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Related papers: Modeling dust growth in protoplanetary disks: The …

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Porosity evolution of dust aggregates is crucial in understanding dust evolution in protoplanetary disks. In this study, we present useful tools to study the coagulation and porosity evolution of dust aggregates. First, we present a new…

Earth and Planetary Astrophysics · Physics 2014-11-20 Satoshi Okuzumi , Hidekazu Tanaka , Masa-aki Sakagami

Dust growth is a crucial step in planet formation, and the efficiency of this process is controlled by the physical and chemical properties of the dust grains. Monte Carlo-based methods are commonly used to follow the collisional evolution…

Earth and Planetary Astrophysics · Physics 2026-04-29 Nerea Gurrutxaga , Vignesh Vaikundaraman , Joanna Drazkowska

Dust growth is often neglected when building models of protoplanetary disks due to its complexity and computational expense. However, it does play a major role in shaping the evolution of protoplanetary dust and planet formation. In this…

Earth and Planetary Astrophysics · Physics 2020-01-08 Joanna Drazkowska , Shengtai Li , Til Birnstiel , Sebastian M. Stammler , Hui Li

The thesis deals with the first stage of planet formation, namely dust coagulation from micron to millimeter sizes in circumstellar disks. For the first time, we collect and compile the recent laboratory experiments on dust aggregates into…

Earth and Planetary Astrophysics · Physics 2010-11-02 Andras Zsom

The early stages of planet formation are still not well understood. Coagulation models have revealed numerous obstacles to the dust growth, such as the bouncing, fragmentation and radial drift barriers. We study the interplay between dust…

Earth and Planetary Astrophysics · Physics 2013-07-24 J. Drazkowska , F. Windmark , C. P. Dullemond

Planet formation occurs within the gas and dust rich environments of protoplanetary disks. Observations of these objects show that the growth of primordial sub micron sized particles into larger aggregates occurs at the earliest stages of…

Earth and Planetary Astrophysics · Physics 2015-06-11 Pascale Garaud , Farzana Meru , Marina Galvagni , Christoph Olczak

Context: There is increasing need for good algorithms for modeling the aggregation and fragmentation of solid particles (dust grains, dust aggregates, boulders) in various astrophysical settings, including protoplanetary disks, planetary-…

Astrophysics · Physics 2009-11-13 A. Zsom , C. P. Dullemond

Recent surveys have revealed that protoplanetary discs typically have dust masses that appear to be insufficient to account for the high occurrence rate of exoplanet systems. We demonstrate that this observed dust depletion is consistent…

Earth and Planetary Astrophysics · Physics 2020-09-30 Johan Appelgren , Michiel Lambrechts , Anders Johansen

We present a method which extends Monte Carlo studies to situations that require a large dynamic range in particle number. The underlying idea is that, in order to calculate the collisional evolution of a system, some particle interactions…

Astrophysics · Physics 2009-11-13 C. W. Ormel , M. Spaans

A revision of Stod\{'o}{\l}kiewicz's Monte Carlo code is used to simulate evolution of large star clusters. A survey of the evolution of N-body systems influenced by the tidal field of a parent galaxy and by stellar evolution is presented.…

Astrophysics · Physics 2015-06-24 Mirek Giersz

In the current paradigm of planet formation research, it is believed that the first step to forming massive bodies (such as asteroids and planets) requires that small interstellar dust grains floating through space collide with each other…

Earth and Planetary Astrophysics · Physics 2021-04-28 Kevin Hoffman , Jae Yoon Sung , André Zazzera

We introduce an extended Smoluchowski equation describing coagulation processes for which clusters of mass s grow between collisions with $ds/dt=As^\beta$. A physical example, dropwise condensation is provided, and its collision kernel K is…

Statistical Mechanics · Physics 2009-10-30 Stephane Cueille , Clement Sire

To treat the problem of growing protoplanetary disc solids across the meter barrier, we consider a very simplified two-component coagulation-fragmentation model that consists of macroscopic boulders and smaller dust grains, the latter being…

We demonstrate an approach to solving the coagulation equation that involves using a finite number of moments of the particle size distribution. This approach is particularly useful when only general properties of the distribution, and…

Astrophysics · Physics 2009-11-13 Paul R. Estrada , Jeffrey N. Cuzzi

Due to the complex characteristics of bottle-brush polymers, it became a challenge to develop an efficient algorithm for studying such macromolecules under various solvent conditions or some constraints in the space by using computer…

Soft Condensed Matter · Physics 2011-07-08 Hsiao-Ping Hsu

Dust coagulation in protoplanetary disks is not straightforward and is subject to several slow-down mechanisms, such as bouncing, fragmentation and radial drift to the star. Furthermore, dust grains in UV-shielded disk regions are…

Solar and Stellar Astrophysics · Physics 2023-08-09 Vitaly Akimkin , Alexei V. Ivlev , Paola Caselli , Munan Gong , Kedron Silsbee

Smoluchowski's coagulation equation is a mean-field model describing the growth of clusters by successive mergers. Since its derivation in 1916 it has been studied by several authors, using deterministic and stochastic approaches, with a…

Analysis of PDEs · Mathematics 2018-06-22 Philippe Laurençot

Planet formation in the discs around young stars involves the coagulation of sub-micron sized dust grains into much larger grains that may be mixed by turbulence and migrate through the disc. In this paper, we describe how we have combined…

Earth and Planetary Astrophysics · Physics 2026-02-04 Matthew R. Bate , Mark A. Hutchison , Daniel Elsender

We discuss the efficiency of Monte Carlo methods in solving continuum radiative transfer problems. The sampling of the radiation field and convergence of dust temperature calculations in the case of optically thick clouds are both studied.…

Astrophysics · Physics 2009-11-10 M. Juvela

The Smoluchowski equation is a system of partial differential equations modelling the diffusion and binary coagulation of a large collection of tiny particles. The mass parameter may be indexed either by positive integers, or by positive…

Probability · Mathematics 2008-12-01 Mohammad Reza Yaghouti , Fraydoun Rezakhanlou , Alan Hammond
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