### 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

*lecture notes*: "Topics in Complex Systems -2016" (pdf)

*lecture notes*: "Topics in Complex Systems -2017" (pdf)

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

##### Further Reading

Strongly recommended to supplement the first part (weeks 1-3) of the course.

### Exercises

**Exercise 1**(exercises Sept 7 and 12)

Stat. Mech. and critical exponents

**solutions**

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**

Several sample simulation printouts for a Monte Carlo simulation

**Exercise 4**(exercises Sept 21 (prepare at home and bring to the exercises) )

Series expansion.

**solutions**

Jan's scribbled solutions to the problems

**Computing the free energy from a Monte Carlo simulation [further reading]**

A paper describing how to compute F from a MC simulation

**Description of the cluster update algorithm [further reading]**

Faster MC simulation using cluster updating