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- Klaus Kroy, Gerd Sauermann, Hans J Herrmann
- Physical review. E, Statistical, nonlinear, and…
- 2002

We present a minimal model for the formation and migration of aeolian sand dunes in unidirectional winds. It combines a perturbative description of the turbulent wind velocity field above the dune with a continuum saltation model that allows for saturation transients in the sand flux. The latter are shown to provide a characteristic length scale, called… (More)

- Christian M. Schneider, André A. Moreira, José S. Andrade, Shlomo Havlin, Hans J. Herrmann
- Proceedings of the National Academy of Sciences…
- 2011

Terrorist attacks on transportation networks have traumatized modern societies. With a single blast, it has become possible to paralyze airline traffic, electric power supply, ground transportation or Internet communication. How and at which cost can one restructure the network such that it will become more robust against a malicious attack? We introduce a… (More)

- Orencio Durán, Hans J Herrmann
- Physical review letters
- 2006

Vegetation is the most common and most reliable stabilizer of loose soil or sand. This ancient technique is for the first time cast into a set of equations of motion describing the competition between aeolian sand transport and vegetation growth. Our set of equations is then applied to study quantitatively the transition between barchans and parabolic dunes… (More)

- Christian M. Schneider, Nuri Yazdani, Nuno A. M. Araújo, Shlomo Havlin, Hans J. Herrmann
- Scientific reports
- 2013

Natural and technological interdependent systems have been shown to be highly vulnerable due to cascading failures and an abrupt collapse of global connectivity under initial failure. Mitigating the risk by partial disconnection endangers their functionality. Here we propose a systematic strategy of selecting a minimum number of autonomous nodes that… (More)

We derive a phenomenological continuum saltation model for aeolian sand transport that can serve as an efficient tool for geomorphological applications. The coupled differential equations for the average density and velocity of sand in the saltation layer reproduce both known equilibrium relations for the sand flux and the time evolution of the sand flux as… (More)

Transverse dunes appear in regions of mainly unidirectional wind and high sand availability. A dune model is extended to two dimensional calculation of the shear stress. It is applied to simulate dynamics and morphology of transverse dunes which seem to reach lateral invariance and do not stop growing. Hence, simulations of two dimensional dune fields have… (More)

- G Sauermann, K Kroy, H J Herrmann
- Physical review. E, Statistical, nonlinear, and…
- 2001

We derive a phenomenological continuum saltation model for aeolian sand transport that can serve as an efficient tool for geomorphological applications. The coupled differential equations for the average density and velocity of sand in the saltation layer reproduce both the known equilibrium relations for the sand flux and the time evolution of the sand… (More)

- O Durán, V Schwämmle, H Herrmann
- Physical review. E, Statistical, nonlinear, and…
- 2005

Beautiful dune patterns can be found in deserts and along coasts due to the instability of a plain sheet of sand under the action of the wind. Barchan dunes are highly mobile aeolian dunes found in areas of low sand availability and unidirectional wind fields. Up to now modelization mainly focused on single dunes or dune patterns without regarding the… (More)

- José S Andrade, Hans J Herrmann, Roberto F S Andrade, Luciano R da Silva
- Physical review letters
- 2005

We introduce a new family of networks, the Apollonian networks, that are simultaneously scale-free, small-world, Euclidean, space filling, and with matching graphs. These networks describe force chains in polydisperse granular packings and could also be applied to the geometry of fully fragmented porous media, hierarchical road systems, and area-covering… (More)

- Pedro G Lind, Marta C González, Hans J Herrmann
- Physical review. E, Statistical, nonlinear, and…
- 2005

We investigate the clustering coefficient in bipartite networks where cycles of size three are absent and therefore the standard definition of clustering coefficient cannot be used. Instead, we use another coefficient given by the fraction of cycles with size four, showing that both coefficients yield the same clustering properties. The new coefficient is… (More)