[123],"newer,":[125],"multidimensional":[126],"experiments.":[127],"ideas":[129],"illustrated":[131],"with":[132],"one-":[133],"two-dimensional":[135],"from":[137],"recent":[139],"study":[140],"solute":[142],"rotation":[143],"micelles.":[145]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-10T00:00:00"}