Fisher Equation for a Decaying Brane

TL;DR

This paper models the inhomogeneous decay of an unstable D-brane using a reaction-diffusion equation similar to Fisher's equation, linking string theory decay processes to mathematical models of natural phenomena.

Contribution

It introduces a novel application of Fisher's reaction-diffusion equation to describe D-brane decay in string theory, providing a new analytical framework.

Findings

Derivation of a reaction-diffusion equation for D-brane decay

Identification of inhomogeneous decay patterns

Connection between string theory and natural phenomena models

Abstract

We consider the inhomogeneous decay of an unstable D-brane. The dynamical equation that describes this process (in light-cone time) is a variant of the non-linear reaction-diffusion equation that first made its appearance in the pioneering work of (Luther and) Fisher and appears in a variety of natural phenomena.