Directed percolation and the transition to turbulence Hof, Björn ; https://orcid.org/0000-0003-2057-2754 General Physics and Astronomy It may come as a surprise that a phenomenon as ubiquitous and prominent as the transition from laminar to turbulent flow has resisted combined efforts by physicists, engineers and mathematicians, and remained unresolved for almost one and a half centuries. In recent years, various studies have proposed analogies to directed percolation, a well-known universality class in statistical mechanics, which describes a non-equilibrium phase transition from a fluctuating active phase into an absorbing state. It is this unlikely relation between the multiscale, high-dimensional dynamics that signify the transition process in virtually all flows of practical relevance, and the arguably most basic non-equilibrium phase transition, that so far has mainly been the subject of model studies, which I review in this Perspective. Springer Nature 2023 info:eu-repo/semantics/article doc-type:Article Article http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/12165 Hof B. Directed percolation and the transition to turbulence. <i>Nature Reviews Physics</i>. 2023;5:62-72. doi:<a href="https://doi.org/10.1038/s42254-022-00539-y">10.1038/s42254-022-00539-y</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1038/s42254-022-00539-y info:eu-repo/semantics/altIdentifier/e-issn/2522-5820 info:eu-repo/semantics/altIdentifier/wos/000890148700002 info:eu-repo/semantics/closedAccess