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Coastal erosion describes the displacement of land caused by destructive sea waves, currents or tides. Major efforts have been made to mitigate these effects using groins, breakwaters and various other structures. We try to address this…

Optimization and Control · Mathematics 2022-09-16 Luka Schlegel , Volker Schulz

Soil salinization is a major cause of soil degradation and hampers plant growth. For soils saturated with saline water, the evaporation of water induces accumulation of salt near the top of the soil. The remaining liquid gets an…

The response of dynamical systems to varying conditions and disturbances is a fundamental aspect of their analysis. In spatially extended systems, particularly in pattern-forming systems, there are many possible responses, including…

Pattern Formation and Solitons · Physics 2017-03-02 Yuval R. Zelnik , Ehud Meron , Golan Bel

The temporal evolution of a water-sand interface driven by gravity is experimentally investigated. By means of a Fourier analysis of the evolving interface the growth rates are determined for the different modes appearing in the developing…

patt-sol · Physics 2009-10-30 A. Lange , M. Schröter , M. A. Scherer , A. Engel , I. Rehberg

Landscapes evolve toward surfaces with complex networks of channels and ridges in response to climatic and tectonic forcing. Here we analyze variational principles giving rise to minimalist models of landscape evolution as a system of…

Geophysics · Physics 2021-01-11 Milad Hooshyar , Shashank Kumar Anand , Amilcare Porporato

The vertical thickness of debris discs is often used as a measure of these systems' dynamical excitation and as clues to the presence of hidden massive perturbers such as planetary embryos. However, this argument could be flawed because the…

Earth and Planetary Astrophysics · Physics 2015-05-13 Philippe Thebault

The magnitude and variability of Earth's biodiversity have puzzled scientists ever since paleontologic fossil databases became available. We identify and study a model of interdependent species where both endogenous and exogenous impacts…

Populations and Evolution · Quantitative Biology 2014-10-10 Frank Stollmeier , Theo Geisel , Jan Nagler

Regular vegetation patterns in semiarid ecosystems are believed to arise from the interplay between long-range competition and facilitation processes acting at smaller distances. We show that, under rather general conditions, long-range…

Populations and Evolution · Quantitative Biology 2014-07-24 Ricardo Martinez-Garcia , Justin M. Calabrese , Emilio Hernandez-Garcia , Cristobal Lopez

The physics of swash i.e. a layer of water that washes up on the beach after an incoming wave has broken is complicated and intriguing. It includes perplexed hydrodynamic and sediment transport events. In our paper we address to the…

Chemical Physics · Physics 2014-02-25 Ed. Bormashenko , A. Musin , R. Grynuov

The streaming instability is a leading mechanism for concentrating solids and initiating planetesimal formation in protoplanetary disks. Although numerous studies have explored its linear growth, nonlinear evolution, and implications for…

Many sedimentary rocks are formed by migration of sand ripples. Thin layers of coarse and fine sand are present in these rocks, and understanding how layers in sandstone are created has been a longstanding question. Here, we propose a…

Statistical Mechanics · Physics 2007-05-23 Hernan A. Makse

We propose a model equation for the dynamics of tree density in mesic savannas. It considers long-range competition among trees and the effect of fire acting as a local facilitation mechanism. Despite short-range facilitation is taken to…

Pattern Formation and Solitons · Physics 2014-07-24 Ricardo Martinez-Garcia , Justin M. Calabrese , Cristobal Lopez

Recent work on gravitational geons is extended to examine the stability properties of gravitational and electromagnetic geon constructs. All types of geons must possess the property of regularity, self-consistency and quasi-stability on a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 G. P. Perry , F. I. Cooperstock

The study of vegetation fluctuations gives valuable information toward effective land use and development. We consider this problem for the East African region based on the Normalized Difference Vegetation Index (NDVI) series from satellite…

Applications · Statistics 2014-05-06 Nicolle Clements , Sanat K. Sarkar , Zhigen Zhao , Dong-Yun Kim

Random walks on multidimensional nonlinear landscapes are of interest in many areas of science and engineering. In particular, properties of adaptive trajectories on fitness landscapes determine population fates and thus play a central role…

Populations and Evolution · Quantitative Biology 2014-10-08 Michael Manhart , Alexandre V. Morozov

Planetary migration provides a theoretical basis for the observed diversity of exoplanetary systems. We demonstrate that dust settling - an inescapable feature of disk evolution - gives even more rapid type I migration by up to a factor of…

Earth and Planetary Astrophysics · Physics 2015-06-03 Yasuhiro Hasegawa , Ralph E. Pudritz

Species accumulation curves (SAC), i.e. the relationship between species richness and the number of sampling units in a given community, can be used to describe diversity patterns while accounting for the well-known scale-dependence of…

Populations and Evolution · Quantitative Biology 2018-02-27 Niv DeMalach , Hugo Saiz , Eli Zaady , Fernando T. Maestre

Nonsuspended sediment transport (NST) refers to the sediment transport regime in which the flow turbulence is unable to support the weight of transported grains. It occurs in fluvial environments (i.e., driven by a stream of liquid) and in…

Geophysics · Physics 2021-05-25 Thomas Pähtz , Yonghui Liu , Yuezhang Xia , Peng Hu , Zhiguo He , Katharina Tholen

Biological growth is often driven by mechanical cues, such as changes in external pressure or tensile loading. Moreover, it is well known that many living tissues actively maintain a preferred level of mechanical internal stress, called the…

Biological Physics · Physics 2018-04-24 Alexander Erlich , Derek E. Moulton , Alain Goriely

We present a sandpile model, in which the instability of a site is determined also by the variables in a neighbourhood. This is a modification of the Abelian Sandpile Model, in which abelianity is preserved: it shares several mathematical…

Statistical Mechanics · Physics 2012-07-25 Andrea Sportiello