Information measures based on Tsallis' entropy and geometric considerations for thermodynamic systems
arXiv:cond-mat/0510434 · doi:10.1016/j.physa.2006.01.034
Abstract
An analysis of the thermodynamic behavior of quantum systems can be performed from a geometrical perspective investigating the structure of the state space. We have developed such an analysis for nonextensive thermostatistical frameworks, making use of the q-divergence derived from Tsallis' entropy. Generalized expressions for operator variance and covariance are considered, in terms of which the fundamental tensor is given.
contribution to 3rd NEXT-SigmaPhi International Conference (August 2005, Kolymbari, Greece)
References in corpus (4)
Cited by in corpus (14)
- On the maximum entropy principle and the minimization of the Fisher information in Tsallis statistics
- Thermodynamics of bosons systems related to Dunkl differential-difference operators
- Geometrical aspects of a generalized statistical mechanics
- Stability and anyonic behavior of systems with M-statistics
- Stationary and dynamical properties of information entropies in nonextensive systems
- Geometry of Quantum Group invariant systems
- Notions of the ergodic hierarchy for curved statistical manifolds
- Scalar curvature of systems with fractal distribution functions
- Effects of correlated variability on information entropies in nonextensive systems
- Fisher metric from relative entropy group
- Dynamics of Information Entropies in Nonextensive Systems
- Ergodic statistical models: entropic dynamics and chaos
- Generalized Fisher information matrix in nonextensive systems with spatial correlation
- Hermite-Gaussian model for quantum states