Why \(q\)-expectation values must be used in nonextensive statistical mechanics
From MaRDI portal
Publication:863246
DOI10.1007/s10509-006-9198-5zbMath1104.82006OpenAlexW2073299990MaRDI QIDQ863246
Publication date: 25 January 2007
Published in: Astrophysics and Space Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10509-006-9198-5
Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items (10)
Maxent, second variation, and generalized statistics ⋮ Canonical ensemble in non-extensive statistical mechanics ⋮ Canonical ensemble in non-extensive statistical mechanics, \(q > 1\) ⋮ On the putative essential discreteness of q-generalized entropies ⋮ Strong polygamy of multi-party \(q\)-expected quantum correlations ⋮ New mathematics for the nonadditive Tsallis’ scenario ⋮ Macroscopic characterization of data sets by using the average absolute deviation ⋮ Probabilistic model of \(N\) correlated binary random variables and non-extensive statistical mechanics ⋮ A statistical description for the quasi-stationary-states of the dipole-type Hamiltonian mean field model based on a family of Vlasov solutions ⋮ The entropy in finite N-unit nonextensive systems: The normal average and q-average
Cites Work
- Can the maximum entropy principle be explained as a consistency requirement?
- Axioms and uniqueness theorem for Tsallis entropy
- The rate of entropy increase at the edge of chaos
- Dynamical model of financial markets: fluctuating `temperature' causes intermittent behavior of price changes
- Monotonic decrease of the quantum nonadditive divergence by projective measurements
- Gravothermal catastrophe and Tsallis' generalized entropy of self-gravitating systems. III: Quasi-equilibrium structure using normalized \(q\)-values
- Possible generalization of Boltzmann-Gibbs statistics.
- Nonextensive statistical mechanics of \(q\)-bosons based on the \(q\)-deformed entropy
- A note on the \(q\)-deformation-theoretic aspect of the generalized entropies in nonextensive physics
- A class of measures of informativity of observation channels
- Rates of convergence of non-extensive statistical distributions to Lévy distributions in full and half-spaces
- Microcanonical foundation for systems with power-law distributions
- Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy
- Properties of cross-entropy minimization
- Generalization of Shannon’s theorem for Tsallis entropy
- Information gain within nonextensive thermostatistics
- Erratum: “Information gain within generalized thermostatistics” [J. Math. Phys. 39, 6490 (1998)]
- Generalized kinetic equations for a system of interacting atoms and photons: theory and simulations
- CONTINUITY OF A CLASS OF ENTROPIES AND RELATIVE ENTROPIES
- Holomorphic line bundles on a domain of a two-dimensional Stein manifold
- Heat and entropy in nonextensive thermodynamics: transmutation from Tsallis theory to Rényi-entropy-based theory
- Nonextensive statistical mechanics and its applications. Papers from the IMS winter school on statistical mechanics: nonextensive generalization of Boltzmann-Gibbs statistical mechanics and its applications, Okazaki, Japan, February 15--18, 1999
- Unnamed Item
- Unnamed Item
This page was built for publication: Why \(q\)-expectation values must be used in nonextensive statistical mechanics