# Subdiffusion-limited single species reactions

Source: [Subdiffusion-limited single species reactions](<https://www.sota2.com/research/paper/68fa1e3d7a2b558e29321147>)

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

Data updated: 2025-10-23T14:34:19.135Z

Authors: S. B. Yuste, Katja Lindenberg

Published: 2001-11-14T17:05:42.000Z

## Abstract

We consider the coagulation dynamics A+A -\> A and the annihilation dynamics A+A -\> 0 for particles moving subdiffusively in one dimension, both on a lattice and in a continuum. The analysis combines the "anomalous kinetics" and "anomalous diffusion" problems, each of which leads to interesting dynamics separately and to even more interesting dynamics in combination. We calculate both short-time and long-time concentrations, and compare and contrast the continuous and discrete cases. Our analysis is based on the fractional diffusion equation and its discrete analog.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0111261>)

[PDF](<https://arxiv.org/pdf/cond-mat/0111261.pdf>)