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- Superstatistics abstract "Superstatistics is a branch of statistical mechanics or statistical physics devoted to the study of non-linear and non-equilibrium systems. It is characterized by using the superposition of multiple differing statistical models to achieve the desired non-linearity. In terms of ordinary statistical ideas, this is equivalent to compounding the distributions of random variables and it may be considered a simple case of a doubly stochastic model.Consider an extended thermodynamical system which is locally in equilibrium and has a Boltzmann distribution, that is the probability of finding the system in a state with energy is proportional to . Here is the local inverse temperature. A non-equilibrium thermodynamical system is modeled by considering macroscopic fluctuations of the local inverse temperature. These fluctuations happen on time scales which are much larger than the microscopic relaxation times to the Boltzmann distribution. If the fluctuations of are characterized by a distribution , the superstatistical Boltzmann factor of the system is given byThis defines the superstatistical partition functionwhere the system can assume discrete energy states . The probability of finding the system in state is then given byModeling the fluctuations of leads to a description in terms of statistics of Boltzmann statistics, or "superstatistics". One needs to note here that the word super here is short for superposition of the statistics.".
- Superstatistics wikiPageID "14793522".
- Superstatistics wikiPageRevisionID "598856403".
- Superstatistics hasPhotoCollection Superstatistics.
- Superstatistics subject Category:Nonlinear_systems.
- Superstatistics subject Category:Statistical_mechanics.
- Superstatistics type Abstraction100002137.
- Superstatistics type Group100031264.
- Superstatistics type NonlinearSystem108435246.
- Superstatistics type NonlinearSystems.
- Superstatistics type System108435388.
- Superstatistics comment "Superstatistics is a branch of statistical mechanics or statistical physics devoted to the study of non-linear and non-equilibrium systems. It is characterized by using the superposition of multiple differing statistical models to achieve the desired non-linearity.".
- Superstatistics label "Superstatistics".
- Superstatistics sameAs m.03gy3s_.
- Superstatistics sameAs Q7644228.
- Superstatistics sameAs Q7644228.
- Superstatistics sameAs Superstatistics.
- Superstatistics wasDerivedFrom Superstatistics?oldid=598856403.
- Superstatistics isPrimaryTopicOf Superstatistics.