Quasi-additivity of Tsallis entropies and correlated subsystems
نویسنده
چکیده
We use Beck’s quasi-additivity of Tsallis entropies for n independent subsystems to show that like the case of n = 2, the entropic index q approaches 1 by increasing system size. Then, we will generalize that concept to correlated subsystems to find that in the case of correlated subsystems, when system size increases, q also approaches a value corresponding to the additive case.
منابع مشابه
Non-additivity of Tsallis entropies and fluctuations of temperature
We show that the non-additivity relation of the Tsallis entropies in nonextensive statistical mechanics has a simple physical interpretation for systems with fluctuating temperature or fluctuating energy dissipation rate. We also show that there is a distinguished dependence of the entropic index q on the spatial scale that makes the Tsallis entropies quasi-additive. Quasi-additivity implies th...
متن کاملMonotonically equivalent entropies and solution of additivity equation
Generalized entropies are studied as Lyapunov functions for the Master equation (Markov chains). Three basic properties of these Lyapunov functions are taken into consideration: universality (independence of the kinetic coefficients), trace-form (the form of sum over the states), and additivity (for composition of independent subsystems). All the entropies, which have all three properties simul...
متن کاملA Preferred Definition of Conditional Rényi Entropy
The Rényi entropy is a generalization of Shannon entropy to a one-parameter family of entropies. Tsallis entropy too is a generalization of Shannon entropy. The measure for Tsallis entropy is non-logarithmic. After the introduction of Shannon entropy , the conditional Shannon entropy was derived and its properties became known. Also, for Tsallis entropy, the conditional entropy was introduced a...
متن کاملPRO O F CO PY [ LT 8530 EJ ] 157306 PRE Additive generalization of the Boltzmann entropy
The growing interest in nonclassical entropies in recent years 1,2 is motivated by the fact that they can be used to describe observable statistical effects such as the following. i Nonclassical tails of distribution functions which can deviate significantly from the Gaussian distribution. In particular, this asymptotics can be power law ‘‘long tails’’ or, instead, distribution functions can de...
متن کاملChain rules and subadditivity for Tsallis entropies
Chain rules for Tsallis type entropies are proven, as including the famous pseudoadditivity in nonextensive statistics as a special case. They give important relations between Tsallis conditional entropy and Tsallis joint entropy. Moreover the subadditivity of Tsallis type entropies is shown for the correlated two random variables in the case of q ≥ 1 with the help of the generalized Shannon in...
متن کامل