Particle Distributions in Nucleation Lattice Models: A Matrix Approach.

Research output: Contribution to journalArticleResearchpeer-review


In this paper we use a matrix approach to investigate the distribution of particles in nucleation coalescence models with discrete lattices, both in the irreversible coagulation case and in the reversible one. In the irreversible case
(A + A → A), the evolution of the particle distribution is described by means of a
simple recursive procedure. In two particular cases the model is analytically solvable: with high density and particles that always fuse into one, and in the case of constant density. In the reversible case (A + A A) offspring production is allowed, and the system can reach a stationary distribution, which is jointly calculated with the equilibrium density. The particular case, in which meeting particles react with probability one, admits an exact solution.
Original languageEnglish
Pages (from-to)302-312
JournalNonlinear Dynamics and Systems Theory
Issue number2
Publication statusPublished - 2019


Dive into the research topics of 'Particle Distributions in Nucleation Lattice Models: A Matrix Approach.'. Together they form a unique fingerprint.

Cite this