# Lattice Kinetics of Diffusion-Limited Coalescence and Annihilation with Sources

Source: [Lattice Kinetics of Diffusion-Limited Coalescence and Annihilation with Sources](<https://www.sota2.com/research/paper/68fa25ac2c2a3760193b2b21>)

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

Data updated: 2025-10-24T10:53:25.022Z

Authors: E. Abad, T. Masser, D. ben-Avraham

Published: 2002-01-24T17:05:52.000Z

## Abstract

We study the 1D kinetics of diffusion-limited coalescence and annihilation with back reactions and different kinds of particle input. By considering the changes in occupation and parity of a given interval, we derive sets of hierarchical equations from which exact expressions for the lattice coverage and the particle concentration can be obtained. We compare the mean-field approximation and the continuum approximation to the exact solutions and we discuss their regime of validity.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0201446>)

[PDF](<https://arxiv.org/pdf/cond-mat/0201446.pdf>)