Formulation of the thermodynamic formalism for superstatistics and systematic derivations of scaling laws in complex systems

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Among the obtained results, the most important is concemed with the success in formulating log-normal superstatistics (LNS). LNS belongs to three universality classes in superstatistics and can be applied to important phenomena such as turbulence. In the earlier works, LNS has been discussed only in the context of the central limit theorem for multiplicative processes. In my work, I focus my attention on entropy fluctuations in nonequilibrium systems and formulate LNS based on the fluctuation theorem. In addition to this, I could also complete other works on complex systems and quantum thermodynamics.