MONTE CARLO METHODS WITH APPLICATION TO NUCLEAR AND PARTICLE PHYSICS

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iten
Code
98890
ACADEMIC YEAR
2018/2019
CREDITS
6 credits during the 3nd year of 8758 PHYSICS (L-30) GENOVA

6 credits during the 2nd year of 9012 PHYSICS (LM-17) GENOVA

6 credits during the 1st year of 9012 PHYSICS (LM-17) GENOVA

SCIENTIFIC DISCIPLINARY SECTOR
FIS/01
LANGUAGE
Italian
TEACHING LOCATION
GENOVA (PHYSICS)
semester
2° Semester
Teaching materials

AIMS AND CONTENT

LEARNING OUTCOMES

The study and the understanding of Monte Carlo simulation methods applied to transport processes

AIMS AND LEARNING OUTCOMES

Course will give mathematical and physical instrument to deeply understand

Monte Cralo simulation of particle and radiation transport in matter. This

will be pursued by the step-by-step construction of a Monte Carlo simulation -

simplified in its GUI (Graphical User Interface) part - but complete with regard

to methods to control and analyze statistical error (variance reduction, point  detectors, etc.)

A specific conclusive section will be devoted to the analysis of Uncertaint Quantification

problems, i.e. the error induced on simulation result by non precise knowlwedge of physical data

needed for simulation (cross-section data, system dimensions and composition). This last is one of the most

fast growing research field in recent years, while it is often neglected.

PREREQUISITES

No formal prerequisites, but a good knowledge of the methods of mathmatical analysis is strongly reccomended

Teaching methods

Theoretical lectures and practical exercitations (48 h)

SYLLABUS/CONTENT

Monte Carlo method

Random processes

Evaluation of definite integrals

Momte Carlo sampling

Probability and statistics

Sampling

Mean, variance and estimates

Introduction to variance redcution

Monte Carlo simulation of neutral particle transport

Mean free path

The mathematical basis for Monte Carlo simulation

Energy-dependent transport

Elastic scattering

Lab and C.M. frame of references

Variance reduction

Source biasing

Survival biasing

Russian roulette

Splitting

Exponential transform

Monte Carlo Detectors

Next-event estimator

Volumetric flux detectors

Surface crossing flux estimator

Time dependent estimators

Advanced applications

Correlated sampling

Adjoint Monte Carlo

Uncertainty Quantification

RECOMMENDED READING/BIBLIOGRAPHY

S.A. Dupree, S.K. Fraley - A Monte Carlo Primer - A practical approach to radiation transport

X-5 Monte Carlo team - MCNP, a general Monte Carlo N-particle Transport code, vol. 1: overview and theory - LA-UR-03-1987

J.J. Duderstadt, L.J. Hamilton - Nuclear reactor analysis

TEACHERS AND EXAM BOARD

Exam Board

RICCARDO FERRANDO (President)

FABRIZIO PARODI (President)

GIULIA ROSSI

LESSONS

Teaching methods

Theoretical lectures and practical exercitations (48 h)

LESSONS START

The teaching will take place in the second semester.

EXAMS

Exam description

Oral exam, composed by a discussion on an exercitation by students in agreement with teacher

and one or two final question to deepen arguments.