Comment on ``Dynamic Scaling in the Spatial Distribution of Persistent Sites''

TL;DR

This paper refutes a recent claim that the spatial distribution of unvisited sites in a one-dimensional annihilation process involves a new length scale and initial concentration dependence, demonstrating instead that it follows a diffusive length scale.

Contribution

The authors provide numerical evidence that the spatial distribution in the process is governed by a diffusive length scale, contradicting previous claims of a new scale and initial condition dependence.

Findings

Distribution follows diffusive length scale

Refutes previous claim of a new length scale

Shows initial concentration does not affect the length scale

Abstract

In a recent paper (cond-mat/9901130), the spatial distribution of unvisited sites in the one-dimensional single-species annihilation process was investigated. It was claimed that this distribution is characterized by a new length scale, and that the corresponding dynamical exponent depends upon the initial concentration. We show numerically that this assertion is erroneous. Regardless of the initial concentration, this spatial distribution is characterized by the diffusive length scale.