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What’s
hard about that?
You might guess that this gets difficult. Here are a few of the problems:
- Just
a space the size of Earth contains around
1027 particles (a 1 followed by 27 zeroes).
This presents a massive computing problem:
The more particles you add, the slower
your simulation. So you can only run
a fraction of the actual number of particles,
and you can only model small volumes
of space.
- It’s
hard to model both electrons and protons.
You can get away with a bigger time step
for protons: they’re heavier and
move more slowly. But electrons are 1800
times lighter, and you need a correspondingly
smaller time step.
- The
fact that the particles generate electric
currents, which generate fields, which
affect the particles, makes things difficult.
If you can assume that the particles
don’t modify the fields, things
are much easier.
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