# Selection of the scaling solution in a cluster coalescence model

Source: [Selection of the scaling solution in a cluster coalescence model](<https://www.sota2.com/research/paper/68fa24952c2a3760193a625e>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:20:15.324Z

Authors: Daniel Kandel

Published: 1998-04-15T08:24:30.000Z

## Abstract

The scaling properties of the cluster size distribution of a system of diffusing clusters is studied in terms of a simple kinetic mean field model. It is shown that a one parameter family of mathematically valid scaling solutions exists. Despite this, the kinetics reaches a unique scaling solution independent of initial conditions. This selected scaling solution is marginally physical; i.e., it is the borderline solution between the unphysical and physical branches of the family of solutions.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9804150>)

[PDF](<https://arxiv.org/pdf/cond-mat/9804150.pdf>)