##
Welcome to the 8.334 webpage,

Spring 2003, Statistical Physics II

** Lectures: ** We, Fr, 2-3:30,
in Rm. 12-142
by Prof Leonid Levitov,

Office 12-112,
Telephone: x3-6817,
levitov@mit.edu,

Office hours: Fri, 3:30-4:30;

** Recitations: ** Mo, 2-3:30,
in Rm. 12-142
by Mr Vadim Roytershteyn,

Office 26-205,
Telephone: x3-8539,
roytersh@mit.edu,

Office hours: Tu, 3-4;

** Problem sets: **
weekly, 12 in total, due Wednesday in class (at the beginning of the lecture);

** Term paper: **

A list of term paper topics
postscript
will be provided and discussed in class,
due May 9;

** Final exam: **
May 14 (the last lecture), 1.5 hr long, closed book;

** Grade: **
problem sets 33.3%, final exam 33.3%, term paper 33.3%
Please tell us what you expect to learn in 8.334
and provide information on your background by filling this
questionnaire:
postscript

#### Course syllabus
postscript
and weekly schedule
postscript
(Note: the schedule is tentative and probably will be revised
as we go on).

** Selected lecture notes are available **

** Problem Set #1: **
postscript
** Solutions: **
postscript

** Problem Set #2: **
postscript
** Solutions: **
postscript

** Problem Set #3: **
postscript
** Solutions: **
postscript

** Problem Set #4: **
postscript
** Solutions: **
postscript

** Problem Set #5: **
postscript
** Solutions: **
postscript

** Problem Set #6: **
postscript
** Solutions: **
postscript

** Problem Set #7: **
postscript
** Solutions: **
postscript

** Problem Set #8: **
postscript

** Problem Set #9: **
postscript

** Problem Set #10: **
postscript

** Problem Set #11: **
postscript

** Problem Set #12: **
postscript
** new, re-edited 05/01/03 **

** Lecture 1: Long-range order, symmetry and soft modes **
postscript

** Lecture 2: Phase transitions, the mean field approach **
postscript

** Lecture 3: Symmetry breaking, Landau theory **
postscript

** Lecture 4: Universality classes. Susceptibility and fluctuations **
postscript

** Lecture 5: Fluctuations near phase transition.
Renormalization group **
postscript

** Lecture 6: Real space RG. Blocking, decimation, bonds-moving
**
postscript

** Lecture 7: Scaling theory near critical point
**
postscript

** Lecture 8: Field-theoretic RG. Low dimensional systems.
Nonlinear sigma model.
**
postscript

** Lecture 9:
Topological transition in the XY model.
**
in preparation

** Lecture 10: Sine-Gordon model and Coulomb gas.
Villain duality.
**
postscript

** Lecture 11: Topological melting in 2D.
Dislocations, disclinations, instantons.
**
postscript

** Lecture 12: Field-theoretic RG. Wilson-Fisher fixed point.
**
postscript
** new **

** Lecture 13: Asymptotic symmetry.
Run-away RG trajectories.
**
in preparation

** Lecture 14: Functional integral in statistical mechanics.
**
in progress

Guest lecture by
Prof John Negele,
Quantum Chromodynamics on a Lattice
LINK

Guest lecture by
Prof Gregory Falkovich,
Critical Phenomena and
Scaling Laws in Turbulence
gzipped postscript

Useful links

Lecture notes on Kosterlitz-Thouless transition in the XY model by

Ben Simons
( postscript
pdf ),
Matthew J. W. Dodgson
( postscript
pdf ),
Henrik Jeldtoft Jensen
( postscript
pdf )

A clear and simple discussion
of phase transitions, Landau theory, mean field theory, Ising model, mixtures,
binary alloys, can be found in
lectures by ** Edward Groth ** (Princeton)
--- Also, check other lectures, from lect22.pdf through lect27.pdf

##### Return to the TOP of this page

Last modified: May 2, 2003
Leonid Levitov

levitov@mit.edu