Mach Fronts in Random Media with Fractal and Hurst Effects

Junren Ran, Martin Ostoja-Starzewski, Yuriy Povstenko

Research output: Contribution to journalArticlepeer-review


An investigation of transient second sound phenomena due to moving heat sources on planar random media is conducted. The spatial material randomness of the relaxation time is modeled by Cauchy or Dagum random fields allowing for decoupling of fractal and Hurst effects. The Maxwell–Cattaneo model is solved by a second-order central differencing. The resulting stochastic fluctuations of Mach wedges are examined and compared to unperturbed Mach wedges resulting from the heat source traveling in a homogeneous domain. All the examined cases are illustrated by simulation movies linked to this paper.

Original languageEnglish (US)
Article number229
JournalFractal and Fractional
Issue number4
StatePublished - Dec 2021


  • Fractal
  • Hurst effect
  • Mach front
  • Random media
  • Supersonic

ASJC Scopus subject areas

  • Analysis
  • Statistical and Nonlinear Physics
  • Statistics and Probability


Dive into the research topics of 'Mach Fronts in Random Media with Fractal and Hurst Effects'. Together they form a unique fingerprint.

Cite this