CODE  98890 

ACADEMIC YEAR  2022/2023 
CREDITS 

SCIENTIFIC DISCIPLINARY SECTOR  FIS/01 
TEACHING LOCATION 

SEMESTER  2° Semester 
TEACHING MATERIALS  AULAWEB 
The course provides an introduction to Monte Carlo simulation techniques for condensed matter and fundamental interactions physics.
The course aims at providing an introduction to Monte Carlo simulation techniques
applied to condended matter and fundamental interations physics.
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  Continuostime Monte Carlo for equilibrium and nonequilibrium 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 Lorentzinvariant phase space  Parametric simulation of a detector  Simulation of experiments (past and present)
No formal prerequisites, but a good knowledge of a programming language is recomended
Theoretical lectures and practical exercitations
 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. Orderdisorder phase transitions. Order parameter.
 Continuoustime Monte Carlo for equilibrium simulations. Continous time Monte Carlo for nonequilibrium simulations.
 Simulation of the growth of twodimensional 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 noninteger 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 Lorentzinvariant phase space. Twobody decay. Threebody decay. Factorization.
 Parametric simulation of detectors and experiments. Applications to past and present experiments.
Lecture notes on the course web site
Office hours: Every day after appointment request.
Office hours: Reception to be agreed upon telephone / email contact. Fabrizio Parodi Department of Physics, via Dodecanese 33, 16146 Genoa Office 823, Telephone 010 3536657 email: fabrizio.parodi@ge.infn.it
RICCARDO FERRANDO (President)
FABRIZIO PARODI (President Substitute)
The teaching will take place in the second semester.
The oral exam consists in the discussion of an original essay and questions on the course program.
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.