Physics 127b Winter 2015

                  Statistical Physics of interacting systems - critical phenomena

 

 

 

Instructor:  

            Gil Refael
            164 W Bridge, 4705

            refael{at}caltech.edu
            Office Hours : Friday 2-3pm.

 

TA's:

Scott Geraedts
sgeraedt caltech.edu
Office Hours :   Tuesday 3-4pm, WB

Scott's Recitation: Monday 5:30-6:30, Downs 107

Thom Bohdanowicz
thom caltech.edu
Office Hours : Wednesday 4-5pm, 227 Annenberg

 

Syllabus and General Info



Exam download:


    Cover page - download anytime to read conditions


    Full exam text


    Full exam text - Large font


due by Thursday March 19th, 5pm.  

    Final Exam Solutions



 

Lecture Notes

          Week 1 First order phase transitions, Van der Waals equation.
          Week 2 Critical Phenomena and symmetry breaking.
             Week 3 Scaling; Mermin-Wagner Theorem; exact solution of the Ising model in 1d.
             Week 4 Transfer matrices; mean field.

          Week 5 Landau free energy.

          Week 6 Landau free energy example.

          Week 7 Path integral derivation.

          Week 8 Renormalization group.

          Week 9-10 Scaling; fixed points of the Landau theory.

                     

Homework


          PS 1 Virial expansion for interacting gases.

          PS 1 Solutions.



          PS 2 Van-der-Waals and liquid-gas transitions, symmetry breaking and the Ising model.

          PS 2 Solutions.



          PS 3 Transfer matrices; mean-field; Landau theory of phase transitions.
          Goldenfeld's 2-2


          PS 3 Solutions.


          PS 4 Landau free energy and renormalization group.


          PS 4 Solutions.


          PS 5 Scaling and 2d RG.

         

          PS 5 Solutions.



Extra stuff
         

Liquid-gas critical point videos, and critical opalescence:



https://www.youtube.com/watch?v=2xyiqPgZVyw

https://www.youtube.com/watch?v=ei8V5cWZebU

https://www.youtube.com/watch?v=GEr3NxsPTOA