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We study the evolution of an initially random distribution of particles on a square lattice, under certain rules for `growing' and `culling' of particles. In one version we allow the particles to move laterally along the surface (mobile…

Soft Condensed Matter · Physics 2009-11-07 Tapati Dutta , Nikolai Lebovka , S. Tarafdar

We find the laws for the spreading of the spatial widths (parallel and transverse to the direction of average motion) of the relativistic position probability density for a massive, spinless particle. We find that when the momentum width of…

Quantum Physics · Physics 2018-04-04 Scott E. Hoffmann

This paper concerns the long term behaviour of a growth model describing a random sequential deposition of particles on a finite graph. The probability of allocating a particle at a vertex is proportional to a log-linear function of numbers…

Probability · Mathematics 2020-04-13 Mikhail Menshikov , Vadim Shcherbakov

A recently introduced particle-based model for fluid dynamics with continuous velocities is generalized to model fluids with excluded volume effects. This is achieved through the use of biased stochastic multi-particle collisions which…

Soft Condensed Matter · Physics 2007-05-23 Erkan Tuzel , Thomas Ihle , Daniel M. Kroll

Molecular kinetic simulations are typically used to accurately describe the tenuous regions of the upper atmospheres on planetary bodies. These simulations track the motion of particles representing real atmospheric atoms and/or molecules…

Earth and Planetary Astrophysics · Physics 2021-07-27 S. R. Carberry Mogan , O. J. Tucker , R. E. Johnson

There is increasing evidence that the geometry, and not only the filling factors, of nova ejecta is important in the interpretation of their spectral and photometric developments. Ensembles of spectra and light curves have provided general…

Solar and Stellar Astrophysics · Physics 2015-06-17 Steven N. Shore

We examine the population of simply periodic orbits in the Hill problem with radiation pressure included, in order to understand the distribution of gravitationally bound dust in orbit around a planet. We study a wide range of radiation…

Earth and Planetary Astrophysics · Physics 2024-03-06 Brad M. S. Hansen , Kevin Hayakawa

We study the problem of a Herbig-Haro jet with a uniformly accelerating ejection velocity, travelling into a uniform environment. For the ejection density we consider two cases: a time-independent density, and a time-independent mass loss…

Solar and Stellar Astrophysics · Physics 2022-03-23 J. I. Castorena , A. C. Raga , A. Esquivel , A. Rodríguez-González , L. Hernández-Martínez , J. Cantó , F. Clever

The estimation of CME arrival time strongly depends on the CME propagation models in interplanetary space and the geometrical aspects of the CME model. We conducted ensemble simulations of CMEs propagation with various elliptical cone…

The distribution of instellation at the top of a planet's atmosphere or surface is usually calculated using the inverse-square law of radiation. This is based on the assumption that the host star is far enough to be considered a point-sized…

Earth and Planetary Astrophysics · Physics 2021-03-23 Mradumay Sadh

An asymmetric exclusion model on an open chain with random rates for hopping particles, where overtaking is also possible, is studied numerically and by computer simulation. The phase structure of the model and the density profiles near the…

Statistical Mechanics · Physics 2007-05-23 A. Tonddast-Navaei , V. Karimipour , M. R. Ejtehadi

We present a novel way of modeling common envelope evolution in binary and few-body systems. We consider the common envelope inspiral as driven by a drag force with a power-law dependence in relative distance and velocity. The orbital…

Dynamics of inelastic gases are studied within the framework of random collision processes. The corresponding Boltzmann equation with uniform collision rates is solved analytically for gases, impurities, and mixtures. Generally, the energy…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , P. L. Krapivsky

Neglecting small fragments in space debris evolutionary models can lead to a significant underestimation of the collision risk for operational satellites. However, when scaling down to the millimeter range, the debris population grows to…

Space Physics · Physics 2023-09-08 Lorenzo Giudici , Juan Luis Gonzalo , Camilla Colombo

Aerosol opacity has emerged as a critical factor controlling transmission and emission spectra. We provide a simple guideline for the effects of aerosol morphology on opacity and residence time in the atmosphere, as it pertains to transit…

Earth and Planetary Astrophysics · Physics 2024-08-22 Sanaz Vahidinia , Sarah E. Moran , Mark S. Marley , Jeff N. Cuzzi

An asteroid spun up to its critical limit has unique surface mechanical properties that its gravity and the centrifugal force largely balance, creating a relaxation environment where low-energy events such as mass shedding may trigger…

Earth and Planetary Astrophysics · Physics 2023-04-26 Zhijun Song , Yang Yu , Bin Cheng , Jing Lv , Hexi Baoyin

We study semi-infinite particle systems on the one-dimensional integer lattice, where each particle performs a continuous-time nearest-neighbour random walk, with jump rates intrinsic to each particle, subject to an exclusion interaction…

Probability · Mathematics 2024-12-20 Mikhail Menshikov , Serguei Popov , Andrew Wade

Scale-free surfaces, such as cones, remain unchanged under a simultaneous expansion of all coordinates by the same factor. Probability density of a particle diffusing near such absorbing surface at large time approaches a simple form that…

Statistical Mechanics · Physics 2015-04-28 Nir Alfasi , Yacov Kantor

Consider a particle diffusing in a confined volume which is divided into two equal regions. In one region the diffusion coefficient is twice the value of the diffusion coefficient in the other region. Will the particle spend equal…

Dynamical Systems · Mathematics 2015-06-04 P. F. Tupper , Xin Yang

A key goal of exoplanet spectroscopy is to measure atmospheric properties, such as abundances of chemical species, in order to connect them to our understanding of atmospheric physics and planet formation. In this new era of high-quality…

Earth and Planetary Astrophysics · Physics 2024-04-18 Matthew C. Nixon , Luis Welbanks , Peter McGill , Eliza M. -R. Kempton