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Macroscopic thermodynamics based on composable nonextensive entropies

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  • Abe, Sumiyoshi

Abstract

Composability of entropy implies that entropy of the total system composed of independent subsystems is given by a function of entropies of the subsystems. It is shown that the zeroth law of thermodynamics naturally leads to Tsallis-type pseudoadditivity of the composable entropies. Then, macroscopic thermodynamics is discussed based on the simplest example of such entropies. It is found that, even if nonextensive entropy is initially employed, the resulting thermodynamic entropy is necessarily extensive at the macroscopic level, in accordance with Carathéodory's theorem. This result depends crucially on the assumptions that the subsystems are independent and the total energy is the sum of the energies of the subsystems.

Suggested Citation

  • Abe, Sumiyoshi, 2002. "Macroscopic thermodynamics based on composable nonextensive entropies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 305(1), pages 62-68.
    • Handle: RePEc:eee:phsmap:v:305:y:2002:i:1:p:62-68
    DOI: 10.1016/S0378-4371(01)00641-0
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