Disponible en Español
Instructions
- Once you obtain all the points press "continue" so that
the box counting begins; the boxes which contains parts of
the surface will be counted.
- Continue pressing the button four more times, the scale
increases and also the box number.
- Press "start" to obtain a new ballistic deposition.
Ballistic Deposition
This model was proposed to simulate sedimentations of hydrocarbon
small spheres.
In this application we use a sustrate of 200 units long in which particles
are going to be deposited forming columns; random numbers are used to
simulate the place where the generated particle will be deposited according
to simple rules.
For details of the calculation see the book by Landau and Páez "Computational Physics" , Wiley and Sons Inc. 1997.
The interesting aspect of this application is that the surface is a fractal
and the fractal dimension is determined with the box counting technique,
which consists in:
- An scale s is chosen and the number N of squares
that contain surface points are counted.
- Here we begin with an scale 1:3, that is s =3,
- Next we take a bigger scale 1:6, then s = 6, and again the
squares (N) are counted, a graph of log(N) versus log(s).
- We continue duplicating the scale, count the squares number (N) and
plot them in the graph, and finally the slope:
- log(N1) -log(N2)
log(s2)-log(s1)
- gives the fractal dimension.