JS & SS Mathematics )

**Requirements/prerequisites:** Linear algebra (eg 211), some probability

**Duration:** 21 weeks

**Number of lectures per week:** 3 hours per week, likely to be in one block and held at the
Dublin Institute for Advanced Studies, 10 Burlington Road

**Assessment:**

**End-of-year Examination:** End of year exam, 3 hours, may be held earlier than usual exams.

**Description: **

This is a new course, and will be offered also to UCD students. That may place restrictions on the timing of the exam.

- Basic Statistical Mechanics. Models for magnetism and fluids. Critical exponents.
- Transfer Matrix Solution of the One-Dimensional Ising Model.
- The Mean-Field Weiss-Ising Model.
- The Spherical Model.
- Star-Triangle Transformation.
- The 2-Dimensional Ising Model: Graphical Solution.
- The 2-Dimensional Ising Model: Algebraic Solution.
- The 2-Dimensional Ising Model: Commuting Transfer Matrices.
- The 6-Vertex Model and the Bethe Ansatz.
- The 6-Vertex Model: Commuting Transfer Matrices.

Sep 25, 2002

File translated from T

On 25 Sep 2002, 17:34.