Difference between revisions of "Simulations of Particle Interactions with Matter"
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Note: You may be more familiar with the Maxwell-Boltzmann distribution in the form | Note: You may be more familiar with the Maxwell-Boltzmann distribution in the form | ||
| − | <math>N(\nu) = 4 \pi N \( \frac{m}{2\pi k T}^{3/2} \) v^2 e^{-mv^2/2kT}</math> | + | <math>N(\nu) = 4 \pi N \left ( \frac{m}{2\pi k T}^{3/2} \right ) v^2 e^{-mv^2/2kT}</math> |
=== The Monte Carlo method === | === The Monte Carlo method === | ||
Revision as of 22:05, 30 August 2007
Overview
Particle Detection
A device detects a particle only after the particle transfers energy to the device.
Energy intrinsic to a device depends on the material used in a device
Some device of material with an average atomic number () is at some temperature (). The materials atoms are in constant thermal motion (unless T = zero degrees Klevin).
Statistical Thermodynamics tells us that the canonical energy distribution of the atoms is given by the Maxwell-Boltzmann statistics such that
represents the probability of any atom in the system having an energy where
Note: You may be more familiar with the Maxwell-Boltzmann distribution in the form