TL;DR
This paper introduces a lattice model for geological landscape formation, revealing that resulting non-Gaussian surfaces exhibit a scale-dependent Hurst exponent aligning with experimental observations.
Contribution
It presents a new lattice model for landscape formation and demonstrates the scale-dependent Hurst exponent in non-Gaussian surfaces.
Findings
Non-Gaussian surfaces characterized by a scale-dependent Hurst exponent.
Hurst exponent varies from 0.7 to 1, matching experimental data.
Numerical analysis supports the proposed landscape formation scenario.
Abstract
A simple scenario of the formation of geological landscapes is suggested and the respective lattice model is derived. Numerical analysis shows that the arising non-Gaussian surfaces are characterized by the scale-dependent Hurst exponent, which varies from 0.7 to 1, in agreement with experimental data.
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