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G. Kotalczyk and F. E. Kruis
Fig. 3 Different simulation algorithms which combine the MC constant-number simulations based
on weighted particles with the nucleation process
The merging scheme:
Each simulation entry contains the weight W, and other properties p
(1)
, p
(2)
, p
(3)
, . . .
of the rendered part of the particle population (where p
(i) could be the volume,
porosity, electric charge, etc.). If the simulation entry A (weight W A ) and B (weight
W B ) are merged into the new simulation entry C (weight W C and several properties
p
(i)
C ), the following two rules should apply:
(i) The total weight of the simulation-entries before and after the merge-step should
be preserved:
W C = W A + W B
(6)
(ii) If the total amount of the particle-properties is preserved one can write:
W C · p
(i)
C = W A · p
(i)
A + W B · p
(i)
B
⇔ p
(i)
C =
W A · p
(i)
A + W B · p
(i)
B
W A + W B
(7)