Earth & climate · the experiment
Find who takes the charge
Two grains of the same sand, one impact, a gap of a few thousandths of a degree. Four questions, from beginner to expert, on the heat that decides the charge.
1 · Find what pushes the charge
Beginner
According to this theory, what pushes the charge from one grain to the other?
2 · Work out the new voltage
According to equation 4 of the paper, for the same heat per impact and the same number of impacts, the voltage between a small grain (radius R_s) and a large one (radius R_l) scales as R_s⁻³ − R_l⁻³.
A grain of radius 100 micrometres hits one of radius 200 micrometres. The small one is replaced by a grain of radius 50 micrometres.
Intermediate
By what factor is the voltage multiplied?
3 · Weigh two twin grains
The model deposits the same heat on both surfaces in contact. Two identical quartz grains, each of radius 100 micrometres, collide thousands of times.
Expert
What does the model predict for their charge?
4 · Follow the heat over thousands of impacts
For a single impact, the size of the voltage depends on S/k, where k is the material's thermal conductivity. The authors then move on to repeated impacts (equation 3).
Expert
What takes the place of the conductivity k?
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