Structure of paper for unsccm'09 procs

1x - triple, quadruple; 2x- triple, quadruple

delta(s) curves; delta_dot fields.

Standard notation summarized elsewhere, to mirror the proposal as closely as possible to avoid ambiguities.

Particular system: 2xtriple

Questions: Where shall we describe our indentation
Defect Structure(fig refs from proposal)
1) Saddle node scaling - deltaDot(depth)
--Fig 7 left
2) Rescaling of deltaDot wrt sqrt(delD)
--Fig 4 (left & right)
Story for 1 &2)
-> Usual saddle node square root criticality arising from (atleast) a 3rd order polynomial representing energy as it can form inflection/saddle points. Locus of minima is a diverging parabola.
-> Why we work at 0K: want to track the minima as closely as possible
-> Can demonstrate: evidence of the square root scaling, onset of scaling from as far as 1e-2 : should try to relate this to energy change in the crystal as this shall be a measure of barrier height?
-> Geometrical Instability: role of lowest mode(s) leads smoothly to point 4 (so switch 3 & 4?).

3) Small values of delta(s) @ criticality
--Fig 6 (all 3) + Picture of the velocity vector field without circles {in a grid of 2-by-2}
**Talk about the Pierels framework -- look harder at the proposal.

4) Lowest eigs wrt to deltaD (have this only for MD, do we need for energy minimization???)
--Standard 2 pictures (eigVals evolution + zoomed view) from the Chaos submission.
** Usual story from the Chaos submission. May have to modify if we decide to have energy minimization modes.

Mesoscale Resolver:
1) Min_eig (x,r,R;delD)
Have picture for 2xtriple.
--Fig 8 (left), maybe fig 8(centre) -- not sure as it doesn't present a clear picture.
--Festering Wound Picture from the blog (15 Oct, '09 post).
Have log scale plot but nothing to show dependence on delD.
-- Might be interesting to demonstrate pictorially the observation: 'as long as the mesoscale probing region intersects the defect core, we obtain the characteristic dislocating lowest mode'. What sort of picture shall one make here ? A 2-by-4 grid might do a good job ?? Just found the pictures, they look somewhat strange ...(in Mac in ~/Desktop/mesoModes/)

2) delta_dot(s) (x,r,R;delD)
--Will have to make picture, not entirely clear what we want. What does it mean to look at meso-scale velocity/displacement field?

___________________________________________

More to do on indentation:
-- Use previous displacement as an initial guess with decimation and see what happens.
-- Writing class smoothIndenter to abstract fix_indent. Main problem: efficiently (& cleanly) changing a single line in a text file.