A q-generalized Boltzmann factor is derived for multiple probability distributions and applied to complex systems across condensed matter, particle physics, and turbulence.
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Hyperstatistics is a renamed gamma-superstatistics result: Laplace-transforming a gamma distribution of inverse temperatures yields the q-exponential, and the paper fits this form to Brownian VACF data without reconciling q and n.
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Hyperstatistics
A q-generalized Boltzmann factor is derived for multiple probability distributions and applied to complex systems across condensed matter, particle physics, and turbulence.
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A few remarks on hyperstatistics and some applications
Hyperstatistics is a renamed gamma-superstatistics result: Laplace-transforming a gamma distribution of inverse temperatures yields the q-exponential, and the paper fits this form to Brownian VACF data without reconciling q and n.