3-state Potts model with competing binary-ternary-quarternary interactions on Cayley tree of order 2 and 3

Nurul Farahana Ififi Omar Baki

Publication:
3-state Potts model with competing binary-ternary-quarternary interactions on Cayley tree of order 2 and 3

dc.contributor.affiliation	#PLACEHOLDER_PARENT_METADATA_VALUE#	en_US
dc.contributor.author	Nurul Farahana Ififi Omar Baki	en_US
dc.contributor.supervisor	Mohd Hirzie Mohd Rodzhan, Ph.D	en_US
dc.contributor.supervisor	Nasir Ganikhodjaev, Ph.D	en_US
dc.date.accessioned	2024-10-09T07:48:08Z
dc.date.available	2024-10-09T07:48:08Z
dc.date.issued	2022
dc.description.abstract	This study is devoted to investigate the phase diagrams of 3-state Potts model with competing binary, ternary and quaternary interactions on Cayley tree. The 3-state Potts model was classified as the simplest quantum field-theory after Ising model and was an easily defined class of statistical mechanic model. The aim of this study is to analyze the phase diagrams of 3-state Potts model with competing interactions on Cayley tree of order 2 and 3. At vanishing temperature T, the phase diagrams are fully determined for all values of competing binary interactions J 1 , ternary interactions J t and quaternary interactions J q. The results show that there have significant change~ in the phase diagrams for the case of nonzero ]q. Lastly, we analyze in detail the set of modulated phases, with the phase being indicated by many different types of commensurate and incommensurate phases by plotting the wavevectors versus temperature. The Lyapunov exponent is computed to verify the stability of the large period phase in the narrow-interval modulated phase.	en_US
dc.description.abstractarabic	Format not supported	en_US
dc.description.callnumber	t QC 761.5 N9742S 2022	en_US
dc.description.identifier	Thesis : 3-state Potts model with competing binary-ternary-quarternary interactions on Cayley tree of order 2 and 3 / by Nurul Farahana Ififi binti Omar Baki	en_US
dc.description.identity	t11100383610Nurulfarhanaififibintiomarbaki	en_US
dc.description.kulliyah	Kulliyyah of Science	en_US
dc.description.nationality	Malaysian	en_US
dc.description.notes	Thesis (MSCTS)--International Islamic University Malaysia, 2022.	en_US
dc.description.physicaldescription	xiv, 81 leaves : illustrations ; 30cm.	en_US
dc.description.programme	Master of Science (Computational and Theoretical Sciences)	en_US
dc.identifier.uri	https://studentrepo.iium.edu.my/handle/123456789/11465
dc.language.iso	en	en_US
dc.publisher	Kuantan, Pahang : Kulliyyah of Science, International Islamic University Malaysia, 2022	en_US
dc.subject.lcsh	Antiferromagnetism	en_US
dc.subject.lcsh	Phase diagrams	en_US
dc.title	3-state Potts model with competing binary-ternary-quarternary interactions on Cayley tree of order 2 and 3	en_US
dc.type	Master Thesis	en_US
dspace.entity.type	Publication