Algorithms and Computations - Département de Physique de l'Ecole Normale supérieure

Why choose this program? Program, courses and calendar Master ICFP 1st year (2023-2024) 2023-2024 Calendar and timetable Courses Internships Program, courses and calendar Master ICFP 1st year (2022-2023) 2022-2023 Calendar and timetable Courses Internships Program, courses and calendar Master ICFP 2nd year 2023-2024 First Semester Second Semester "Physics Now" Seminars 2019/2020 "Physics Now" Seminars 2020/2021 "Physics Now" Seminars 2021/2022 "Physics Now" Seminars 2023/2024 "Physics Now" Seminars 2022/2023 Internships 2023 2024 calendar Program, courses and calendar Master ICFP 2nd year 2022-2023 First Semester Second Semester "Physics Now" Seminars 2019/2020 "Physics Now" Seminars 2020/2021 "Physics Now" Seminars 2021/2022 "Physics Now" Seminars 2022/2023 Internships 2022 2023 calendar Admission and Language Requirements How to apply Information for students Information for International Students Fees and Scholarships Careers Master Intranet Archives Erreur ( A supprimer) Program, courses and calendar Master ICFP 1st year (2021-2022) Program, courses and calendar Master ICFP 1st year (2021-2022) Program, courses and calendar Master ICFP 2nd year 2021-2022 Program, courses and calendar Master ICFP 2nd year 2020-2021 Program, courses and calendar Master ICFP 2nd year 2019-2020 Archives 2015-2016 Archives 2016-2017 Archives 2017-2018 Archives 2018-2019 Archives 2019-2020 Archives 2020-2021

Algorithms and Computations

Quick links

Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr

Quick links

Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr

Faculty : Ludovic Berthier
Tutor : Michel Ferrero
ECTS : 6
Teaching language : English

Examination: Homeworks and written exam.

Each week there will be 2 hours of lectures followed 2 hours of TD.

Description

Computational physics plays a central role in all fields of physics, from classical statistical physics, soft matter problems, and hard-condensed matter. Our goal is to cover the very basic concepts underlying computer simulations in classical and quantum problems, and connect these ideas to relevant contemporary research problems in various fields of physics. In the TD’s you will also learn how to set, perform and analyse simple computer simulations by yourself. We will use Python, but no previous knowledge of this programming language is needed.

1) Introduction to computational physics
Brief history and examples

2) Monte Carlo methods
Markov chains, Metropolis algorithm
Statistical analysis of errors

3) Monte Carlo simulations of Ising models
Application to Ising models and non-equilibrium phenomena

4) Monte Carlo simulations for off-latice models
Some interesting details: Forces, neighbors, hard spheres
Application to classical fluids

5) Molecular Dynamics
Equations of motion, statistical ensembles

6) Complex and disordered systems
Interesting problems and solutions: simulated annealing, parallel tempering

7) Complex situations
Umbrella sampling, reweighting and phase transitions studies

8) Matrix diagonalisation in quantum physics
Lanczos or Density Matrix Renormalisation Group for quantum spin systems

9) Path integral approach to quantum problems
Quantum particles in arbitrary potentials

Quick links

Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr