CLUSTER 

&GAS: CLUSTER


Parametrisation

In this format, you specify a parametrisation of the cluster size distribution.

In the areas between absorption shells, the distribution usually follows simple power laws, but the shell structure is in general not something which can be neglected.

Format:

CLUSTER FUNCTION cluster_function [N nmax]

Example:

cluster function 1/n^3 n 15

Doing this will produce a warning since, to compute probability to have a cluster size of 0, one would divide by zero.

Additional information on:


Listing

The probabilities for having the various sizes are to be listed over one or more lines following the CLUSTER statement. Note the blank line which delimits the list. You don't have to worry about the normalisation.

Please note that the first number is the probability to have a cluster size of 0, i.e. a cluster without ionisation electrons. When a charged particle traverses a gas, most interactions result only in excitation, not in ionisation. If you set a mean number of clusters per cm which only takes clusters into account that contain at least 1 electron, then you have to set the first probability to 0.

Format:

CLUSTER
prob_size0 prob_size1
...
(blank line)

Example:

CLUSTER
0 0 0.1 0.2 0.5
0.2 0.1 0

// Note that the preceding line is left blank


Mixed

This format is to be used if you wish to enter, for small cluster sizes a measured cluster size distribution and for the larger sizes an asymptotic expression.

Format:

CLUSTER FUNCTION cluster_function [N nmax] OVERLAP-TABLE-AND-FUNCTION
prob_size0 prob_size1
...
(blank line)

Example:

CLUSTER FUNCTION 21.6/N^2 N=200 OVERLAP
0 86 20 10

There has to be a blank line after the cluster sizes. One can also simulate this format by using a Do loop:

cluster
0 86 20 10
For i From 4 To 200 Do
   {21.6/i^2}
Enddo

// Note that the previous line is left blank !

But this would be less efficient since the formula inside the loop (21.6/i^2) is translated each iteration of the loop. Note that there has to be a blank line after Enddo.

A more efficient version of the latter would be:

cluster
0 86 20 10 {21.6/row(200)^2}

// Note that the previous line is blank !


Go to the top level, to &GAS, to CLUSTER, to the topic index, to the table of contents, or to the full text.

Formatted on 21/01/18 at 16:55.