Application of classical statistical mechanics to multifractals and dynamical systems
| dc.creator | Abaimov, S. G. | |
| dc.date | 2008-05-03 | |
| dc.date.accessioned | 2026-07-07T09:36:53Z | |
| dc.date.available | 2026-07-07T09:36:53Z | |
| dc.description | Classical, self-consistent theory of statistical mechanics was developed for the thermodynamic and conservative Hamiltonian systems. Later there were many attempts (Sinai-Bowen-Ruelle's temperature, Tsallis' non-extensive theory) to apply similar formalism to non-Hamiltonian dynamical systems. Although these theories reveal aspects of complex behavior, they have limited applicability. This paper applies the classical Gibbs-Boltzmann statistical mechanics to complex systems such as i.i.d. processes, multifractals, and non-Hamiltonian dynamical systems with strange attractors. The effective thermolization of stochastic noise in the system is introduced and the formalism of a ruling (governing, free energy) potential is developed. | |
| dc.identifier | https://arxiv.org/abs/0805.0347 | |
| dc.identifier | http://arxiv.org/abs/0805.0347 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160275 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Application of classical statistical mechanics to multifractals and dynamical systems | |
| dc.type | text |