Physics 653 Lectures: outline and handouts list (Fall 2007)

Unit 1: Random walks

Lec. 1.1: Random walks in 1D

• Lec. 1.1 B: "Motile Behavior of Bacteria." by Howard C. Berg, Physics Today, Vol. 53 Issue 1, pp 24-29 (Jan. 2000). Out 8/23/07
• Lec. 1.1 B/C: Conditional expectation; repair prob. return to origin. Out 8/31/07

Lec. 1.2: Random walks: dimensionality and trapping

• Lec. 1.2 A Table: electrostatic analogy Out 8/31/07
• Lec. 1.2 (traps): "Photochemical reaction center" fig. 7-48 from Molecular Biology of the cell , Bruce Alberts et al (2nd edition, 1989), p. 374. Out Tu 9/4/07
• Lec. 1.1/1.2 Table: catalog of trap questions Out 9/4/07
• Lec. 1.1-1.3 References for Unit I Out 9/6/07
• Lec. 1.1 (belated) Notes on interacting walkers Out 9/11/07

Lec. 1.3: Master equation (discrete state dynamics)

• Lec. 1.3 (belated) (Master eqn): a riddle from channel proteins Out Th 9/13/07

Unit 2: Phase transitions and R.G.

Lec. 2.1: Lattices and models

• Lec. 2.1 Lattices and models Out 9/6/07

Lec. 2.2: Critical phenomena

• Lec. 2.2 A Values of critical exponents Out Th 9/13/07 (online 9/11)

Lec. 2.3: Mean-field theory

• Lec. 2.3 (O) Outline/overview Lec. 2.3 (MFT) Out M 9/17/07 [scanned]
• Lec. 2.3 (O-S) Lec. 2.3 supplement: Routes to mean-field theory Out M 9/17/07 [stapled to prev. item.] (Typos: "Lec 7 C" and "handout 5F" are not in the present version of P653.)
• Lec. 2.3 D Scaling in MFT: m(h) To go out Th 9/20/07. [ crude version was out Tu 9/18/07.]

Lec. 2.4: Mean-field correlations

• Lec. 2.4 (O) Outline/overview (MFT correlations) Out Tu 9/18/07 [scanned]
• Lec. 2.4 C: Doing the integral(s) Out Tu 9/18/07 [scanned; stapled to prev. item]
• Lec. 2.4 D Ginzburg criterion (?) Out Th 9/20/07 [scanned]

Lec. 2.4': Scaling forms (mostly skipped in class)

• Lec. 2.4'A Scaling forms (and tricks) 1st part Out Tu 9/18/07
• Lec. 2.4'B Scaling plots Out Tu 9/18/07 [scanned; stapled to prev.item]
• Lec. 2.4'BCDE Scaling forms: rest (incl figures) Out Th 9/20/07

Lec. 2.5: Renormalization group introduction

• Lec. 2.5 (O) Outline/overview (R.G. Basics) Out Th 9/20/07 [scanned]
• Lec. 2.5 A Ising configurations illustrating self-similarity Out Th 9/20/07 [scanned; stapled to prev.item]
• Lec. 2.5 C Figures: R.G. flows Out Th 9/20/07 [scanned; stapled to prev.item]
• Lec. 2.5 C Table: kinds of R.G. fixed point Out Th 9/20/07 [scanned; stapled to prev.item]

Lec. 2.6: R.G. flows (and exponents)

• Lec. 2.6 (O) Outline: R.G. flows Out Tu 9/25/07 [scanned]
• Lec. 2.6 AB 2.6A (1D decimation); 2.6B (why fails in 2D) Out Tu 9/25/07 [scanned; stapled to prev.item]
• Lec. 2.6 B 2.6B (sketch of real-space and mom.-space methods) Out Tu 9/25/07 [scanned; stapled to prev.item]
• Lec. 2.6 CD One-parameter flow; 2-parameter flow Out Tu 9/25/07 [scanned; stapled to prev.item]
• Lec. 2.6 E Irrelevance Out Th 9/27/07 [scanned]
• Lec. 2.6 F Crossovers Out Th 9/27/07 [scanned; stapled with prev. item]

Lec. 2.7: Momentum-space R.G.

• Lec. 2.7 (intro) Mom.-space RG and its results (1 page cartoon) Out electronically Th 9/27/07 [scanned]
• Lec. 2.7 Momentum-space RG Out Th 9/27/07.

