Yayın:
An analysis of dielectric relaxation using the fractional master equation of the stochastic Ising model

Basit Görünüm
dc.contributor.authorÇavuş, M. Serdar
dc.date.accessioned2026-01-02T19:59:44Z
dc.date.issued2011-01-01
dc.description.abstractAbstract In this paper, we begin introducing some basic definitions and mathematical preliminaries of the fractional calculus theory. By using the fractional calculus technique (that is, calculus of derivatives and integrals of any arbitrary real or complex order) a solution of the fractional master equation derived from the stochastic Ising model of Glauber has been obtained and the result is applied to an analysis of the dielectric relaxation processes. From the solution of the equation, the Cole–Cole dispersion relation, KWW (Kohlrausch–William–Watts) equation and algebraic decay relaxation functions are obtained easily. Then these functions are compared with Bozdemir's earlier analysis of the stochastic Ising model.
dc.description.urihttps://doi.org/10.1016/j.jnoncrysol.2010.09.029
dc.description.urihttps://dx.doi.org/10.1016/j.jnoncrysol.2010.09.029
dc.identifier.doi10.1016/j.jnoncrysol.2010.09.029
dc.identifier.endpage205
dc.identifier.issn0022-3093
dc.identifier.openairedoi_dedup___::b4ec35e7264c7f936d619e9e9dac4cef
dc.identifier.orcid0000-0002-3721-0883
dc.identifier.scopus2-s2.0-78649742264
dc.identifier.startpage202
dc.identifier.urihttps://hdl.handle.net/20.500.12597/35511
dc.identifier.volume357
dc.identifier.wos000286173300036
dc.language.isoeng
dc.publisherElsevier BV
dc.relation.ispartofJournal of Non-Crystalline Solids
dc.rightsCLOSED
dc.titleAn analysis of dielectric relaxation using the fractional master equation of the stochastic Ising model
dc.typeArticle
dspace.entity.typePublication
local.api.response{"authors":[{"fullName":"M. Serdar Çavuş","name":"M. Serdar","surname":"Çavuş","rank":1,"pid":{"id":{"scheme":"orcid","value":"0000-0002-3721-0883"},"provenance":null}}],"openAccessColor":null,"publiclyFunded":false,"type":"publication","language":{"code":"eng","label":"English"},"countries":null,"subjects":[{"subject":{"scheme":"FOS","value":"0103 physical sciences"},"provenance":null},{"subject":{"scheme":"FOS","value":"02 engineering and technology"},"provenance":null},{"subject":{"scheme":"FOS","value":"0210 nano-technology"},"provenance":null},{"subject":{"scheme":"FOS","value":"01 natural sciences"},"provenance":null}],"mainTitle":"An analysis of dielectric relaxation using the fractional master equation of the stochastic Ising model","subTitle":null,"descriptions":["Abstract In this paper, we begin introducing some basic definitions and mathematical preliminaries of the fractional calculus theory. By using the fractional calculus technique (that is, calculus of derivatives and integrals of any arbitrary real or complex order) a solution of the fractional master equation derived from the stochastic Ising model of Glauber has been obtained and the result is applied to an analysis of the dielectric relaxation processes. From the solution of the equation, the Cole–Cole dispersion relation, KWW (Kohlrausch–William–Watts) equation and algebraic decay relaxation functions are obtained easily. Then these functions are compared with Bozdemir's earlier analysis of the stochastic Ising model."],"publicationDate":"2011-01-01","publisher":"Elsevier BV","embargoEndDate":null,"sources":["Crossref"],"formats":null,"contributors":null,"coverages":null,"bestAccessRight":{"code":"c_14cb","label":"CLOSED","scheme":"http://vocabularies.coar-repositories.org/documentation/access_rights/"},"container":{"name":"Journal of Non-Crystalline Solids","issnPrinted":"0022-3093","issnOnline":null,"issnLinking":null,"ep":"205","iss":null,"sp":"202","vol":"357","edition":null,"conferencePlace":null,"conferenceDate":null},"documentationUrls":null,"codeRepositoryUrl":null,"programmingLanguage":null,"contactPeople":null,"contactGroups":null,"tools":null,"size":null,"version":null,"geoLocations":null,"id":"doi_dedup___::b4ec35e7264c7f936d619e9e9dac4cef","originalIds":["S0022309310006769","10.1016/j.jnoncrysol.2010.09.029","50|doiboost____|b4ec35e7264c7f936d619e9e9dac4cef","1997147517"],"pids":[{"scheme":"doi","value":"10.1016/j.jnoncrysol.2010.09.029"}],"dateOfCollection":null,"lastUpdateTimeStamp":null,"indicators":{"citationImpact":{"citationCount":1,"influence":2.6023654e-9,"popularity":5.521602e-10,"impulse":0,"citationClass":"C5","influenceClass":"C5","impulseClass":"C5","popularityClass":"C5"}},"instances":[{"pids":[{"scheme":"doi","value":"10.1016/j.jnoncrysol.2010.09.029"}],"license":"Elsevier TDM","type":"Article","urls":["https://doi.org/10.1016/j.jnoncrysol.2010.09.029"],"publicationDate":"2011-01-01","refereed":"peerReviewed"},{"alternateIdentifiers":[{"scheme":"doi","value":"10.1016/j.jnoncrysol.2010.09.029"},{"scheme":"mag_id","value":"1997147517"}],"type":"Article","urls":["https://dx.doi.org/10.1016/j.jnoncrysol.2010.09.029"],"refereed":"nonPeerReviewed"}],"isGreen":false,"isInDiamondJournal":false}
local.import.sourceOpenAire
local.indexed.atWOS
local.indexed.atScopus

Dosyalar

Koleksiyonlar

Publications