Course: 993SM - LABORATORIO DI FISICA COMPUTAZIONALE 2025

Section outline

Select section General

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General

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- Select activity GENERAL INFO ON THE COURSE
  
  GENERAL INFO ON THE COURSE Page
- Select activity GENERAL PROGRAM
  
  GENERAL PROGRAM Page
- Select activity NOTES, TEXTBOOKS AND USEFUL LINKS
  
  NOTES, TEXTBOOKS AND USEFUL LINKS Page
- Select activity PREREQUISITES
  
  PREREQUISITES Page
- Select activity EXAMS - dates (NEW!) and rules
  
  EXAMS - dates (NEW!) and rules Page
- Select activity Essential guide to prepare a report for homework and final project
  
  Essential guide to prepare a report for homework and final project File PDF
- Select activity EXAMS: PROJECTS AVAILABLE
  
  EXAMS: PROJECTS AVAILABLE Folder
- Select activity EXAMS: PROJECTS ASSIGNED
  
  EXAMS: PROJECTS ASSIGNED Folder
- Select activity INTRINSIC FUNCTIONS in Fortran 90/95 from Fortran90/95 for Scientists and Engineers, di S.J. Chapman
  
  INTRINSIC FUNCTIONS in Fortran 90/95 from Fortran90/95 for Scientists and Engineers, di S.J. Chapman File PDF
- Select activity Gnuplot: basic commands (Italian only)
  
  Gnuplot: basic commands (Italian only) File PDF
- Select activity Some slides on gnuplot
  
  Some slides on gnuplot File PDF
- Select activity Aula Virtuale Fisica (A. Richetti)
  
  Aula Virtuale Fisica (A. Richetti) File PDF
- Select activity Annunci
  
  Annunci Forum
Select section Unit I - Basics (22, 24, 26 Sept 2025 - MP)

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Unit I - Basics (22, 24, 26 Sept 2025 - MP)
- Select activity Content of the lecture
  
  Content of the lecture Page
- Select activity Slides I part - generalities
  
  Slides I part - generalities File PDF
- Select activity Slides II part - on the finite representation of numbers
  
  Slides II part - on the finite representation of numbers File PDF
- Select activity Additional slides (lecture of Friday 26) about underflow/overflow
  
  Additional slides (lecture of Friday 26) about underflow/overflow File PDF
- Select activity Exercises Unit I
  
  Exercises Unit I File PDF
- Select activity What Every Computer Scientist Should Know About Floating-Point Arithmetic (by D. Goldberg, 1991)
  
  What Every Computer Scientist Should Know About Floating-Point Arithmetic (by D. Goldberg, 1991) URL
- Select activity PROGRAMS in f90
  
  PROGRAMS in f90 Folder
- Select activity PROGRAMS in Python (by Antimo Marrazzo)
  
  PROGRAMS in Python (by Antimo Marrazzo) Folder
- Select activity Physics simulations with Python: prerequisites, tools and basic concepts (by Antimo Marrazzo)
  
  Physics simulations with Python: prerequisites, tools and basic concepts (by Antimo Marrazzo) File PDF
- Select activity Jupyter notebook week 1 (by Antimo Marrazzo)
  
  Jupyter notebook week 1 (by Antimo Marrazzo) File IPYNB
Select section Unit II: (Pseudo)random numbers (generators; properties) (29 Sept, 1,3 Oct 2025 - MP)

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Unit II: (Pseudo)random numbers (generators; properties) (29 Sept, 1,3 Oct 2025 - MP)
- Select activity Contents of the lecture
  
  Contents of the lecture Page
- Select activity Slides part (a) - random numbers with uniform distribution
  
  Slides part (a) - random numbers with uniform distribution File PDF
- Select activity Slides part (b) - random numbers with non uniform distributions
  
  Slides part (b) - random numbers with non uniform distributions File PDF
- Select activity Slides of Friday 3/10/25
  
  Slides of Friday 3/10/25 File PDF
- Select activity Exercises part (a)
  
  Exercises part (a) File PDF
- Select activity Exercises part (b)
  
  Exercises part (b) File PDF
- Select activity Programs in f90
  
  Programs in f90 Folder
- Select activity Installing Python line-by-line profilers (by Antimo Marrazzo)
  
  Installing Python line-by-line profilers (by Antimo Marrazzo) Page
- Select activity Jupyter notebook week II - part (a) (by Antimo Marrazzo)
  
  Jupyter notebook week II - part (a) (by Antimo Marrazzo) File IPYNB
- Select activity Jupyter notebook week II - part (b) (by Antimo Marrazzo)
  
  Jupyter notebook week II - part (b) (by Antimo Marrazzo) File IPYNB
Select section Unit III: Simulation of intrinsically random processes: random walks (6,8,10 October 2025 - MP)

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Unit III: Simulation of intrinsically random processes: random walks (6,8,10 October 2025 - MP)
- Select activity Contents of the lecture
  
  Contents of the lecture Page
- Select activity Slides on random walks
  
  Slides on random walks File PDF
- Select activity Slides on RW - further details (Friday 10/10/25)
  
