Morphodynamics Research Group
Research keywords:
· shape evolution
· fragmentation
· mathematical modeling
· shape descriptors of particles
· equilibrium positions
Horizon Europe keywords:
· Advanced materials
· Preservation and restoration of biodiversity and ecosystems
· Next generation computing and data technologies
· Renewable energy
Introduction of the Research Group
Our main focus is mathematical and physical models of shape evolution with emphasis on geophysical and planetological applications, such as sand grains, pebbles, ventifacts, rock profiles, and asteroids. Our research group operates at the Budapest University of Technology and Economics and it is supported by a 5-year (2022-2027), a renewable special grant from the Eötvös Loránd Research Network. Our goal is to collect, develop and apply existing mathematical models and test the models versus existing and self-produced experimental and field data. Ultimately we would like to gain insight into geophysical history based on current size and shape measurements.
Achievements
- Introduction of a new classification system for the shape of natural and artificial particles.- New geometrical and numerical models for fragmentation and shape evolution in 2D and 3D.
- Experimental, numerical, and analytical investigation of cracking patterns. Application of the theory of convex mosaics to the fracturing process.
- Revealing the universal characteristics of particle shape evolution in low-energy environments.
- Applying the geometric models of shape evolution to natural processes (such as the explanation of the elongated shape of the first interstellar asteroid or the shape of ooid particles)
Publications
- Domokos Gábor, Lángi Zsolt: On Some Average Properties of Convex Mosaics EXPERIMENTAL MATHEMATICS IN PRESS , 11 p. (2022)- Domokos Gábor, Jerolmack Douglas J., Kun Ferenc, Török János: Plato’s cube and the natural geometry of fragmentation PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA 117 pp. 18178-18185. , 8 p. (2020)
- Novák-Szabó Tímea, Sipos András A, Shaw Sam, Bertoni Duccio, Pozzebon Alessandro, Grottoli Edoardo, Sarti Giovanni, Ciavola Paolo, Domokos Gábor, Jerolmack Douglas J:Universal characteristics of particle shape evolution by bed-load chipping SCIENCE ADVANCES 4 : 3 Paper: eaao4946 , 11 p. (2018)
- Domokos Gábor, Gibbons Gary W.: The Geometry of Abrasion In: Ambrus, Gergely; Bárány, Imre; Böröczky, Károly J; Fejes, Tóth Gábor; Pach, János (szerk.) New Trends in Intuitive Geometry
New York (NY), Amerikai Egyesült Államok, Berlin, Németország, Heidelberg, Németország : Springer-Verlag (2018) 458 p. pp. 125-153. Paper: Chapter 6 , 29 p.
- Domokos G., Sipos A. A., Szabó M. Gy., Várkonyi P. L.: Explaining the Elongated Shape of 'Oumuamua by the Eikonal Abrasion Model RESEARCH NOTES OF THE AMERICAN ASTRONOMICAL SOCIETY 1 : 1 Paper: 50 , 3 p. (2017)
Awards
- Gábor Dénes Award 2019 to Gábor Domokos - Famelab 2020 to Krisztina RegősJournals
- Discrete Mathematics- Earth Surface Dynamics
- Experimental Mathematics
- International Journal of Solids and Structures
- Journal of the Mechanics and Physics of Solids
- Physical Review E
- Physical Review Letters
- PNAS
- Science Advances
- Scientific Reports
Projects
- Mechanical equilibrium and abrasion: a geometrical approach, 2012-2017, K104601, NKFIH- The geometry of equilibrium and the evolution of shape, 2017-2021, K119245, NKFIH
- Mechanical and geometrical models for shape evolution, 2020-2024, K134199, NKFIH