Power law distribution of Rényi entropy for equilibrium systems having nonadditive energy

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Using Rényi entropy, a possible thermostatistics for nonextensive systems is discussed. We show that it is possible to get the $q$-exponential distribution function for nonextensive systems having nonadditive energy but additive entropy. It is also shown that additive energy, as a approximation within nonextensive statistics, is not suitable for discussing fundamental problems for interacting systems.
11 pages, TeX, 2 aps figure

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