Universality in the tape-peeling trace
Keisuke Taga, Akihiko Toda, Yoshihiro Yamazaki

TL;DR
This paper demonstrates that the pattern formation in tape-peeling traces belongs to the 1-dimensional directed percolation universality class, supported by both a mathematical model and experimental data re-analysis.
Contribution
It establishes the universality class of tape-peeling patterns, connecting experimental observations and a mathematical model within the 1D directed percolation framework.
Findings
The tape-peeling model belongs to the 1D directed percolation universality class.
Experimental data re-analysis supports the universality classification.
Patterns in tape-peeling traces exhibit critical behavior consistent with directed percolation.
Abstract
Spatiotemporal patterns, which are of interest in statistical physics and nonlinear dynamics, form on the tape-peeling trace. Recently, we have proposed a mathematical model to describe these pattern formation in the tape-peeling trace. In this paper, we further investigate the tape-peeling model from the perspective of its universality class. We confirm that our model belongs to the 1-dimensional directed percolation universality class. Furthermore, the experimental results from a previous study are re-analyzed, and it is suggested that the tape-peeling trace can also be classified within the 1-dimensional directed percolation universality class.
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Taxonomy
TopicsManufacturing Process and Optimization
