Obtaining Macroscopic Quantities
The density at a site can be found by counting the number of particles at each site. If the particles are multiplied with the unit velocity before being summed, one can obtain the momentum at the site.
However, calculating density, momentum, and velocity for individual sites is subject to a large amount of noise, and in practice, one would average over a larger region to obtain more reasonable results. Ensemble averaging is often used to reduce the statistical noise further.
Read more about this topic: Lattice Gas Automaton
Famous quotes containing the words obtaining and/or quantities:
“And if the civilized man’s pursuits are no worthier than the savage’s, if he is employed the greater part of his life in obtaining gross necessaries and comforts merely, why should he have a better dwelling than the former?”
—Henry David Thoreau (1817–1862)
“The Walrus and the Carpenter
Were walking close at hand:
They wept like anything to see
Such quantities of sand:
“If this were only cleared away,”
They said, “it would be grand!”
“If seven maids with seven mops
Swept it for half a year,
Do you suppose,” the Walrus said,
“That they could get it clear?”
“I doubt it,” said the Carpenter,
And shed a bitter tear.”
—Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)