Relativistic stable processes in quasiballistic heat conduction in semiconductors

Prakash Chakraborty, Bjorn Vermeersch, Ali Shakouri, Samy Tindel

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


In this article, we show how relativistic α-stable processes can be used to explain quasiballistic heat conduction in semiconductors. This is a method that can fit experimental results of ultrafast laser heating in alloys. It also provides a connection to a rich literature on the Feynman-Kac formalism and random processes that transition from a stable Lévy process on short time and length scales to the Brownian motion at larger scales. This transition was captured by a heuristic truncated Lévy distribution in earlier papers. The rigorous Feynman-Kac approach is used to derive sharp bounds for the transition kernel. Future directions are briefly discussed.

Original languageEnglish (US)
Article number042110
JournalPhysical Review E
Issue number4
StatePublished - Apr 2020

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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