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 \left ( \frac{m}{2\pi k T}^{3/2} \right ) v^2  e^{-mv^2/2kT}</math>
+
<math>N(\nu) = 4 \pi N \left ( \frac{m}{2\pi k T} \right ) ^{3/2} 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 ([math]Z[/math]) is at some temperature ([math]T[/math]). 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

[math]P(E) = \frac{1}{kT} e^{-\frac{E}{kT}}[/math]

[math]P(E)[/math] represents the probability of any atom in the system having an energy [math]E[/math] where

[math]k= 1.38 \times 10^{-23} \frac{J}{mole \cdot K}[/math]

Note: You may be more familiar with the Maxwell-Boltzmann distribution in the form

[math]N(\nu) = 4 \pi N \left ( \frac{m}{2\pi k T} \right ) ^{3/2} v^2 e^{-mv^2/2kT}[/math]

The Monte Carlo method

A Unix Primer

A Root Primer

Example 1: Create Ntuple and Draw Histogram

Cross Sections

Deginitions

Example : Elastic Scattering

Lab Frame Cross Sections

Stopping Power

Bethe Equation

Classical Energy Loss

Bethe-Bloch Equation

Energy Straggling

Thick Absorber

Thin Absorbers

Range Straggling

Electron Capture and Loss

Multiple Scattering

Interactions of Electrons and Photons with Matter

Bremsstrahlung

Photo-electric effect

Compton Scattering

Pair Production

Hadronic Interactions

Neutron Interactions

Elastic scattering

Inelasstic Scattering