110 http://isa.epfl.ch/imoniteur_ISAP/ itffichecours.txt?path=EPFL.Etu.FicheCours.HeaderFR itffichecours.txt?path=EPFL.Etu.FicheCours.GlobalNav_js fr 2026 944917 6683147 944917 2840683608 2840683608 0 0 Science et genie des materiaux MX STI Faculté des sciences et techniques de l'ingénieur School of Engineering !itffichecours.htm?ww_i_matiere=1888394738&ww_x_anneeAcad=2840683608&ww_i_section=944917&ww_i_niveau=6683147 1696552884 1696552963 2025-2026 COURSE BOOKLET MSE-421 Statistical mechanics Statistical mechanics Lecturers Ceriotti Michele Language of teaching English Cursus Materials Science and Engineering(2025-2026, MX - Master 2024)
Materials Science and Engineering(2025-2026, MX - Master 2025)
Minor in Quantum Science and Engineering(2025-2026, Mineur : Science et ingénierie quantiques 2025-26)
Quantum Science and Engineering(2025-2026, SIQ - 2024)
Quantum Science and Engineering(2025-2026, SIQ - 2025)
SemesterMand.OptionFilières
Ex
MA2, MA4x
MA2, MA4xA B
 Credits 4 Session Summer Workload 120h Exam Oral Number of positions Semester Spring Weeks 14 Hours 4 weekly
Courses 2 weekly
Exercises 1 weekly
Lab 1 weekly
Study planSemesterMand.OptionFilières
Mineur : Science et ingénierie quantiques 2025-26Ex
Science et génie des matériaux 2025-26MA2x
Science et génie des matériaux 2025-26MA4x
Science et ingénierie quantiques 2025-26MA2xA B
Science et ingénierie quantiques 2025-26MA4xA B
Cursus Sem. Type
Materials Science and Engineering MA2, MA4 Opt.
Minor in Quantum Science and Engineering E Opt.
Quantum Science and Engineering MA2, MA4 Opt.
Summary This course presents an introduction to statistical mechanics geared towards materials scientists. The concepts of macroscopic thermodynamics will be related to a microscopic picture and a statistical interpretation. Lectures and exercises will be complemented with hands-on simulation projects. Content
  • From macroscopic thermodynamics to statistical mechanics
  • Probability: binomial distribution, central limit theorem, normal distribution
  • Ensembles, observables and the partition function
  • Examples from materials science
  • Undistinguishable particles: Fermi and Bose-Einstein distributions
  • Phase transitions: Ising model, spin glasses
  • A brief introduction to renormalization group theory
  • Theory of liquids - structure factor and radial distribution function
  • Statistical theories of polymers
 Keywords

thermodynamics, statistics, entropy, free energy

 Learning Prerequisites Important concepts to start the course

Phenomenological thermodynamics, probability and statistics. A brief "reminder" will be included at the beginning of the course. Practical exercises will be based on Mathematica notebooks: while they are structured in such a way that knowledge of Mathematica programming is not necessary, some familiarity with the software might be useful to go beyond the basic objectives of the exercises. 

 Learning Outcomes By the end of the course, the student must be able to:
  • Compute probabilities of correlated events
  • Construct the partition function of simple model systems
  • Compare thermodynamic concepts and the correspondent microscopic mechanisms
  • Solve simple materials science problems using statistical tools
  • Describe statistical models of liquids and polymers
  • Explain the meaning of renormalization group theory
  • Conduct computer experiments using the provided simulation code
  • Differentiate the meaning of different ensembles, and of the indistinguishability of quantum particles
 Teaching methods

Ex cathedra, exercises, and guided simulation projects

 Expected student activities

Students are expected to study demonstrations and fundamental concepts following the course slides and the reference books, to solve the problems given during the exercise sessions, and to prepare (in groups) reports for the computational laboratory activities.

