INTERMITTENT CHAOS AND MULTIFRACTAL SYSTEMS

Authors
NAKAMURA ER YAMAKAWA O KUDO K MATSUDA H MURATA T
Citation
Er. Nakamura et al., INTERMITTENT CHAOS AND MULTIFRACTAL SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(4), 1996, pp. 3330-3332
Citations number
14
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
53
Issue
4
Year of publication
1996
Part
A
Pages
3330 - 3332
Database
ISI
SICI code
1063-651X(1996)53:4<3330:ICAMS>2.0.ZU;2-R
Abstract
On the basis of statistical thermodynamics we represent the free energ y and the partition function of intermittent multifractal systems. It is pointed out that even ill the case of the chaotic system in which t he value of minimum free energy cannot be determined because of therma l fluctuations, we can obtain the partition function by using the effe ctive free energy defined in the dominant region of power law indices. We analyze the one-scale Canter set in the fluctuation mode to show a typical example of this system.