  Slides on RW - further details (Friday 10/10/25) File PDF
- Select activity Exercises on random walks
  
  Exercises on random walks File PDF
- Select activity Programs in f90 (folders: radioactive decay ; RW)
  
  Programs in f90 (folders: radioactive decay ; RW)
- Select activity Jupyter Notebook on: radioactive decay; RW (by A. Marrazzo)
  
  Jupyter Notebook on: radioactive decay; RW (by A. Marrazzo) File
Select section Unit IV: Metropolis Monte Carlo method, Markov chains (13,15,17 October 2025 - FB)

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Unit IV: Metropolis Monte Carlo method, Markov chains (13,15,17 October 2025 - FB)
- Select activity Contents of the lecture
  
  Contents of the lecture Page
- Select activity Slides on: Markov chains, Metropolis method
  
  Slides on: Markov chains, Metropolis method File PDF
- Select activity Exercises on Metropolis
  
  Exercises on Metropolis File PDF
- Select activity Programs in f90 on Metropolis Monte Carlo
  
  Programs in f90 on Metropolis Monte Carlo Folder
- Select activity Jupyter Notebook on Metropolis Monte Carlo (by A. Marrazzo)
  
  Jupyter Notebook on Metropolis Monte Carlo (by A. Marrazzo) File
Select section Unit V+VI: Ising model (20,22,24 + 27,29,31 Oct 2025 - FB)

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Unit V+VI: Ising model (20,22,24 + 27,29,31 Oct 2025 - FB)
- Select activity Contents of the Lecture
  
  Contents of the Lecture Page
- Select activity Slides on the Ising model - part I
  
  Slides on the Ising model - part I File PDF
- Select activity Ising model - second week
  
  Ising model - second week File PDF
- Select activity Exercises on Ising model
  
  Exercises on Ising model File PDF
- Select activity A paper by D.P.Landau on 2D Ising on SQ lattice with PBC and OBC
  
  A paper by D.P.Landau on 2D Ising on SQ lattice with PBC and OBC File PDF
- Select activity Programs in f90 and gnuplot macros
  
  Programs in f90 and gnuplot macros Folder
- Select activity Jupyter Notebook on Ising model (by A. Marrazzo)
  
  Jupyter Notebook on Ising model (by A. Marrazzo) File
- Select activity HOMEWORK I - Ising model
  
  HOMEWORK I - Ising model Assignment
  
  Opened: Saturday, 1 November 2025, 12:00 AM
  
  Due: Saturday, 15 November 2025, 11:59 PM
  
  For this homework you are requested to make a report on the first part of the Exercise on the Ising model (points from a) to d)). Same suggestions given for the first homework. You are invited to respect the deadline (it will be considered a plus in the examination) but you can upload the file (max 3: report, and code(s)) even later, without limitations; in any case, before the exam.
Select section Unit VII: Metropolis in the canonical ensemble: Lattice gas; approach to equilibrium; simulated annealing (5 [1h lecture + 2h Lab], 7 Nov 2025 - MP)

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Unit VII: Metropolis in the canonical ensemble: Lattice gas; approach to equilibrium; simulated annealing (5 [1h lecture + 2h Lab], 7 Nov 2025 - MP)
- Select activity Contents of the lecture
  
  Contents of the lecture Page
- Select activity Lattice gas. Equilibration and luctuations around equilibrium. Simulated Annealing.
  
  Lattice gas. Equilibration and luctuations around equilibrium. Simulated Annealing. File PDF
- Select activity Exercises Unit VII
  
  Exercises Unit VII File PDF
- Select activity Programs in f90
  
  Programs in f90 Folder
- Select activity Comments after the Lab session
  
  Comments after the Lab session File PDF
- Select activity Jupyter Notebook (only 1D simulated annealing) (by A. Marrazzo)
  
  Jupyter Notebook (only 1D simulated annealing) (by A. Marrazzo) File
Select section Unit VIII: Numerical calculation of definite integrals: deterministic and Monte Carlo approaches (10,12,14 Nov 2025 - MP)

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Unit VIII: Numerical calculation of definite integrals: deterministic and Monte Carlo approaches (10,12,14 Nov 2025 - MP)
- Select activity Contents of the lecture
  
  Contents of the lecture Page
- Select activity Numerical calculation of definite integrals (slides)
  
  Numerical calculation of definite integrals (slides) File PDF
- Select activity Exercises on part a): deterministic methods
  
  Exercises on part a): deterministic methods File PDF
- Select activity Exercises on part b): Monte Carlo methods
  
  Exercises on part b): Monte Carlo methods File PDF
- Select activity Programs in f90
  
  Programs in f90 Folder
- Select activity Jupyter notebook on 1D deterministic integration with equispaced points (by Antimo Marrazzo)
  
  Jupyter notebook on 1D deterministic integration with equispaced points (by Antimo Marrazzo) File IPYNB
- Select activity Jupyter Notebook on Monte Carlo integration, variance reduction with block averages (by A. Marrazzo)
  
  Jupyter Notebook on Monte Carlo integration, variance reduction with block averages (by A. Marrazzo) File
- Select activity Comments (efficiency, correlations...) on Monte Carlo methods for integration and generation of number with a given distribution
  
