Publication:
Ising model with competing interactions on Cayley tree of order four : an analytic solution

dc.contributor.affiliation#PLACEHOLDER_PARENT_METADATA_VALUE#en_US
dc.contributor.authorRukiah binti Alien_US
dc.date.accessioned2024-10-09T07:47:28Z
dc.date.available2024-10-09T07:47:28Z
dc.date.issued2013
dc.description.abstractIn this research, we investigate an Ising model with two restricted competing interactions (nearest neighbors, and one-level neighbors) on the Cayley tree of order four. We derive recurrent equation for the Cayley tree of order k. We found an analytic solution for a given interactions in the case of order 4. Our result of the critical curve shows the existence of the phase transition occurs in this model. This is a continuous study from the paper of (Ganikhodjaev N.N., 2002; Ganikhodjaev N.N., C H Pah, and M R B Wahiddin, 2003; Farrukh, M., Rozikov, U.A., 2005). Our investigation in this case is based on the recurrence equation of the partition function. We also give the calculation of the free energy from the description of Gibbs measure of the given Hamiltonian on Cayley tree of order four.en_US
dc.description.callnumbert QC 174.85 I8 R934I 2013en_US
dc.description.degreelevelMasteren_US
dc.description.identifierThesis : Ising model with competing interactions on Cayley tree of order four : an analytic solution /by Rukiah Binti Alien_US
dc.description.identityt00011291509Rukiahen_US
dc.description.kulliyahKulliyyah of Scienceen_US
dc.description.notesThesis (MSCTS)--International Islamic University Malaysia, 2013en_US
dc.description.physicaldescriptionxi, 36 leaves : ill. ; 30cm.en_US
dc.description.programmeMaster (Computational and Theoretical Sciences)en_US
dc.identifier.urihttps://studentrepo.iium.edu.my/handle/123456789/11384
dc.identifier.urlhttps://lib.iium.edu.my/mom/services/mom/document/getFile/1JNOCEPeDYojXUBM8NTUKFp7TrXzbMKT20140311092036352
dc.language.isoenen_US
dc.publisherKuala Lumpur: International Islamic University Malaysia, 2013en_US
dc.rightsCopyright International Islamic University Malaysia
dc.subject.lcshIsing modelen_US
dc.subject.lcshCayley graphsen_US
dc.subject.lcshProbability measuresen_US
dc.titleIsing model with competing interactions on Cayley tree of order four : an analytic solutionen_US
dc.typeMaster Thesisen_US
dspace.entity.typePublication

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