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In this paper, mechanical models with Newton's Law of impacts are studied. One of the most interesting properties in some of these models is chattering. This phenomenon is understood as the appearance of an infinite number of impacts…

Dynamical Systems · Mathematics 2016-01-06 M. Akhmet , S. Çağ

We use a simple, collision-based, discrete, random abrasion model to compute the profiles for the stoss faces in a bedrock abrasion process. The model is the discrete equivalent of the generalized version of a classical, collision based…

Geophysics · Physics 2018-02-20 Andras A. Sipos , Gabor Domokos , Andrew Wilson , Niels Hovius

A large sample of planet-planet scattering events for three planet systems with different orbital separations and masses is analyzed with a multiple regression model. The dependence of the time for the onset of instability on the masses of…

Earth and Planetary Astrophysics · Physics 2024-11-20 Francesco Marzari

Using classical molecular dynamics simulations we examine the formation of craters during 0.4 - 100 keV Xe bombardment of Au. Our simulation results, and comparison with experiments and simulations of other groups, are used to examine to…

Materials Science · Physics 2007-05-23 E. M. Bringa , K. Nordlund , J. Keinonen

Corrosion presents a major challenge to the longevity and reliability of products across various industries, particularly in the aerospace sector. Corrosion arises from chemical processes occurring on an atomistic scale, which lead to…

The Teukolsky equation describing scattering from Kerr black holes captures a few important effects in the process of binary mergers, such as tidal deformations and the decay of ringdown modes, thereby raising interest in the structure of…

High Energy Physics - Theory · Physics 2024-11-18 Uri Kol

Impact craters are formed due to continuous impacts on the surface of planetary bodies. Most recent deep learning-based crater detection methods treat craters as circular shapes, and less attention is paid to extracting the exact shapes of…

Image and Video Processing · Electrical Eng. & Systems 2022-11-04 Atal Tewari , Vikrant Jain , Nitin Khanna

Everyday thousands of meteoroids enter the Earth's atmosphere. The vast majority burn up harmlessly during the descent, but the larger objects survive, occasionally experiencing intense fragmentation events, and reach the ground. These…

Earth and Planetary Astrophysics · Physics 2021-06-01 Simone Limonta , Mirko Trisolini , Stefan Frey , Camilla Colombo

The Moon is generally thought to have formed from the debris ejected by the impact of a planet-sized object with the proto-Earth towards the end of planetary accretion. Modeling of the impact process predicts that the lunar material was…

Earth and Planetary Astrophysics · Physics 2016-04-19 Kaveh Pahlevan , Alessandro Morbidelli

The concept of cracking refers to the tendency of a fluid distribution to "split'', once it abandons the equilibrium. In this manuscript we develop a general formalism to describe the occurrence of cracking within a dissipative fluid…

General Relativity and Quantum Cosmology · Physics 2024-04-09 L. Herrera , A. Di Prisco

A framework for the theoretical and analytical understanding of the impact crater-size frequency distribution is developed and applied to observed data from Mars and Earth. The analitical model derived gives the crater population,N, as a…

Earth and Planetary Astrophysics · Physics 2013-02-11 William Bruckman , Abraham Ruiz , Elio Ramos

We formulate a model that describes the escape dynamics in a leaky chaotic system in which the size of the leak depends on the number of the in-falling particles. The basic motivation of this work is the astrophysical process which…

Earth and Planetary Astrophysics · Physics 2017-08-02 Tamás Kovács , József Vanyó

Impact craters are the primary geomorphic features on the surfaces of celestial bodies such as the Moon, and their formation has significant implications for the evolutionary history of the celestial body. The study of the impact crater…

Earth and Planetary Astrophysics · Physics 2024-03-08 Huacheng Li , Zongyu Yue , Nan Zhang , Jinhai Zhang , Zhongzheng Miao

The dynamical interaction of minor bodies (such as comets or asteroids) with planets plays an essential role in the planetary system's architecture and evolution. As a result of these interactions, structures like the Kuiper belt and the…

Earth and Planetary Astrophysics · Physics 2023-07-12 Santiago Torres , Smadar Naoz , Gongjie Li , Sanaea C. Rose

We study a 2D quasi-static discrete {\it crack} anti-plane model of a tectonic plate with long range elastic forces and quenched disorder. The plate is driven at its border and the load is transfered to all elements through elastic forces.…

Condensed Matter · Physics 2020-01-29 Didier Sornette , Christian Vanneste

Numerical models are starting to be used for determining the future behaviour of seismic faults and fault networks. Their final goal would be to forecast future large earthquakes. In order to use them for this task, it is necessary to…

Combining high-speed photography with laser profilometry, we study the dynamics and the morphology of liquid-drop impact cratering in wet granular media---a ubiquitous phenomenon relevant to many important geological, agricultural, and…

Soft Condensed Matter · Physics 2015-10-29 Qianyun Zhang , Ming Gao , Runchen Zhao , Xiang Cheng

We present a new scaling law to predict the loss of atmosphere from planetary collisions for any speed, angle, impactor mass, target mass, and body compositions, in the regime of giant impacts onto broadly terrestrial planets with…

Earth and Planetary Astrophysics · Physics 2020-10-02 Jacob A. Kegerreis , Vincent R. Eke , David C. Catling , Richard J. Massey , Luis F. A. Teodoro , Kevin J. Zahnle

The steady state shock formation in processes like nonconserving asymmetric simple exclusion processes in varied situations is shown to be a nonequilibrium critical phenomenon. The diverging length scales and the quantitative description of…

Statistical Mechanics · Physics 2009-11-10 Sutapa Mukherji , Somendra M. Bhattacharjee

During the ion bombardment of targets containing multiple component species, highly-ordered arrays of nanostructures are sometimes observed. Models incorporating coupled partial differential equations, describing both morphological and…

Mathematical Physics · Physics 2015-06-15 Scott A. Norris , Juha Samela , Matias Vestberg , Kai Nordlund , Michael J. Aziz