title: Fluctuations of entropy and log-normal superstatistics.
abstract: Nonequilibrium complex systems are often effectively described by the mixture of different dynamics on different time scales. Superstatistics, which is "statistics of statistics" with two largely separated time scales, offers a consistent theoretical framework for such a description. Here, a theory is developed for log-normal superstatistics based on the fluctuation theorem for entropy changes as well as the maximum entropy method. This gives novel physical insight into log-normal statistics, other than the traditional multiplicative random processes. A comment is made on a possible application of the theory to the fluctuating energy dissipation rate in turbulence.
authors.affiliation: Department of Physical Engineering, Mie University, Mie 514-8507, Japan.
authors.forename: Sumiyoshi
authors.initials: S
authors.lastname: Abe