 Assessment methods

Continuous evaluation, graded lab reports, final oral exam

 Resources Bibliography

E. Fermi, Thermodynamics, Dover

D. Chandler, Introduction to Modern Statistical Mechanics, Oxford University Press

K. Huang, Statistical Mechanics

J. M. Yeomans, Statistical Mechanics of Phase Transitions

 Ressources en bibliothèque
  • Find the references at the Libraryhttps://slsp-epfl.primo.exlibrisgroup.com/discovery/search?query=course_code,contains,%22MSE-421%202025-2026%22&tab=41SLSP_EPF_MyInst_and_CI&search_scope=MyInst_and_CI&vid=41SLSP_EPF:prod
 Notes/Handbook

Comprehensive lecture slides will be provided before each lecture

 Moodle Link Science et génie des matériaux, 2025-2026, Master semestre 2 Materials Science and Engineering, 2025-2026, Master semester 2 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2025-2026 Master semestre 2 MA2 ETE Master semester 2 MA2 Science et génie des matériaux MX Materials Science and Engineering MX
Science et génie des matériaux MX Materials Science and Engineering MX
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Ceriotti Michele 235586
Science et génie des matériaux MX Materials Science and Engineering MX
1 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Ceriotti Michele 235586
Science et génie des matériaux MX Materials Science and Engineering MX
1 Labo Lab Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Ceriotti Michele 235586
Science et génie des matériaux MX Materials Science and Engineering MX
1888394738 Statistical mechanics Statistical mechanics 4
Oral Oral Crédit Credits 4 Session été Session summer ETE ETE
Science et génie des matériaux, 2025-2026, Master semestre 4 Materials Science and Engineering, 2025-2026, Master semester 4 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2025-2026 Master semestre 4 MA4 ETE Master semester 4 MA4 Science et génie des matériaux MX Materials Science and Engineering MX
Science et génie des matériaux MX Materials Science and Engineering MX
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Ceriotti Michele 235586
Science et génie des matériaux MX Materials Science and Engineering MX
1 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Ceriotti Michele 235586
Science et génie des matériaux MX Materials Science and Engineering MX
1 Labo Lab Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Ceriotti Michele 235586
Science et génie des matériaux MX Materials Science and Engineering MX
1888394738 Statistical mechanics Statistical mechanics 4
Oral Oral Crédit Credits 4 Session été Session summer ETE ETE
Science et ingénierie quantiques, 2025-2026, Master semestre 2 Quantum Science and Engineering, 2025-2026, Master semester 2 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2025-2026 Master semestre 2 MA2 ETE Master semester 2 MA2 Science et ingénierie quantiques SIQ Quantum Science and Engineering SIQ
Science et ingénierie quantiques SIQ Quantum Science and Engineering SIQ
A B optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Ceriotti Michele 235586
Science et génie des matériaux MX Materials Science and Engineering MX
1 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Ceriotti Michele 235586
Science et génie des matériaux MX Materials Science and Engineering MX
1 Labo Lab Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Ceriotti Michele 235586
Science et génie des matériaux MX Materials Science and Engineering MX
1888394738 Statistical mechanics Statistical mechanics 4
Oral Oral Crédit Credits 4 Session été Session summer ETE ETE
Science et ingénierie quantiques, 2025-2026, Master semestre 4 Quantum Science and Engineering, 2025-2026, Master semester 4 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2025-2026 Master semestre 4 MA4 ETE Master semester 4 MA4 Science et ingénierie quantiques SIQ Quantum Science and Engineering SIQ
Science et ingénierie quantiques SIQ Quantum Science and Engineering SIQ
A B optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Ceriotti Michele 235586
Science et génie des matériaux MX Materials Science and Engineering MX
1 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Ceriotti Michele 235586
Science et génie des matériaux MX Materials Science and Engineering MX
1 Labo Lab Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Ceriotti Michele 235586
Science et génie des matériaux MX Materials Science and Engineering MX
1888394738 Statistical mechanics Statistical mechanics 4
Oral Oral Crédit Credits 4 Session été Session summer ETE ETE
Mineur en Science et ingénierie quantiques, 2025-2026, Semestre printemps Minor in Quantum Science and Engineering, 2025-2026, Spring semester Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2025-2026 Semestre printemps E ETE Spring semester E Mineur en Science et ingénierie quantiques MIN_SIQ Minor in Quantum Science and Engineering MIN_SIQ
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Ceriotti Michele 235586
Science et génie des matériaux MX Materials Science and Engineering MX
1 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Ceriotti Michele 235586
Science et génie des matériaux MX Materials Science and Engineering MX
1 Labo Lab Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Ceriotti Michele 235586
Science et génie des matériaux MX Materials Science and Engineering MX
1888394738 Statistical mechanics Statistical mechanics 4
Oral Oral Crédit Credits 4 Session été Session summer ETE ETE
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