Cluster analysis

Input:Output:

This modifier decomposes a particle system into disconnected sets of particles (clusters) based on a distance criterion.

A cluster is defined as a set of connected particles, each of which is within the cutoff distance of one or more other particles from the same cluster. Thus, any two particles from the same cluster are connected by a continuous path consisting only of steps which are shorter than the given cutoff distance. Conversely, two particles will not belong to the same cluster if there is no continuous path on the neighbor network leading from one particle to the other.

If a particle possesses no neighbors within the cutoff distance, then it will form a 1-particle cluster.

The modifier outputs its results to the Cluster particle property, which stores the cluster each particle has been assigned to. Cluster IDs range from 1 to N, where N is the number of clusters found by the modifier.

Parameters

Cutoff distance

The distance threshold up to which two particles are considered direct neighbors and assigned to the same cluster.

Use only selected particles

If this option is active, the clustering algorithm is restricted to selected particles. Unselected particles will be treated as if they do not exist and will be assigned the cluster ID 0.

Sort clusters by size

Enables the sorting of clusters by size (in descending order). Cluster ID 1 will be the largest cluster, cluster ID 2 the second largest, and so on.

Exporting the output of the clustering algorithm

Number of clusters

To export the total number of clusters to a text file (possibly as a function of simulation time), use OVITO's standard file export function. Choose the output file format Calculation Results Text File and select the ClusterAnalysis.cluster_count attribute for export.

Particles of each cluster

To export the list of particles belonging to each invidual cluster, also use OVITO's standard file export function. Choose e.g. XYZ as the output file format and select the Cluster property for export. This will produce a text file containing the cluster ID assigned to each particle.

Cluster sizes

Computing and exporting the size of each cluster (i.e. the number of particles) requires a simple Python script. The following example script can be executed using the ScriptingRun Script File menu function after manually applying the Cluster Analysis modifier:

from ovito import *
import numpy

output_filepath = "cluster_sizes.txt"
output = dataset.selected_node.compute()
cluster_sizes = numpy.bincount(output.particle_properties['Cluster'].array)
numpy.savetxt(output_filepath, cluster_sizes)
    

Please copy/paste the above script to a text editor and save it as .py file. Don't forget to adjust the output file path as needed. The script makes use of the bincount() Numpy function to count the number of particles belonging to each cluster. Note that the array returned by this function includes cluster ID 0, which is not assigned by the modifier and therefore typically has size zero. For more information on OVITO's scripting interface, see this page.

It is possible to perform the file export for every frame in a simulation sequence by adding a for-loop to the script:

from ovito import *
import numpy

for frame in range(dataset.anim.last_frame + 1):
    output_filepath = "cluster_sizes.%i.txt" % frame
    output = dataset.selected_node.compute(frame)
    cluster_sizes = numpy.bincount(output.particle_properties['Cluster'].array)
    numpy.savetxt(output_filepath, cluster_sizes)