Exact Analysis of Free Energy Surfaces for the Spin-1 Mean-Field Ising Model in the Microcanonical Formalism Using Gamma Function

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dc.contributor.authorErdem, R.
dc.contributor.authorYalcin, O.
dc.date.accessioned2024-11-07T13:23:53Z
dc.date.available2024-11-07T13:23:53Z
dc.date.issued2018
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description14th Regional Conference on Mathematical Physics -- NOV 09-14, 2015 -- Quaid i Azam Univ, Islamabad, PAKISTAN
dc.description.abstractExact free energy values of the spin-1 mean-field Ising model for finite systems that consist of N particles have been calculated in the microcanonical formalism which uses the gamma function. We have constructed the contour maps of the free energy surfaces in the phase space of dipolar (M) and quadrupolar (Q) order parameters for various values of N. From these maps, stable, metastable and unstable states are seen explicitly. We have analyzed these states in comparison with the free energy values obtained by using the approximated expression for the entropy using the Stirling approximation to deal with factorials. Moreover, the relative error between our exact values and the approximate one using the Stirling formula has been calculated and displayed as the contour map in the M - Q phase space.
dc.description.sponsorshipNatl Ctr Phys
dc.description.sponsorshipScientific Research Projects Coordination Unit of Akdeniz University
dc.description.sponsorshipThis work is supported by the Scientific Research Projects Coordination Unit of Akdeniz University.
dc.identifier.endpage319
dc.identifier.isbn978-981-3224-97-1
dc.identifier.isbn978-981-3224-96-4
dc.identifier.startpage311
dc.identifier.urihttps://hdl.handle.net/11480/13764
dc.identifier.wosWOS:000459731000033
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofMathematical Physics
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241106
dc.subjectSpin-1 Mean-Field Ising Model
dc.subjectFree Energy Surfaces
dc.subjectContour Mapping
dc.subjectGamma Function
dc.titleExact Analysis of Free Energy Surfaces for the Spin-1 Mean-Field Ising Model in the Microcanonical Formalism Using Gamma Function
dc.typeConference Object

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