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

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Understanding the collisional behavior of dust aggregates is essential in the context of planet formation. It is known that low-velocity collisions of dust aggregates result in bouncing rather than sticking when the filling factor of…

Modeling of aggregation processes in space-inhomogeneous systems is extremely numerically challenging since complicated aggregation equations -- Smoluchowski equations are to be solved at each space point along with the computation of…

Computational Physics · Physics 2023-12-11 M. A. Larchenko , R. R. Zagidullin , V. V. Palyulin , N. V. Brilliantov

Context. Current models of the size- and radial evolution of dust in protoplanetary disks generally oversimplify either the radial evolution of the disk (by focussing at one single radius or by using steady state disk models) or they assume…

Earth and Planetary Astrophysics · Physics 2010-05-03 T. Birnstiel , C. P. Dullemond , F. Brauer

Smoluchowski's equation is a macroscopic description of a many particle system with coagulation and shattering interactions. We give a microscopic model of the system from which we derive this equation rigorously. Provided the existence of…

Probability · Mathematics 2018-04-26 Stefan Grosskinsky , Christian Klingenberg , Karl Oelschlaeger

Temperature-dependent Smoluchowski equations describe the ballistic agglomeration. In contrast to the standard Smoluchowski equations for the evolution of cluster densities with constant rate coefficients, the temperature-dependent…

Statistical Mechanics · Physics 2022-10-11 A. I. Osinsky , N. V. Brilliantov

We present a new instability driven by a combination of coagulation and radial drift of dust particles. We refer to this instability as ``coagulation instability" and regard it as a promising mechanism to concentrate dust particles and…

Earth and Planetary Astrophysics · Physics 2021-12-15 Ryosuke T. Tominaga , Shu-ichiro Inutsuka , Hiroshi Kobayashi

The degree of coupling between dust particles and their surrounding gas in protoplanetary disks is quantified by the dimensionless Stokes number. The Stokes number (St) governs particle size and spatial distributions, in turn establishing…

Earth and Planetary Astrophysics · Physics 2024-08-02 Teng Ee Yap , Konstantin Batygin

In this article a stochastic particle system approximation to the parametric sensitivity in the Smoluchowski coagulation equation is introduced. The parametric sensitivity is the derivative of the solution to the equation with respect to…

Probability · Mathematics 2016-09-08 I. Bailleul , P. L. W. Man , M. Kraft

In order to study linker-mediated aggregation of colloidal particles with limited valence, we combine kinetic Monte Carlo simulations and an approximate theory based on the Smoluchowski equations. We found that aggregation depends strongly…

Soft Condensed Matter · Physics 2020-07-15 J. M. Tavares , G. C. Antunes , C. S. Dias , M. M. Telo da Gama , N. A. M. Araújo

Observations of protoplanetary disks have revealed them to be complex and dynamic, with vertical and radial transport of gas and dust occurring simultaneously with chemistry and planet formation. Previous models of protoplanetary disks…

Earth and Planetary Astrophysics · Physics 2022-03-18 Eric Van Clepper , Jennifer B. Bergner , Arthur D. Bosman , Edwin Bergin , Fred J. Ciesla

A new Monte-Carlo radiative-transfer code, Sunrise, is used in conjunction with hydrodynamic simulations of major galaxy mergers to calculate the effects of dust in such systems. The simulations are in good agreement with observations of…

Astrophysics · Physics 2010-11-11 Patrik Jonsson , T. J. Cox , Joel R. Primack , Rachel S. Somerville

We investigate the influence of multiscale aggregation and deposition on the colloidal dynamics in a saturated porous medium. At the pore scale, the aggregation of colloids is modeled by the Smoluchowski equation. Essentially, the colloidal…

Analysis of PDEs · Mathematics 2014-04-17 Oleh Krehel , Adrian Muntean , Peter Knabner

We present cosmological zoom-in hydro-dynamical simulations for the formation of disc galaxies, implementing dust evolution and dust promoted cooling of hot gas. We couple an improved version of our previous treatment of dust evolution,…

Methods. We have modelled a sample of ~800 nearby galaxies, spanning a wide range of metallicity, gas fraction, specific star formation rate and Hubble stage. We have derived the dust properties of each object from its spectral energy…

We investigated numerically the dust growth driven by Brownian motion in a proto-planetary disc around a solar-type young stellar object. This process is considered as the first stage in the transformation of the initially micron-sized…

Astrophysics · Physics 2007-05-23 S. Kempf , S. Pfalzner , Th. Henning

The growth processes from protoplanetary dust to planetesimals are not fully understood. Laboratory experiments and theoretical models have shown that collisions among the dust aggregates can lead to sticking, bouncing, and fragmentation.…

Earth and Planetary Astrophysics · Physics 2015-05-14 Carsten Güttler , Jürgen Blum , Andras Zsom , Chris W. Ormel , Cornelis P. Dullemond

Understanding how dust evolves in protoplanetary disks is crucial to constraining the initial conditions of planet formation. The apparent "mass budget problem", which stems from the comparison of the observed disk masses to the ones…

Earth and Planetary Astrophysics · Physics 2026-04-23 Sofia Savvidou

Dust plays a fundamental role during protostellar collapse, disk and planet formation. Recent observations suggest that efficient dust growth may begin early, in the protostellar envelopes, potentially even before the formation of the disk.…

Solar and Stellar Astrophysics · Physics 2026-03-25 Maxime Lombart , Ugo Lebreuilly , Anaëlle Maury

The coagulation of dust particles under the conditions in protoplanetary disks is investigated. The study focuses on the repulsive electrostatic barrier against growth of charged dust grains. Taking into account the photoelectric effect…

Earth and Planetary Astrophysics · Physics 2015-08-26 V. Akimkin

Binary coagulation is an important process in aerosol dynamics by which two particles merge to form a larger one. The distribution of particle sizes over time may be described by the so-called Smoluchowski's coagulation equation. This…

Mathematical Physics · Physics 2021-06-25 Marina A. Ferreira