Center for Models of Life
Niels Bohr Institute
Course Materials

Reading material

For the first part of this course we recommend using the book J. M. Yeomans, "Statistical Mechanics of Phase Transitions" (Oxford Science Publications). More condensed notes of relevant material is available from the lecture notes by Kim Sneppen and Jan O. Haerter. As a general orientation, the exam will be based on the material covered in class as well as the exercises. We however encourage further reading, e.g. by the additional recommendations given below.

Lecture Notes
  • Kim Sneppen, lecture notes: "Topics in Complex Systems" (pdf)

  • Jan O. Haerter, lecture notes: "Statistical Mechanics, the Ising Model and Critical Phenomena" (pdf) (draft, notes subject to updates and corrections).

    Further Reading
  • J. M. Yeomans, "Statistical Mechanics of Phase Transitions", some copies available at NBI library, others can be purchased at Academic books, Noerre alle 20.
    Strongly recommended to supplement the first part (weeks 1-3) of the course.

  • M. Plischke and B. Bergersen, "Equilibrium Statistical Physics", useful as an additional, detailed, resource on statistical physics and phase transitions.

  • S.K. Ma, "Statistical Mechanics", background reading on statistical mechanics.


    Exercise 1 (exercises Sept 7 and 12)
    Stat. Mech. and critical exponents

    solutions (problems 1-3)
    Jan's scribbled solutions to the problems

    Exercise 2 (exercises Sept 14 and 19)
    Critical exponents, 1D and 2D Ising model

    solutions(problems 1-4)
    Jan's scribbled solutions to the problems
    problem 5: see updated lecture notes.

    Exercise 3 (exercises Sept 19 (prepare at home and bring to the exercises) )
    Monte Carlo Simulation.

    solutions (will be posted)

    Exercise 4 (exercises Sept 21 (prepare at home and bring to the exercises) )
    Series expansion.

    solutions (will be posted)

    Further exercises will be uploaded here as the course progresses.

    Office hours

    We encourage students to approach the instructors with possible queries or difficulties with exercises. We do not hold formal office hours but are generally available on an informal basis - just knock on the door :)