A classification of nonequilibrium steady states based on temperature correlations

Davis, Sergio

doi:10.1016/j.physa.2022.128249

Cited by 5 publications

(1 citation statement)

References 32 publications

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“…An alternative sketch of a proof can be readily obtained using a formula [44] that connects the variances of β F and β in superstatistics, namely the equality…”

Section: Temperature Is Not An Observable In Superstatisticsmentioning

confidence: 99%

A superstatistical measure of distance from canonical equilibrium

Davis

2024

J. Phys. A: Math. Theor.

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Non-equilibrium systems in steady states are commonly described by generalized statistical mechanical frameworks such as superstatistics, which assumes that the inverse temperature β = 1 / ( k B T ) is an unknown quantity having some pre-established statistical distribution. The uncertainty in β is usually understood as the fluctuation of a physical observable, however, it has been previously proved (Davis and Gutiérrez 2018 Physica A 505 864–70) that β in a superstatistical model cannot be associated to an observable function B ( Γ ) of the microstates Γ. In this work, we provide an information-theoretical interpretation of this theorem by introducing a new quantity D , the mutual information between β and Γ. Our results show that D is also a measure of departure from canonical equilibrium, and reveal a minimum, non-zero uncertainty about β given Γ for every non-canonical superstatistical ensemble. The behavior of D is illustrated in the case of a collisionless plasma described by kappa distributions, revealing the precise sense in which the spectral index κ can be understood as a measure of distance from equilibrium.

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“…An alternative sketch of a proof can be readily obtained using a formula [44] that connects the variances of β F and β in superstatistics, namely the equality…”

Section: Temperature Is Not An Observable In Superstatisticsmentioning

confidence: 99%

A superstatistical measure of distance from canonical equilibrium

Davis

2024

J. Phys. A: Math. Theor.

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Testing the scope of superstatistical time series analysis: Application to the SYM-H geomagnetic index

Sánchez

2024

Physica A: Statistical Mechanics and its Applications

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Correlations in classical non-equilibrium systems and their connection with temperature

Davis

2024

J. Phys.: Conf. Ser.

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Correlations are essential for the description of the properties of complex systems, particularly from the point of view of statistical mechanics. In this work we discuss the existence of correlations between parts of a non-equilibrium, composite system in a steady state, and its relation with the concept of temperature fluctuations. For this purpose, we review a recently proposed definition of steady-state temperature, namely the fundamental inverse temperature, together with a descriptor of temperature uncertainty, the inverse temperature covariance, showing that both of these quantities are invariants upon the choice of subsystems.

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A classification of nonequilibrium steady states based on temperature correlations

Cited by 5 publications

References 32 publications

A superstatistical measure of distance from canonical equilibrium

A superstatistical measure of distance from canonical equilibrium

Testing the scope of superstatistical time series analysis: Application to the SYM-H geomagnetic index

Correlations in classical non-equilibrium systems and their connection with temperature

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