The paper analyzes an approach to the generalization of the conventional Bose–Einstein statistics based on the nonadditive entropy of Tsallis. A detailed derivation of thermodynamic functions is presented. The calcu-lations are made for the specific heat of two model systems, namely, the ideal three-dimensional gas obeying the nonadditive modification of the Bose–Einstein statistics and the system with linear excitation spectrum at-tempted as a qualitative approximation of liquid 4He thermodynamics.

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