# Reaction-Diffusion models: From Particle Systems to SDE's

## TL;DR

This paper constructs particle systems that, under scaling, converge to solutions of non-linear reaction-diffusion stochastic differential equations, bridging microscopic particle models and macroscopic stochastic PDEs.

## Contribution

It introduces a novel particle system framework that converges to non-linear reaction-diffusion SDEs, providing a new link between particle models and stochastic PDEs.

## Key findings

- Particle systems converge to reaction-diffusion SDE solutions
- Scaling limits establish a rigorous connection between microscopic and macroscopic models
- Framework applicable to various reaction-diffusion processes

## Abstract

In this article we present a construction of a family particle systems that converge after scaling to the solution a non-linear SDE of Reaction-Diffusion type.