المستودع الأكاديمي جامعة المدينة

Emergence of log-periodic oscillations in periodic and aperiodic Ising models

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dc.creator Andrade R. F. S.
dc.date 2000
dc.date.accessioned 2013-05-30T00:22:23Z
dc.date.available 2013-05-30T00:22:23Z
dc.date.issued 2013-05-30
dc.identifier http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332000000400006
dc.identifier http://www.doaj.org/doaj?func=openurl&genre=article&issn=01039733&date=2000&volume=30&issue=4&spage=671
dc.identifier.uri http://koha.mediu.edu.my:8181/jspui/handle/123456789/3074
dc.description This work analyzes the emergence of log-periodic oscillations in thermodynamic functions of Ising models on hierarchical lattices. Several situations, where the exchange interactions are periodic or aperiodic, are taken into account. High precision values for the thermodynamic functions are numerically obtained with the method of transfer matrices. Fitting the curves close to the critical temperature leads to the values of the critical exponents and to the period and amplitude of the oscillations. The first two quantities are found to agree with the results predicted by the renormalization group. The amplitude of oscillations, which are minute for both periodic systems and those with aperiodic irrelevant fluctuations, are significantly enhanced for systems with aperiodic relevant fluctuations. Distinct morphologies of the oscillating pattern are discussed, where oscillations are respectively sinusoidal and with a significant contribution of higher order harmonics.
dc.publisher Sociedade Brasileira de Física
dc.source Brazilian Journal of Physics
dc.title Emergence of log-periodic oscillations in periodic and aperiodic Ising models


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