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Arabidopsis roots show oscillatory growth patterns on homogeneous agar surfaces, whereas other plants, such as maize, do not. Although several explanations have been proposed, a simple and general model that makes testable predictions…

Biological Physics · Physics 2026-05-01 Riz Fernando Noronha , Kunihiko Kaneko , Koichi Fujimoto

Naturally-occurring granular materials often consist of angular particles whose shape and frictional characteristics may have important implications on macroscopic flow rheology. In this paper, we provide a theoretical account for the…

Statistical Mechanics · Physics 2015-06-02 Charles K. C. Lieou , Ahmed E. Elbanna , J. S. Langer , J. M. Carlson

In this paper we undertake a multiscale analysis of nutrient uptake by plant root hairs, considering different scale relations between the radius of hairs and the distance between them. We combine the method of formal asymptotic expansions…

Analysis of PDEs · Mathematics 2021-05-11 John R. King , Jakub Köry , Mariya Ptashnyk

A rooted phylogenetic network is a directed acyclic graph with a single root, whose sinks correspond to a set of species. As such networks are useful for representing the evolution of species that have undergone reticulate evolution, there…

Populations and Evolution · Quantitative Biology 2022-06-28 Vincent Moulton , Taoyang Wu

Grain boundaries affect properties of polycrystalline materials. The influence of a boundary is largely determined by its energy. Grain boundary energy is often portrayed as a function of macroscopic boundary parameters representing grain…

Materials Science · Physics 2025-01-07 Adam Morawiec

Transport networks are crucial to the functioning of natural systems and technological infrastructures. For flow networks in many scenarios, such as rivers or blood vessels, acyclic networks (i.e., trees) are optimal structures when…

Adaptation and Self-Organizing Systems · Physics 2019-12-05 Erik Andreas Martens , Konstantin Klemm

The scaling properties of the roughness of surfaces grown by two different processes randomly alternating in time, are addressed. The duration of each application of the two primary processes is assumed to be independently drawn from given…

Statistical Mechanics · Physics 2009-11-07 Subhadip Raychaudhuri , Yonathan Shapir

Materials containing a high proportion of grain boundaries offer significant potential for the development of radiation-resistent structural materials. However, a proper understanding of the connection between the radiation-induced…

Materials Science · Physics 2018-07-04 Yichao Zhu , Jing Luo , Xu Guo , Yang Xiang , Stephen Jonathan Chapman

We investigate the quasi-static mechanical response of soils under cyclic loading using a discrete model of randomly generated convex polygons. This response exhibits a sequence of regimes, each one characterized by a linear accumulation of…

Condensed Matter · Physics 2007-05-23 F. Alonso-Marroquin , H. J. Herrmann

Plant-soil feedback is recognized as a causal mechanism for the emergence of vegetation patterns of the same species especially when water is not a limiting resource (e.g. humid environments). Nevertheless, in the field, plants rarely grow…

Populations and Evolution · Quantitative Biology 2026-04-10 Addolorata Marasco , Francesco Giannino , Annalisa Iuorio

The dynamics of grain ejection consecutive to a sphere impacting a granular material is investigated experimentally and the variations of the characteristics of grain ejection with the control parameters are quantitatively studied. The time…

Soft Condensed Matter · Physics 2015-05-13 Stéphanie Deboeuf , Philippe Gondret , Marc Rabaud

The displacement of a fluid by another less viscous one in a quasi-two dimensional geometry typically leads to complex fingering patterns. In an isotropic system, dense-branching growth arises, which is characterized by repeated…

Fluid Dynamics · Physics 2021-01-19 Qing Zhang , Amin Amooie , Martin Z. Bazant , Irmgard Bischofberger

Most engineered pilings require substantially more force to be driven into the ground than they can resist during extraction. This requires relatively heavy equipment for insertion, which is problematic for anchoring in hard-to-access…

Understanding the causes and effects of spatial vegetation patterns is a fundamental problem in ecology, especially because these can be used as early predictors of catastrophic shifts such as desertification processes. Empirical studies of…

Statistical Mechanics · Physics 2020-06-19 Paula Villa Martín , Virginia Domínguez-García , Miguel A. Muñoz

Turgor is the driving force of plant growth, making possible for roots to overcome soil resistance or for stems to counteract gravity. Maintaining a constant growth rate while avoiding the cell content dilution, which would progressively…

Subcellular Processes · Quantitative Biology 2024-07-04 Wei-Yuan Kong , Antonio Mosciatti Jofré , Manon Quiros , Marie-Béatrice Bogeat-Triboulot , Evelyne Kolb , Etienne Couturier

Grain boundary roughness can affect electronic and mechanical properties of two-dimensional materials. This roughness depends crucially on the growth process by which the two-dimensional material is formed. To investigate the key mechanisms…

Materials Science · Physics 2022-04-06 Fabio D. A. Aarão Reis , Bastien Marguet , Olivier Pierre-Louis

We revisit the problem of the stress distribution in a frictional sandpile under gravity, equipped with a new numerical model of granular assemblies with both normal and tangential (frictional) inter-granular forces. Numerical simulations…

Disordered Systems and Neural Networks · Physics 2016-11-30 H. George E. Hentschel , Prabhat K. Jaiswal , Chandana Mondal , Itamar Procaccia , Jacques Zylberg

Patches of vegetation consist of dense clusters of shrubs, grass, or trees, often found to be circular characteristic size, defined by the properties of the vegetation and terrain. Therefore, vegetation patches can be interpreted as…

Pattern Formation and Solitons · Physics 2017-11-29 Mustapha Tlidi , Ignacio Bordeu , Marcel G. Clerc , Daniel Escaff

When dense granular systems are exposed to external forcing, they evolve on the time scale that is typically related to the externally imposed one (shear or compression rate, for example). This evolution could be characterized by observing…

Soft Condensed Matter · Physics 2017-08-02 Lou Kondic , Miroslav Kramar , Lenka Kovalcinova , Konstantin Mischaikow

Many processes in eukaryotic cells, including cell motility, rely on the growth of branched actin networks from surfaces. Despite its central role the mechano-chemical coupling mechanisms which guide the growth process are poorly…

Soft Condensed Matter · Physics 2015-06-23 Karin John , Denis Caillerie , Chaouqi Misbah