  Columnar jointing is a fracture pattern common in igneous rocks in which
cracks self-organize into a roughly hexagonal arrangement, leaving behind an
ordered colonnade. We report observations of columnar jointing in a laboratory
analog system, desiccated corn starch slurries. Using measurements of moisture
density, evaporation rates, and fracture advance rates as evidence, we suggest
an advective-diffusive system is responsible for the rough scaling behavior of
columnar joints. This theory explains the order of magnitude difference in
scales between jointing in lavas and in starches. We investigated the scaling
of average columnar cross-sectional areas due to the evaporation rate, the
analog of the cooling rate of igneous columnar joints. We measured column areas
in experiments where the evaporation rate depended on lamp height and time, in
experiments where the evaporation rate was fixed using feedback methods, and in
experiments where gelatin was added to vary the rheology of the starch. Our
results suggest that the column area at a particular depth is related to both
the current conditions, and hysteretically to the geometry of the pattern at
previous depths. We argue that there exists a range of stable column scales
allowed for any particular evaporation rate.
