# SIMULATION METHODS APPLIED TO PHYSICS

iten
Code
98890
2021/2022
CREDITS
6 credits during the 3nd year of 8758 PHYSICS (L-30) GENOVA

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

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

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

## OVERVIEW

`The course provides an introduction to Monte Carlo simulation techniques for condensed matter and fundamental interactions physics.`

## AIMS AND CONTENT

LEARNING OUTCOMES

The course aims at providing an introduction to Monte Carlo simulation techniques

applied to condended matter and fundamental interations physics.

AIMS AND LEARNING OUTCOMES

```The course aims at providing the basic knowledge of Monte Carlo simulation techniques with application to condended matter and fundamental interactions physics.

For condensed matter physics the learning outcomes are:

- Markov chain simulation (Metropolis algorithm)

- Simulation of phase transition in reticulated gas

- Continuos-time Monte Carlo for equilibrium and non-equilibrium transitions

- Simulation of aggregate creation. Fractals.

For the physics of fundamental interactions the learning outcomes are:

- Simulation of the transport of particles in matter

- Simulation of the interaction and decay of particles in Lorentz-invariant phase space

- Parametric simulation of a detector

- Simulation of experiments (past and present)```

PREREQUISITES

No formal prerequisites, but a good knowledge of a programming language is recomended

TEACHING METHODS

Theoretical lectures and practical exercitations

SYLLABUS/CONTENT

- Introduction to the Monte Carlo method. Sampling methods: rejection, inversion. Variance reduction. Importance sampling.

- Markov chains. Homogeneity condition. Requirements for the convergence of Markov chains. Metropolis algorithm.

- Simulation of the reticular gas in two dimensions with repulsive interactions using the Metropolis algorithm. Order-disorder phase transitions. Order parameter.

- Continuous-time Monte Carlo for equilibrium simulations. Continous time Monte Carlo for non-equilibrium simulations.

- Simulation of the growth of two-dimensional aggregates with Monte Carlo in continuous time. DDA model. Scale laws for the density of free atoms and aggregates. Generalities on fractals and definition of non-integer dimensionality. Measurement of the fractal size of the aggregates.

- Simulation of the transport of particles in matter. Detailed and condensed simulation.

- Methods for variance reduction in the transport of particles in matter

- Simulation of particle decay and interaction in Lorentz-invariant phase space.  Two-body decay. Three-body decay. Factorization.

- Parametric simulation of detectors and experiments. Applications to past and present experiments.

Lecture notes on the course web site

## TEACHERS AND EXAM BOARD

Office hours: Every day after appointment request.

Office hours: Reception to be agreed upon telephone / e-mail contact. Fabrizio Parodi Department of Physics, via Dodecanese 33, 16146 Genoa Office 823, Telephone 010 3536657 e-mail: fabrizio.parodi@ge.infn.it

## LESSONS

TEACHING METHODS

Theoretical lectures and practical exercitations

LESSONS START

The teaching will take place in the second semester.

## EXAMS

EXAM DESCRIPTION

`The oral exam consists in the discussion of an original essay and questions on the course program.`

ASSESSMENT METHODS

The original essay consists in the development of a program which, applying concepts and techniques acquired in the course, solves a physical problem.

The final score will take into account the results obtained, their presentation and answers to general questions.