Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-09-15
Physics
Condensed Matter
Statistical Mechanics
11 pages, 5 figures e-mail: raman%phys@puniv.chd.nic.in
Scientific paper
10.1016/S0378-4371(00)00103-5
A nonextensive thermostatic approach to chaotic dynamical systems is developed by expressing generalized Tsallis distribution as escort distribution. We explicitly show the thermodynamic limit and also derive the Legendre Transform structure. As an application, bit variance is calculated for ergodic logistic map. Consistency of the formalism demands a relation between box size ($\epsilon$) and degree of nonextensivity, given as $(1-q)\sim -1/{\rm ln} \epsilon$. This relation is numerically verified for the case of bit variance as well as using basic definition of Tsallis entropy.
Johal Ramandeep S.
Rai Renuka
No associations
LandOfFree
Nonextensive thermodynamic formalism for chaotic dynamical systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Nonextensive thermodynamic formalism for chaotic dynamical systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonextensive thermodynamic formalism for chaotic dynamical systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-197434