Hyperstatistics produces a q-exponential Boltzmann factor independent of the averaging density f(β) for 1D KGO and DO, reproducing high-T limits while distinguishing the systems via degeneracy and avoiding unphysical negatives.
Superstatistics and temperature fluctuations
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abstract
Superstatistics [C. Beck and E.G.D. Cohen, Physica A 322, 267 (2003)] is a formalism aimed at describing statistical properties of a generic extensive quantity E in complex out-of-equilibrium systems in terms of a superposition of equilibrium canonical distributions weighted by a function P(beta) of the intensive thermodynamic quantity beta conjugate to E. It is commonly assumed that P(beta) is determined by the spatiotemporal dynamics of the system under consideration. In this work we show by examples that, in some cases fulfilling all the conditions for the superstatistics formalism to be applicable, P(beta) is actually affected also by the way the measurement of E is performed, and thus is not an intrinsic property of the system.
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physics.gen-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Hyperstatistical thermodynamics of the one-dimensional Klein-Gordon and Dirac oscillators: a closed-form q-generalized Boltzmann factor and a quantitative comparison with Beck's superstatistics
Hyperstatistics produces a q-exponential Boltzmann factor independent of the averaging density f(β) for 1D KGO and DO, reproducing high-T limits while distinguishing the systems via degeneracy and avoiding unphysical negatives.