Abstract
In this work, we investigate the emergence of log-periodic oscillations in the low-temperature behavior of the specific heat of systems whose energy spectra present a self-similar character. The critical attractor of z-generalized logistic maps are used to generate multifractal energy spectra with tunable singularity spectra. We study the relationship between the average value and amplitude of the log-periodic oscillations on the map nonlinearity strength as well as on the scaling exponents characterizing the energy spectrum. Our numerical results show a monotonic decrease of the oscillations amplitude with increasing nonlinearity. Further, we obtain that the average low-temperature specific heat is directly related to the minimum singularity strength governing the scaling behavior of the most concentrated energy range.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
