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Related papers: How inertia affects autotoxicity-mediated vegetati…

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Reaction-diffusion models describing interactions between vegetation and water reveal the emergence of several types of patterns and travelling wave solutions corresponding to structures observed in real-life. Increasing their accuracy by…

Dynamical Systems · Mathematics 2023-12-20 Paul Carter , Arjen Doelman , Annalisa Iuorio , Frits Veerman

In this work, an extension of the 1D Klausmeier model that accounts for the toxicity compounds is considered and the occurrence of travelling stripes is investigated. Numerical simulations are firstly conducted to capture the qualitative…

Dynamical Systems · Mathematics 2026-04-10 Gabriele Grifò , Annalisa Iuorio , Frits Veerman

Inertia is intrinsic to many living and synthetic active systems, from animals and robotic agents to colloidal swimmers, and it strongly shapes transport. Many such systems employ intermittent restart protocols to regulate exploration.…

Soft Condensed Matter · Physics 2026-02-25 Manish Patel , Amir Shee

Active filament-like systems propelling along their backbone exist across the scales ranging from motor-driven bio-filaments to worms and robotic chains. In macroscopic active filaments such as chain of robots, in contrast to their…

Soft Condensed Matter · Physics 2023-10-04 Mohammad Fazelzadeh , Ehsan Irani , Zahra Mokhtari , Sara Jabbari-Farouji

Species-rich ecosystems often exhibit multiple stable states with distinct species compositions. Yet, the factors determining the likelihood of each state's occurrence remain poorly understood. Here, we characterize and explain the…

Populations and Evolution · Quantitative Biology 2025-11-11 Nitesh Kumar Patro , Washington Taylor , Akshit Goyal

In striking contrast to equilibrium systems, inertia can profoundly alter the structure of active systems. Here, we demonstrate that driven systems can exhibit effective equilibrium-like states with increasing particle inertia, despite…

Soft Condensed Matter · Physics 2023-02-23 Ahmad K. Omar , Katherine Klymko , Trevor GrandPre , Phillip L. Geissler , John F. Brady

Martensites subjected to quasistatic deformation are known to exhibit power law distributed acoustic emission in a broad range of scales, however, the origin of the observed scaling behavior and the mechanism of self-organization towards…

Materials Science · Physics 2025-07-08 Oğuz Umut Salman , Alphonse Finel , Lev Truskinovsky

Consider a massive (inert) particle impinged from above by N Brownian particles that are instantaneously reflected upon collision with the inert particle. The velocity of the inert particle increases due to the influence of an external…

Probability · Mathematics 2022-12-28 Sayan Banerjee , Amarjit Budhiraja , Benjamin Estevez

Self-arrangement of individuals into spatial patterns often accompanies and promotes species diversity in ecological systems. Here, we investigate pattern formation arising from cyclic dominance of three species, operating near a…

Populations and Evolution · Quantitative Biology 2008-08-31 Tobias Reichenbach , Erwin Frey

We investigate the effect of rotational inertia on the collective phenomena of underdamped active systems and show that the increase of the moment of inertia of each particle favors non-equilibrium phase coexistence, known as motility…

Soft Condensed Matter · Physics 2023-07-19 Lorenzo Caprini , Rahul Kumar Gupta , Hartmut Löwen

The motion of self-propelled massive particles through a gaseous medium is dominated by inertial effects. Examples include vibrated granulates, activated complex plasmas and flying insects. However, inertia is usually neglected in standard…

Soft Condensed Matter · Physics 2018-12-05 Christian Scholz , Soudeh Jahanshahi , Anton Ldov , Hartmut Löwen

Vegetation in semi-arid environments self-organizes into striking spatial patterns -- bands, spots, labyrinths, and gaps -- with characteristic wavelengths on the order of tens to hundreds of meters. Existing reaction-diffusion models…

Pattern Formation and Solitons · Physics 2026-04-06 Chad M. Topaz

Although riparian vegetation is present in or along many water courses of the world, its active role resulting from the interaction with flow and sediment processes has only recently become an active field of research. Especially, the role…

Fluid Dynamics · Physics 2014-11-10 Fabian Bärenbold , Benoît Crouzy , Paolo Perona

Patterns of vegetation are a characteristic feature of many semi-arid regions. The limiting resource in these ecosystems is water, which is added to the system through short and intense rainfall events that cause a pulse of biological…

Populations and Evolution · Quantitative Biology 2020-02-17 Lukas Eigentler , Jonathan A. Sherratt

Several theoretical models predict that spatial patterning increases ecosystem resilience. However, these predictions rely on simplifying assumptions, such as assuming isotropic and infinitely large ecosystems, and empirical evidence…

Populations and Evolution · Quantitative Biology 2026-04-06 David Pinto-Ramos , Ricardo Martinez-Garcia

Self-organized spatial patterns of vegetation are frequent in drylands and, because pattern shape correlates with water availability, they have been suggested as important indicators of ecosystem health. However, the mechanisms underlying…

The effects of mechanical generation of turbulent kinetic energy and buoyancy forces on the statistics of air temperature and velocity increments are experimentally investigated at the cross over from production to inertial range scales.…

Fluid Dynamics · Physics 2018-09-19 E. Zorzetto , A. D. Bragg , G. Katul

We consider here the effects of inertia on the instability of a flat liquid film under the effects of capillary and intermolecular forces (van der Waals interaction). Firstly, we perform the linear stability analysis within the long wave…

Fluid Dynamics · Physics 2016-01-20 A. G. González , J. A. Diez , M. Sellier

Increasing evidence suggests that active matter exhibits instances of mixed symmetry that cannot be fully described by either polar or nematic formalism. Here, we introduce a minimal model that integrates self-propulsion into the active…

Soft Condensed Matter · Physics 2025-09-03 Niels de Graaf Sousa , Simon Guldager Andersen , Aleksandra Ardaševa , Amin Doostmohammadi

This thesis focuses on the applications of mathematical tools and concepts brought from nonequilibrium statistical physics to the modeling of ecological problems. The first part provides a short introduction where the theoretical concepts…

Populations and Evolution · Quantitative Biology 2017-01-12 Ricardo Martinez-Garcia
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