- #1
intervoxel
- 195
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I've been struggling with the problem below for some time. It is not a homework.
A simple bubble S is a spherical surface that expands with constant speed c. A vector bubble V also expands with the same constant speed c. There is a 3d vector associated with a V.
If two S bubbles touch, they are both reissued at the contact point, while two V bubbles never interact.
If an S and a V touch, they are reissued at the point where the line defined by the vector of V, passing through the origins, pierces the respective spherical surface.
Initially, a number of NS of simple bubbles and NV vectorial ones are randomly distributed in a given volume. The vectors are also random but biased in a preferred direction.
As the system evolves, it is supposed that the bubbles move as a packet with constant speed v at the direction of the resultant vector of all the V's vectors.
The space is either continuous or discrete, that is, we have two distinct cases.
What is the packet speed v in the discrete case?
Thanks for any help.
A simple bubble S is a spherical surface that expands with constant speed c. A vector bubble V also expands with the same constant speed c. There is a 3d vector associated with a V.
If two S bubbles touch, they are both reissued at the contact point, while two V bubbles never interact.
If an S and a V touch, they are reissued at the point where the line defined by the vector of V, passing through the origins, pierces the respective spherical surface.
Initially, a number of NS of simple bubbles and NV vectorial ones are randomly distributed in a given volume. The vectors are also random but biased in a preferred direction.
As the system evolves, it is supposed that the bubbles move as a packet with constant speed v at the direction of the resultant vector of all the V's vectors.
The space is either continuous or discrete, that is, we have two distinct cases.
What is the packet speed v in the discrete case?
Thanks for any help.