Fractal Scales in a Schwarzschild Atmosphere

TL;DR

This paper investigates the potential fractal behavior in the classical diffusive transport within an extended Schwarzschild atmosphere, building on recent modifications to the Vaidya metric that include radiation and string fluids.

Contribution

It explores the classical diffusive transport at scales where fractal behavior could be observed, extending previous models of Schwarzschild atmospheres with additional fluid components.

Findings

Classical diffusion may exhibit fractal characteristics at certain scales.

Extended Schwarzschild models incorporate radiation and string fluids.

Potential identification of fractal patterns in diffusive transport.

Abstract

Recently, Glass and Krisch have extended the Vaidya radiating metric to include both a radiation fluid and a string fluid [1999 Class. Quantum Grav. vol 16, 1175]. Mass diffusion in the extended Schwarzschild atmosphere was studied. The continuous solutions of classical diffusive transport are believed to describe the envelope of underlying fractal behavior. In this work we examine the classical picture at scales on which fractal behavior might be evident.