Superstatistics and temperature fluctuations

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.

References in corpus (4)

• Statistics of 3-dimensional Lagrangian turbulence
• Intensity Thresholds and the Statistics of the Temporal Occurrence of Solar Flares
• Superstatistics in high energy physics: Application to cosmic ray energy spectra and e+e- annihilation
• Superstatistical energy distributions of an ion in an ultracold buffer gas

Cited by in corpus (8)

• Two temperature Ising Model
• Fluctuating temperature outside superstatistics: thermodynamics of small systems
• Kappa distribution from particle correlations in non-equilibrium, steady-state plasmas
• On the possible distributions of temperature in nonequilibrium steady states
• A superstatistical measure of distance from canonical equilibrium
• Conditional maximum entropy and Superstatistics
• Temperature fluctuations in finite systems: Application to the one-dimensional Ising chain
• Fundamental temperature exclusively determines the validity of superstatistics