Physics 210A
Time/Location:  M W 9:30 – 10:50am; Mayer Hall Addition 5623 F 22:50pm (extra lecture as needed); MHA 5623 TA Discussion session: M 44:50pm; MHA 5623 
Lecturer:  Prof. Terry Hwa phone: 47263; email: 
TA:  Brian Vermilyea email: 
Office Hours:  instructor (Urey 7222): Tuesday 2:303:30pm or by appointment [no email consultation on HW the day before due] TA (MHA 5651): Monday: 56pm; Thursday: 23pm 
Course URL:  this page (https://matisse.ucsd.edu/s24statmech/) 
Grade  4 problem sets (40%); inclass midterm (10%), and inclass final (50%). Scheduled final time: 811am, Wednesday 6/12 
Prerequisite:  undergraduate thermodynamics and statistical mechanics; or equivalent. 
Course outline
 Introduction; review of thermodynamics and entropy
 Classical ensemble theory and applications
 Quantum statistical mechanics
 Statistical mechanics of interacting systems
 Phase transition and critical phenomena
Reference Books:
There are many textbooks on this classical subject. You may wish to consult some of the standard textbooks, e.g., those by Pathria, Huang, Landau & Lifshitz for classical and quantum stat mech, and the book by Kardar for phase transition and critical phenomena.
Course schedule (tentative):
Date  Topics  assignment  
L1  Mon, Apr 1  Intro to stat mech; review of thermodynamics and entropy [note]  HW1 due Mon Apr 15 
Wed, Apr 3  no class  
L2  Mon, Apr 8  thermodynamic relations and potentials; microcanonical ensemble [note]  
L3  Wed, Apr 10 
entropy and density of states; partition function [note]  
L4  Fri, Apr 12 (23pm) 
partition function and Legendre transform; Helmholz free energy [note]  
L5  Mon, Apr 15 
canonical ensemble and partition function [note]  HW1 soln 
L6  Wed, Apr 17 
maximal entropy principle; simple applications of canonical ensemble [note]  HW2 due Wed May 1 (before class) 
L7  Mon, Apr 22 
paramagnetism; intro to theory of polymer: entropic elasticity [note]  
Mon, Apr 22 (45pm) 
TA discussion: review HW #1; help on HW#2  
L8  Wed, Apr 24 
mapping to path integral; confinement cost & delocalization; excludedvolume interaction [note]  
L9  Mon, Apr 29 
polymer scaling theory; Grand canonical ensemble [note]  practice problems 
Mon, Apr 29 (45pm) 
TA discussion: HW #2  soln to practice problems  
Wed, May 1  TA review session (HW2 & practice problems)  
Fri, May 3 (22:50 pm) 
inclass midterm (test starts promptly at 2pm; you can bring 2 pages of notes handwritten by you)  midterm soln  
L10  Mon, May 6  Grand canonical ensemble; equation of state; chemical equilibrium [note] [video]  HW2 soln 
L11  Wed, May 8  Quantum Stat Mech: quantum manybody state; quantum distribution functions [note]  HW3 due Fri May 24 
L12  Mon, May 13 
weak degeneracy; Virial expansion; strong degeneracy; Sommerfeld expansion [note]  
L13  Wed, May 15 
degenerate electron gas: Fermi energy; pressure and specific heat at low temp [note]  
L14  Fri, May 17 (2:002:50pm) 
degenerate Bose gas: BoseEinstein condensation; thermodynamic properties of Bose gas [note]  
L15  Mon, May 20 
interacting classical gas: van der Waals eqn of state; liquidgas transition [note]  
L16  Wed, May 22 
Intro to ferromagentism; Ising model; Weiss meanfield theory [note]  
L17  Fri, May 24 (1:302:50pm) 
mixing entropy and BraggWilliams MFT [note] 
HW4 (modified) due Fri Jun 7 
Mon, May 27  No class (Memorial Day)  HW3 soln  
L18  Wed, May 29 
variational meanfield theory; Potts model [note]  
L19  Mon, Jun 3 
spatial correlation in the meanfield approximation [note]  
L20  Wed, Jun 5 
selfconsistency of meanfield theory; Ginzburg’s criterion; LandauGinzburg theory of phase transition [note]  mock final 
Mon, Jun 10  instructor office hour: noon2pm TA office hour: 4pm– 
HW4 soln mock final soln 

Final  Wed Jun 12 (811am) 