Leeds Statistical Mechanics Discussion Group

Past meetings: Winter 08 session

Initial meeting: October 9th (Thursday) at 2pm in Mall 2
1. Introduction/welcome
2. Jeanne Scott: "Potts models" (scan of participant's notes)

2nd meeting: October 16th (Thursday) at 2pm in Mall 1
1. Jeanne Scott: "Potts models" continued, interpolating:
1a. Paul Martin: "Where's the Physics!? What is a partition function?" (scan of participant's notes)

3rd meeting: October 23rd (Thursday) at 2pm in Mall 1
1. Paul Martin: "Where's the Physics!? (Contd.) The Potts partition function of a graph. The partition vector of a bounded graph. The 1D Ising model." (scan of participant's notes)

4th meeting: October 30th (Thursday) at 2pm in Mall 1
1. Paul Martin: "OK, so what's a partition vector/transfer matrix/correlation function then!? And where's the algebra?" (scan of participant's notes)

5th meeting: November 6th (Thursday) 2pm Mall 1
1. Paul Martin: "...And where's the analysis? Physics and the analytic structure of the partition function." (scan of participant's notes)

6th meeting: November 13th (Thursday) 2pm Mall 1
1. Sathish Sukumaran: "Thermodynamics I." (scan of participant's notes)

7th meeting: November 20th (Thursday) 2pm Mall 1
1. Sathish Sukumaran: "Thermodynamics II." (scan of participant's notes)

8th meeting: November 27th (Thursday) 2pm Mall 1
1. Sathish Sukumaran: "Thermodynamics III." (scan of participant's notes)

9th meeting: December 3rd (Thursday) 2pm Mall 1
1. Robert Marsh: "Potts partition functions -- Concatenating graphs." (scan of participant's notes)

10th meeting: December 10th (Thursday) 2pm Mall 1
1. Sathish Sukumaran: "Thermodynamics IIII."

11th meeting: January 29th (Thursday) 2pm Mall 1
1. Robert Marsh: "Potts partition functions -- Concatenating graphs II."

12th meeting: Feb 5th (Thursday) 2pm Mall 1
1. Robert Marsh: "The Potts transfer matrix: rise of the Temperley-Lieb algebras."

• Some lecture notes (MIT)
• Critical phenomena (book by Zinn-Justin)
• Zuber
• Martin
• Mattis
• Integrable systems in Statistical Mechanics
• Paul's pages on Stat Mech and partition function zeros
• Peter's paper on Yang-Lee partition function zeroes (links to some classic papers)

(Peter to Robert, on quivers in SM)
I have attached some stuff on the connections between quivers and 
Statistical Mechanics for Thursday. I hope some of its helpful ...

0011192v3 - is a handwaving way to define a quiver in Physics

0503149v2 - is a way of defining Statistical Mechanics from quivers

jehp122005025 - is an explicit quiver for the Ising model

0302228v1 - is formally why duals aren't very well defined ideas in
             (space+time) models of Physics. The mapping is known as
             "Wick-rotation", and to further confuse the issue, Physicists
             also interchange Euclidean-time with the temperature "beta"
             in this context.

0610003v2 - is a bit more what I'm doing on "time", using a description of 
9911114v1   the singularities associated with covering maps (space+time
             -> space) called asymptotic freedom.  

(Matt to Sathish, on temperature)
... (omitted -- hopefully Sathish's notes will abstract this)

Organisers: Sathish, Jeanne and Paul