Unit 3: Stochastic dynamics

Lec. 3.1: Dynamics II introduction

• Lec. 3.1 Dynamics II intro: Outline Out Tu 10/2/07. [scanned]
• Lec. 3.1 Dynamics II intro: pp. 55-58 from 'Stochastic Processes in Physics and Chemistry', by N. G. van Kampen (2nd ed., 1992), "Stochastic processes in physics." [handout; not online]. Out Tu 10/2/07. [scanned]
• Lec. 3.1 C Noise spectrum Out Tu 10/2/07. [scanned; stapled with prev. item]
• Lec. 3.1 E Kramers-Kronig relations Out Tu 10/2/07. [scanned; stapled with prev. item]

Lec. 3.2: Stochastic differential equations

• Lec. 3.2 Stochatic D.E.'s: Outline Out Th 10/4/07.
• Lec. 3.2 A (suppl) Levy stable distribution Out W 10/10/07.
• Lec. 3.2 B Table: stochastic D.E.'s Out Th 10/4/07. [stapled to prev. item]
• Lec. 3.2 C Alternative derivation drift term w(phi) Out Th 10/4/07. [stapled to prev. item]

Lec. 3.3: Fluctuation-dissipation relations I: Einstein relation

• Lec. 3.3 Fluctuation-dissipation I: Einstein relation (Outline) Out Th 10/11/07.
• Lec. 3.3 C Kernels Out Th 10/11/07. [stapled to prev. item]
• Lec. 3.3 (C?) optical tweezer figures Out Th 10/11/07. [stapled to prev. item]

Lec. 3.4: The fluctuation-dissipation theorem

• Lec. 3.4 (Outline) Fluctuation-dissipation II: F-D theorem Out Tu 10/29/07.
• Lec. 3.4 A Derivation of F.D.T.: Set-up Out Tu 10/29/07. [stapled to prev. item]
• Lec. 3.4 B. Main derivation Out Tu 10/29/07. [stapled to prev. item]
• Lec. 3.4 B(2). Followup Out Tu 10/29/07. [stapled to prev. item]

Unit 4: Polymers etc

Lec. 4.1: Overview: Polymers and entropic forces

• Lec. 4.1 Outline
  • A. Table, some familiar polymers as plastics.
  • B. Table, heteropolymers in biology
  • C. Table, embedding a manifold in a higher dimensional space
  Out Th 11/1/07.
  • Figures from Chaikin & Lubensky
  [all scanned together, oops]
• Lec. 4.1 Article "Soft condensed matter: where physics meets biology, by Wilson Poon, Tom McLeish, and Athene Donald, Physics World , May 2001, pp 33-38. Out Th 11/1/07. [Copy not posted.]

Lec. 4.2: Ideal polymers

• Lec. 4.2 (Outline) Ideal Polymers Out Tu 11/6/07.

Lec. 4.3: Self interacting polymers

• Lec. 4.3 (Outline) Self interacting Polymers Out Th 11/8/07.
• Lec. 4.3: Figures from R. Zallen, The Physics of Amorphous Solids Out Th 11/8/07. [Stapled to prev. item]

Unit 5: Kosterlitz-Thouless theory

Lec. 5.1: 2D XY model: correlations and vortices

• Lec. 5.1 (Outline) 2D XY model: correlations and vortices Out Tu 11/13/07.
• Lec. 5.1 A Examples of "Kosterlitz-Thouless" systems (table) Out Tu 11/13/07 [stapled to prev. item]
• Lec. 5.1 C Vortices (figures) Out Tu 11/13/07 [stapled to prev. item]
• Lec. 5.1 C(2) Electrostatic analogy Out Tu 11/13/07 [stapled to prev. item]
• Lec. 5.1 C' Boojum topological defect Start of ``E Pluribus Boojum: the physicist as neologist'' by N. David Mermin, pp. 46-53 in Physics Today, April 1981. Transp. in class Th 11/29/07 (posted 11/30)

Lec. 5.2: 2D XY model: Kosterlitz-Thouless Renormalization group

• Lec. 5.2 (Outline) 2D XY model: Kosterlitz-Thouless R.G. Out Tu 11/20/07 [Th 11/15, eve, electronically]
• Lec. 5.2B Notes on the Kosterlitz-Thouless R.G. Out Th 11/20/07 [stapled to prev.item]
• Lec. 5.2B (Figure) Results: Bishop & Reppy expt. Out Th 11/20/07 [stapled to prev.item]
• Lec. 5.2 C (Table) Realizations of "locking" Out Th 11/20/07 [stapled to prev.item]
• Lec. 5.2 C Spin anisotropy in the XY model (d=2) Out Th 11/20/07 [stapled to prev.item]

Lec. 5.3: Interfaces and roughening

• Lec. 5.3 (Outline) Interfaces and roughening Out Tu 11/27/07
• Lec. 5.3 Class notes: Interfaces and roughening Out 11/27/07
• Lec. 5.3C Roughening in d=2+1 as unlocking Out 11/27/07
[stapled to previous item]