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A Discrete Time Evolution Model for Fracture Networks by Domokos, Gábor; Regős, Krisztina is a scholarly article available to read on EtoBox.

What is A Discrete Time Evolution Model for Fracture Networks about?

We examine geophysical crack patterns using the mean field theory of convex mosaics. We assign the pair $(\bar n^*,\bar v^*)$ of average corner degrees to each crack pattern and we define two local, random evolutionary steps $R_0$ and $R_1$, corresponding to secondary fracture and rearrangement of cracks, respectively. Random sequences of these steps result in trajectories on the $(\bar n^*,\bar v^*)$ plane. We prove the existence of limit points for several types of trajectories. Also, we prove that cell density $\rho = \bar v^*/\bar n^*$ increases monotonically under any admissible trajectory.

Author

Domokos, Gábor; Regős, Krisztina

Published

2022

Language

EN