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.author | Rukiah binti Ali | en_US |
dc.date.accessioned | 2024-10-09T07:47:28Z | |
dc.date.available | 2024-10-09T07:47:28Z | |
dc.date.issued | 2013 | |
dc.description.abstract | In 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.callnumber | t QC 174.85 I8 R934I 2013 | en_US |
dc.description.degreelevel | Master | en_US |
dc.description.identifier | Thesis : Ising model with competing interactions on Cayley tree of order four : an analytic solution /by Rukiah Binti Ali | en_US |
dc.description.identity | t00011291509Rukiah | en_US |
dc.description.kulliyah | Kulliyyah of Science | en_US |
dc.description.notes | Thesis (MSCTS)--International Islamic University Malaysia, 2013 | en_US |
dc.description.physicaldescription | xi, 36 leaves : ill. ; 30cm. | en_US |
dc.description.programme | Master (Computational and Theoretical Sciences) | en_US |
dc.identifier.uri | https://studentrepo.iium.edu.my/handle/123456789/11384 | |
dc.identifier.url | https://lib.iium.edu.my/mom/services/mom/document/getFile/1JNOCEPeDYojXUBM8NTUKFp7TrXzbMKT20140311092036352 | |
dc.language.iso | en | en_US |
dc.publisher | Kuala Lumpur: International Islamic University Malaysia, 2013 | en_US |
dc.rights | Copyright International Islamic University Malaysia | |
dc.subject.lcsh | Ising model | en_US |
dc.subject.lcsh | Cayley graphs | en_US |
dc.subject.lcsh | Probability measures | en_US |
dc.title | Ising model with competing interactions on Cayley tree of order four : an analytic solution | en_US |
dc.type | Master Thesis | en_US |
dspace.entity.type | Publication |