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Encyclopedia > Landau distribution

The probability distribution for Landau random variates is defined analytically by the complex integral,

For numerical purposes it is more convenient to use the following equivalent form of the integral,

From GSL manual, used under GFDL.

  Results from FactBites:
A sample article (2185 words)
Landau theory assumes that the number of these collisions is high, and consequently, it has a restriction ξ / I 0 ≫ 1.
First, the Landau theory and its limitations are discussed, and then, the Vavilov and Gaussian straggling functions and the methods in the thin layers and gaseous materials are presented.
Summing the Landau fluctuation obtained to the average energy from the d E / d x tables, we obtain a value which is larger than the one coming from the table.
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