Quasi-additivity of Tsallis entropies and correlated subsystems
نویسندگان
چکیده
منابع مشابه
Quasi-additivity of Tsallis entropies and correlated subsystems
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.
متن کاملNon-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 کاملFundamental properties on Tsallis entropies
A chain rule and a subadditivity for the entropy of type β, which is one of the nonextensive (nonadditive) entropies, were derived by Z.Daróczy. In this paper, we study the further relations among Tsallis type entropies which are typical nonextensive entropies. We show some inequalities related to Tsallis entropies, especially the strong subadditivity for Tsallis type entropies and the subaddit...
متن کاملTsallis Entropy and Generalized Shannon Additivity
The Tsallis entropy given for a positive parameter α can be considered as a generalization of the classical Shannon entropy. For the latter, corresponding to α = 1, there exist many axiomatic characterizations. One of them based on the well-known Khinchin-Shannon axioms has been simplified several times and adapted to Tsallis entropy, where the axiom of (generalized) Shannon additivity is playi...
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2007
ISSN: 0378-4371
DOI: 10.1016/j.physa.2007.02.033