Bayesian probability theory is applied to the model selection problem in describing the energy confinement of a fusion plasma by scaling laws. Here several possible physical scenarios lead to different models with a certain number of free parameters which are used to assign dimensional information to the scaling law. Using a recently assembled database of the W7-AS stellar ator magnetic confinement device a dimensionally constrained analysis is performed. Probabilities for all models and the associated exponents of a power law scaling function are presented.
|Title of host publication||Maximum Entropy and Bayesian Methods|
|Editors||Gary J. Erickson, Joshua T. Rychert, C. Ray Smith|
|Number of pages||9|
|ISBN (Print)||978-94-010-6111-7 978-94-011-5028-6|
|Publication status||Published - 1998|
|Name||Fundamental Theories of Physics|
- Artificial Intelligence (incl. Robotics), Coding and Information Theory, Discrete Mathematics in Computer Science, model comparison, Plasma Energy Confinement, Probability Theory and Stochastic Processes, Scaling Law Exponents, Statistics, general
Preuss, R., Dose, V., & Linden, W. V. D. (1998). Model Comparison with Energy Confinement Data from Large Fusion Experiments. In G. J. Erickson, J. T. Rychert, & C. R. Smith (Eds.), Maximum Entropy and Bayesian Methods (pp. 137-145). (Fundamental Theories of Physics). Springer Netherlands.