  Comments (efficiency, correlations...) on Monte Carlo methods for integration and generation of number with a given distribution File PDF
Select section Unit IX: Quantum Monte Carlo: harmonic and anharmonic oscillator, H and He atoms (17,19,21 Nov 2025 - MP)

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Unit IX: Quantum Monte Carlo: harmonic and anharmonic oscillator, H and He atoms (17,19,21 Nov 2025 - MP)
- Select activity Contents of the lectures
  
  Contents of the lectures Page
- Select activity VMC: harmonic and anharmonic oscillator
  
  VMC: harmonic and anharmonic oscillator File PDF
- Select activity Exercises Unit IX
  
  Exercises Unit IX File PDF
- Select activity VMC - comments after Lab session ; H and He atoms (Friday)
  
  VMC - comments after Lab session ; H and He atoms (Friday) File PDF
- Select activity other Exercises Unit IX - H and He atoms (optional)
  
  other Exercises Unit IX - H and He atoms (optional) File PDF
- Select activity Programs in f90
  
  Programs in f90 Folder
- Select activity Jupyter Notebook VMC (by A. Marrazzo)
  
  Jupyter Notebook VMC (by A. Marrazzo) File
- Select activity Fortran module for F2PY (by A. Marrazzo)
  
  Fortran module for F2PY (by A. Marrazzo) File F90
Select section Unit X: Heisenber model (24,26,28 Nov 2025 - FB)

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Unit X: Heisenber model (24,26,28 Nov 2025 - FB)
- Select activity Contents of the lecture
  
  Contents of the lecture Page
- Select activity Exercises X
  
  Exercises X File PDF
- Select activity Programs in f
  
  Programs in f Folder
Select section Unit XI: Deterministic chaos (1,3,5 Dec 2025 - MP)

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Unit XI: Deterministic chaos (1,3,5 Dec 2025 - MP)
- Select activity Content of the lecture
  
  Content of the lecture Page
- Select activity Deterministic chaos
  
  Deterministic chaos File PDF
- Select activity Deterministic chaos (Friday)
  
  Deterministic chaos (Friday) File PDF
- Select activity Exercises Unit XI
  
  Exercises Unit XI File PDF
- Select activity Programs in F90 and Java
  
  Programs in F90 and Java Folder
Select section Unit XII: The Numerov's algorithm for 1D Schroedinger equation (10,12 Dec 2025 - MP)

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Unit XII: The Numerov's algorithm for 1D Schroedinger equation (10,12 Dec 2025 - MP)
- Select activity Slides on Numerov's method
  
  Slides on Numerov's method File PDF
- Select activity Notes by prof. Paolo Giannozzi
  
  Notes by prof. Paolo Giannozzi File PDF
- Select activity Exercise on harmonic oscillator solved via Numerov's method
  
  Exercise on harmonic oscillator solved via Numerov's method File PDF
- Select activity harmonic.gpl (example of a macro for gnuplot)
  
  harmonic.gpl (example of a macro for gnuplot) File GPL
  
  Open gnuplot and after the prompt ("gnuplot>") type: load 'harmonic0.gpl'
- Select activity harmonic0.f90 (by prof. Paolo Giannozzi)
  
  harmonic0.f90 (by prof. Paolo Giannozzi) File F90
- Select activity harmonic.f90 with comments
  
  harmonic.f90 with comments File F90
- Select activity harmonic1.f90 (by prof. Paolo Giannozzi)
  
  harmonic1.f90 (by prof. Paolo Giannozzi) File F90
- Select activity hydrogen_radial.f90 (by prof. P. Giannozzi)
  
  hydrogen_radial.f90 (by prof. P. Giannozzi) File F90
- Select activity Jupyter notebook on Numerov's algorithm (by Antimo Marrazzo)
  
  Jupyter notebook on Numerov's algorithm (by Antimo Marrazzo) File IPYNB
Select section Unit XIII - Diffusion limited aggregates, percolation. Classical fluids. (15 Dec. 2025 - MP)

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Unit XIII - Diffusion limited aggregates, percolation. Classical fluids. (15 Dec. 2025 - MP)
- Select activity Contents of the lecture
  
  Contents of the lecture Page
- Select activity Diffusion limited aggregates; percolation (slides, I part)
  
  Diffusion limited aggregates; percolation (slides, I part) File PDF
- Select activity Classical fluids (slides)
  
  Classical fluids (slides) File PDF
- Select activity Exercises on DLA, percolation (I part)
  
  Exercises on DLA, percolation (I part) File PDF
- Select activity Exercises on classical fluids (II part)
  
  Exercises on classical fluids (II part) File PDF
- Select activity Programs in f90
  
  Programs in f90 Folder
Select section II HOMEWORK (to be given within Jan. 15, 2026, and in any case before the exam)

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II HOMEWORK (to be given within Jan. 15, 2026, and in any case before the exam)
- Select activity II homework
  
  II homework Assignment
  
  Opened: Monday, 29 December 2025, 12:00 AM
  
  Due: Thursday, 15 January 2026, 11:59 PM