Year-end Sale % OFF 
Abstract
The dynamic properties of fractal aggregates with tunable fractal dimension are studied. The fractal dimensions are investigated in the range 1.0<or=D<or=2.5. The interactions are represented by the Born scalar model and two kinds of rule describing links between particles are used. The spectral dimension is determined by computing the integrated density of states (IDOS), using the very fast spectral moments method. Comparisons with a direct diagonalization prove the efficiency of this method. Furthermore, we give a Brownian diffusion approach, which agrees with the moments method, for D lower than two. It is found that the spectral dimension strongly depends on the fractal dimension and, for fractal dimension larger than two, it varies with the degree of connectivity taken into account in the model.
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.
