Kazumasa A. Takeuchi

TL;DR: It is revealed that the distribution and the two-point correlation of the interface fluctuations are universal ones governed by the largest eigenvalue of random matrices, providing quantitative experimental evidence of the universality prescribing detailed information of scale-invariant fluctuations.

TL;DR: This work investigates growing interfaces of liquid-crystal turbulence and finds not only universal scaling, but universal distributions of interface positions, which obey the largest-eigenvalue distributions of random matrices and depend on whether the interface is curved or flat, albeit universal in each case.

TL;DR: This work experimentally investigates the critical behavior of a phase transition between two topologically different turbulent states of electrohydrodynamic convection in nematic liquid crystals, providing the first clear and comprehensive experimental evidence of an absorbing phase transition in this prominent nonequilibrium universality class.

TL;DR: In this article, the authors pay debts to heroic predecessors, highlight additional, experimentally relevant aspects of the recently solved 1+1 KPZ problem, use an expanding substrates formalism to gain access to the 3D radial KPZ equation and, lastly, examine extremal paths on disordered hierarchical lattices, set their gaze upon the fate of $$d=\infty $$ ≥ 0.

TL;DR: Takeuchi et al. as discussed by the authors provide a comprehensive report on scale-invariant fluctuations of growing interfaces in liquid-crystal turbulence, for which they recently found evidence that they be- long to the Kardar-Parisi-Zhang (KPZ) universality class for 1 + 1 dimensions.