Generalized Entropy Composition with Different q Indices : A Trial in International Workshop on Classical and Quantum Complexity and Nonextensive Thermodynamics (
نویسنده
چکیده
We analyze systematically composable composite entropy of two Tsallis subsystems with different q indices. H-theorem and thermal balance relation are commented. This report is based mainly on our recent paper [1].
منابع مشابه
Validity of the second law in nonextensive quantum thermodynamics.
The second law of thermodynamics in nonextensive statistical mechanics is discussed in the quantum regime. Making use of the convexity property of the generalized relative entropy associated with the Tsallis entropy indexed by q, Clausius' inequality is shown to hold in the range q in (0, 2]. This restriction on the range of the entropic index, q, is purely quantum mechanical and there exists n...
متن کاملGeneralized symmetric nonextensive thermostatistics and q-modified structures
We formulate a convenient generalization of the q-expectation value, based on the analogy of the symmetric quantum groups and q-calculus, and show that the q ↔ q−1 symmetric nonextensive entropy preserves all of the mathematical structure of thermodynamics just as in the case of non-symmetric Tsallis statistics. Basic properties and analogies with quantum groups are discussed. PACS: 05.20.-y; 0...
متن کامل] 1 6 Ju n 20 05 Dynamical Correlations as Origin of Nonextensive Entropy
We present a simple and general argument showing that a class of dynamical correlations give rise to the so-called Tsallis nonextensive statistics. An example of a system having such a dynamics is given, exhibiting a non-Boltzmann energy distribution. A relation with prethermalization processes is discussed. 1 Generalized statistics and correlations In the recent paper by J. Berges et al. [1], ...
متن کاملGeneralized Entropy from Mixing: Thermodynamics, Mutual Information and Symmetry Breaking
We review a new form of entropy suggested by us, with origin in mixing of states of systems due to interactions and deformations of phase cells. It is demonstrated that this nonextensive form also leads to asymmetric maximal entropy configurations unlike Shannon entropy. We discuss how, beginning with quantum entanglement of microsystems with one another and with the environment, one can obtain...
متن کاملInformation measures based on Tsallis’ entropy and geometric considerations for thermodynamic systems
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 t...
متن کامل