| Abstract: |
| Depending on the peeling velocity, the traces formed on the surface of adhesive tape exhibit a variety of patterns. At an intermediate peeling velocity, a random fractal pattern resembling a Sierpi\`{n}ski gasket is observed. Several models have been proposed to explain this pattern formation. In this talk, we introduce our model, formulated as a reaction-diffusion system. The model is constructed by describing the tape-peeling dynamics as an excitable oscillatory system and incorporating spatial interactions arising from viscoelasticity together with a stochastic term. It has the form of a Li\`{e}nard system and, under an appropriate transformation, can be related to a Bonhoeffer--van der Pol type reaction-diffusion system, which is known to exhibit Sierpi\`{n}ski-gasket patterns. We will also present results on the dynamical scaling properties of this model. |
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