Fluid
Modeling
Another way to look at a plasma (or any gas), is as a “fluid”. When
you listen to a weather report, they don’t report on the state of the individual
atoms in the atmosphere. Instead they tell you the temperature, pressure, and
wind speed, in different locations. These represent averages over vast numbers
of atoms in the atmosphere: temperature tells you something about the random, “jitter” motion
of the particles, pressure tells you about both the motion and number of particles,
wind speed tells you the average speed of the particles.
You
can do the same thing with a plasma. If
you divide up the area you’re studying
into a grid of boxes, then you can use
a different set of equations to track the
pressure, temperature, velocity, field
strengths, etc., in each box. The equations
will tell you how to update the values
in each box based on the values in the
boxes around them.
This
approach (a common version is called “MHD”,
short for MagnetoHydroDynamics) lets you
cover much larger areas of space than a
particle model would. But there’s
always a trade-off: fluid models can’t
tell you what’s going on with individual
particles, and sometimes that’s important.
And while you save time by not having to
track lots of particles, you now have to
worry about the size of your boxes. Subdividing
your space into smaller boxes gives you
more accuracy and detailed information,
but increases the number of calculations
you have to do.
Real
Research
This might sound a little daunting, but people are doing these kinds of simulations
every day. Very fast computers are used, and some computers actually are “massively
parallel arrays”, where thousands – or tens of thousands – of
computer processors are linked together so that they can all work on the problem
in parallel, meaning ‘at the same time’. Here
are some links to some research web sites. |