Difference between revisions of "Result estimators"
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The Monte Carlo transport simulation is run to obtain statistical estimates | The Monte Carlo transport simulation is run to obtain statistical estimates | ||
for integrals of the form: | for integrals of the form: | ||
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<math> | <math> | ||
F = \int_t\int_V\int_\dirvec\int_Ef\Variables\aflux\Variablest dVd\dirvec dE dt | F = \int_t\int_V\int_\dirvec\int_Ef\Variables\aflux\Variablest dVd\dirvec dE dt | ||
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The estimates can be divided into: | The estimates can be divided into: | ||
| − | + | #Analog estimates, based on recorded simulated physical events | |
| − | + | #Implicit estimators, based the expected frequency of events | |
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Implicit estimators are derived from analog estimators, with the purpose of | Implicit estimators are derived from analog estimators, with the purpose of | ||
obtaining better statistics. Even though the estimators introduced in the | obtaining better statistics. Even though the estimators introduced in the | ||
Revision as of 16:21, 19 November 2015
The Monte Carlo transport simulation is run to obtain statistical estimates for integrals of the form:
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where $f$ is a response function that can be evaluated at an arbitrary position
of the phase space, most typically a reaction cross section. These estimates
are based on the collection of simulated events (collisions, track-lengths,
surface crossings, etc.) that occur during the course of the simulated
random walk.
The estimates can be divided into:
- Analog estimates, based on recorded simulated physical events
- Implicit estimators, based the expected frequency of events
Implicit estimators are derived from analog estimators, with the purpose of obtaining better statistics. Even though the estimators introduced in the following can be used for calculating flux integrals, it should be noted that flux itself plays no role in Monte Carlo transport simulation.
