|
Journal of Physical Studies 13(2), Article 2002 [9 pages] (2009)
DOI: https://doi.org/10.30970/jps.13.2002 MODELING THE PHASE SPACE OF COMPLEX SYSTEMSA. I. Olemskoi{1,2}, V. M. Borisyuk2, I. A. Shuda2
1Institute of Applied Physics NAS of Ukraine, 40030, Sumy, Ukraine |
 |
On the basis of the Cantor multifractal set, being described analytically, we test both box-counting and multiplier methods, the former of which uses quenched average, whereas the latter does the annealed one. We elaborate the numerical algorithm of both modeling and studying multifractal phase space to take into account that a complex system is not self-averaged and its spectral function can take negative values. A multifractal set generated by the anomalous diffusion process is considered as a physical example.
PACS number(s): 05.20.Gg, 05.45.Df, 05.70.Ce