LABORATORY 1 (UNIT II A)
Learning outcomes of the course unit
The course aims at providing the students with a variety of numerical tools which are useful in solving problems in Physics, with a focus on simulation techniques. As a result, students should be able to undertake simulations in Statistical Mechanics and eventually in Quantum Field Theories. They will be provided the basic know-how for dealing with differential equations of the type encountered in basic Molecular Dynamics. They will also master the basics of data analysis and modeling.
Course contents summary
Dynamic MonteCarlo methods will be the main subject of the course. An introduction to MonteCarlo will also give the chance to discuss other arguments, i.e. Molecular Dynamics basics and data analysis techniques. The theoretical framework of MonteCarlo methods are found in Markov processes, an introduction to which will be provided. Main methods in MonteCarlo will be introduced undertaking simple problems in Statistical Mechanics. Hybrid MonteCarlo will be one of the main topic. We will discuss its conceptual relationships to Molecular Dynamics, main issues of which will be discussed. Since any numerical result is void of significance without a careful assessment of errors, due care will be devoted to error analysis. Data fitting will also be an issue.
A relevant fraction of the work will be undertaken with hands on the computer. Matlab will be the main environment, but students will be also given the chance to tackle high level languages (C, C++) programming.
Notes provided by the lecturer.
Style will be mostly informal, giving emphasis to problem solving. In view of this, every subject will be tackled also via numerical experiments.
Assessment methods and criteria
Evaluation will be in part in itinere, via the assignement of numerical exercises. At the end every student will be assigned a problem to be solved via numerical simulations. Students will present their solution toghether with a report which they also discuss in a presentation in front of their collegues.