5 papers
Why dimensional analysis works: general classification of self-similarity based on scale-invariance
Hirokazu Maruoka
In this work, we formulate self-similarity from the perspective of scale invariance, where a self-similar form is understood as the transformation of a function into a form invaria…
Prigogine's temporalization of physics: two agnostic attitudes of physicists
Hirokazu Maruoka
In this paper, I aim to clarify the unconscious ideologies and attitudes held by physicists through Prigogine's work. Prigogine was an outstanding chemist and physicist who made si…
Early-stage impact dynamics in dense suspensions of millimeter-sized particles
Hirokazu Maruoka, Hisao Hayakawa
This study investigates the phenomenon of the early-stage dynamics of impact-induced hardening in dense suspensions, where materials undergo solidification upon impact. While Stoke…
Data-driven discovery of self-similarity using neural networks
Ryota Watanabe, Takanori Ishii, Yuji Hirono +1
Finding self-similarity is a key step for understanding the governing law behind complex physical phenomena. Traditional methods for identifying self-similarity often rely on speci…
Intermediate asymptotics on dynamical impact of solid sphere on mili-textured surface
Hirokazu Maruoka
Complex phenomena incorporating several physical properties are abundant while they are occasionally revealing the variation of power-law behavior depending on the scale. In this p…