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dc.contributor.authorMerdan, Ziya
dc.contributor.authorBayırlı, Mehmet
dc.contributor.authorÖztürk, Mustafa Kemal
dc.date.accessioned2019-10-16T10:35:28Z
dc.date.available2019-10-16T10:35:28Z
dc.date.issued2009en_US
dc.identifier.issn0932-0784
dc.identifier.urihttps://hdl.handle.net/20.500.12462/6860
dc.descriptionBayırlı, Mehmet (Balikesir Author)en_US
dc.description.abstractThe two-dimensional Ising model with nearest-neighbour pair interactions is simulated oil the Creutz cellular automaton by using the finite-size lattices with the linear dimensions L = 80, 120, 160, and 200. The temperature variations and the finite-size scaling plots of the specific heat and the Binder parameter verify the theoretically predicted expression near the infinite lattice critical temperature. The approximate values for the critical temperature of the infinite lattice T(c) = 2.287(6) T(c) = 2.269(3), and T(c) =2.271(1) are obtained from the intersection points of specific heat curves. Binder parameter curves, and the straight line fit of specific heat maxima, respectively. These results are in agreement with the theoretical value (T(c) =2.269) within the error limits. The values obtained for the critical exponent of the specific heat, alpha = 0.04(25) and alpha = 0.03(l), are in agreement with alpha = 0 predicted by the theory. The values for the Binder parameter by using the finite-size lattices with the linear dimension L = 80, 120, 160, and 200 at T(c) = 2.269(3) are calculated as g(L)(T(c)) = -1.833(5), g(L)(T(c)) = -1.834(3), g(L)(T(c)) = -1.832(2), and g(L)(T(c)) = -1.833(2), respectively. The value of the infinite lattice for the Binder parameter, g(L)(T(c)) = -1.834(11), is obtained from the straight line fit of g(L)(T(c)) = -1.833(5), g(L)(T(c)) = -1.834(3), g(L)(T(c)) = -1.832(2), and g(L)(T(c)) = -1.833(2) versus L = 80, 120, 160, and 200, respectively.en_US
dc.language.isoengen_US
dc.publisherVerlag Z Naturforschen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectIsing Modelen_US
dc.subjectCellular Automatonen_US
dc.subjectFinite-Size Scalingen_US
dc.subjectScanning Methoden_US
dc.titleThe finite-size scaling study of the specific heat and the binder parameter of the two-dimensional ısing model for the fractals obtained by using the model of diffusion-limited aggregationen_US
dc.typearticleen_US
dc.relation.journalZeitschrİft Fur Naturforschung Section A-A Journal of Physical Sciencesen_US
dc.contributor.departmentFen Edebiyat Fakültesien_US
dc.identifier.volume64en_US
dc.identifier.issue12en_US
dc.identifier.startpage849en_US
dc.identifier.endpage854en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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