Constructing a statistical mechanics for Beck-Cohen superstatistics
نویسندگان
چکیده
منابع مشابه
Constructing a statistical mechanics for Beck-Cohen superstatistics.
The basic aspects of both Boltzmann-Gibbs (BG) and nonextensive statistical mechanics can be seen through three different stages. First, the proposal of an entropic functional (S(BG)=-k Sigma(i)p(i)ln p(i) for the BG formalism) with the appropriate constraints (Sigma(i)p(i)=1 and Sigma(i)p(i)E(i)=U for the BG canonical ensemble). Second, through optimization, the equilibrium or stationary-state...
متن کاملLog-amplitude statistics for Beck-Cohen superstatistics.
As a possible generalization of Beck-Cohen superstatistical processes, we study non-Gaussian processes with temporal heterogeneity of local variance. To characterize the variance heterogeneity, we define log-amplitude cumulants and log-amplitude autocovariance and derive closed-form expressions of the log-amplitude cumulants for χ(2), inverse χ(2), and log-normal superstatistical distributions....
متن کاملGeneralization of the Beck-Cohen superstatistics.
Generalized superstatistics, i.e., a "statistics of superstatistics," is proposed. A generalized superstatistical system comprises a set of superstatistical subsystems and represents a generalized hyperensemble. There exists a random control parameter that determines both the density of energy states and the distribution of the intensive parameter for each superstatistical subsystem, thereby fo...
متن کاملBeck superstatistical systems Generalized statistical mechanics for
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متن کاملQualms regarding " Dynamical Foundations of Nonextensive Statistical Mechanics " by C. Beck (cond-mat/0105374)
The derivation of Student's pdf from superstatistics is a mere coincidence due to the choice of the χ 2 distribution for the inverse temperature which is actually the Maxwell distribution for the speed. The difference between the estimator and the variance introduces a fluctuating temperature that is generally different than the temperature of the variance. Fluctuations in the energy of a compo...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2003
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.67.026106