1

 Michael Dennin
 U. C. Irvine
 Department of Physics and Astronomy

2


3

 Single particle classical
 Rigid body classical
 EM
 Quantum
 Waves (strings)
 Relativity

4


5


6

 Physically accessible tensors: stress/strain.
 Practice with differential equations (ODE AND PDE).
 Exposure to CLASSICAL FIELD THEORY.
 Fun Demonstrations!!
 Relevance for undergrads moving into engineering positions
 CRITICAL BACKGROUND FOR CURRENT RESEARCH AREAS!!!

7

 Plasticity in “molecular” systems
 Glassy behavior in liquids
 Flow of “multiphase” materials: granular, foams, colloids, pastes, etc..

8


9

 Initial elastic response (yield stress)
 Flowing regimes:
 Slow shear: “irregular” stress response
 Fast shear: “smooth” flow
 BUBBLES PLAYS CENTRAL ROLE

10


11


12


13


14

 Stress on inner cylinder
 Individual bubble motions
 Automatic tracking gives average properties and topological
rearrangements

15


16


17


18


19


20


21


22

 Correct description of fluctuations:
 Statistical mechanics?
 Chaos theory?
 Spatial fluctuations?
 Something else?

23

 Why does it converge so quickly?
 What sets the critical radius?
 What is the role of T1 events?

24


25


26

 Even continuum mechanics has interesting physics questions left.
 We need to inspire our students with exciting, challenging QUESTIONS,
not just elegant past solutions.
 One such question – Can we describe collective behavior based on simple
principles?

27

