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Monte Carlo sampling of any system may be analyzed in terms of an associated glass model -- a variant of the Random Energy Model -- with, whenever there is a sign problem, complex fields. This model has three types of phases (liquid, frozen…

Statistical Mechanics · Physics 2011-01-17 Gustavo During , Jorge Kurchan

Coagulation of submicron-sized dust grains into porous aggregates is the initial step of dust evolution in protoplanetary disks. Recently, it has been pointed out that negative charging of dust in the weakly ionized disks could…

Earth and Planetary Astrophysics · Physics 2015-05-20 Satoshi Okuzumi , Hidekazu Tanaka , Taku Takeuchi , Masa-aki Sakagami

We present a new implementation of the Monte Carlo method to simulate the evolution of star clusters. The major improvement with respect to the previously developed codes is the treatment of the external tidal field taking into account for…

Solar and Stellar Astrophysics · Physics 2015-06-22 A. Sollima , A. Mastrobuono Battisti

In the present article we introduce a variant of Smoluchowski's coagulation equation with both position and velocity variables taking a kinetic viewpoint arising as the scaling limit of a system of second-order (microscopic) coagulating…

Analysis of PDEs · Mathematics 2022-11-15 Franco Flandoli , Ruojun Huang , Andrea Papini

Stellar collisions have long been envisioned to be of great importance in the center of galaxies where densities of 1e6 stars per cubic pc or higher are attained. Not only can they play a unique dynamical role by modifying stellar masses…

Astrophysics · Physics 2007-05-23 Marc Freitag , Willy Benz

Observations with the Atacama Large Millimeter/submillimeter Array (ALMA) and the Jansky Very Large Array (JVLA) have revealed many dust rings in protoplanetary disks, often interpreted as dust traps at gas pressure bumps. Previous studies…

Earth and Planetary Astrophysics · Physics 2025-07-15 Linhan Yang , Ya-Ping Li , Ruobing Dong , Kiyoaki Doi , Hauyu Baobab Liu , Pinghui Huang

A combination of JWST observations at z~12-14 and ALMA observations of extremely dust-rich systems at z~6 has demonstrated that dust grows extremely fast in the early Universe, with galaxies amassing up to 10^7 Msun of dust in just 500 Myr…

Most protoplanetary discs are thought to undergo violent and frequent accretion outbursts, during which the accretion rate and central luminosity are elevated for several decades. This temporarily increases the disc temperature, leading to…

Earth and Planetary Astrophysics · Physics 2023-03-27 Adrien Houge , Sebastiaan Krijt

We address the nature of the giant clumps in high-z galaxies that undergo Violent Disc Instability, attempting to distinguish between long-lived clumps that migrate inward and short-lived clumps that disrupt by feedback. We study the…

Astrophysics of Galaxies · Physics 2022-01-26 Avishai Dekel , Nir Mandelker , Frederic Bournaud , Daniel Ceverino , Yicheng Guo , Joel primack

Chemical evolution models and Monte Carlo simulation techniques have been combined for the first time to study the distribution of blue compact galaxies on the N/O plateau. Each simulation comprises 70 individual chemical evolution models.…

Astrophysics · Physics 2011-02-11 R. B. C. Henry , A. Nava , Jason X. Prochaska

To investigate the evolution of dust in a cosmological volume, we perform hydrodynamic simulations, in which the enrichment of metals and dust is treated self-consistently with star formation and stellar feedback. We consider dust evolution…

Astrophysics of Galaxies · Physics 2018-07-24 Shohei Aoyama , Kuan-Chou Hou , Hiroyuki Hirashita , Kentaro Nagamine , Ikkoh Shimizu

Despite the recent advancements in the field of galaxy formation and evolution, fully self-consistent simulations are still unable to make the detailed predictions necessary for the planned and ongoing large spectroscopic and photometry…

Astrophysics of Galaxies · Physics 2019-08-19 Ivan Minchev , Cristina Chiappini , Marie Martig

The coupling between the magnetic field and the gas during the collapsing phase of star-forming cores is strongly affected by the dust size distribution, which is expected to evolve. We aim to investigate the influence of key parameters on…

Solar and Stellar Astrophysics · Physics 2024-10-02 Valentin Vallucci-Goy , Ugo Lebreuilly , Patrick Hennebelle

Signposts of early planet formation are ubiquitous in substructured young discs. Dense, hot and high-pressure regions formed during gravitational collapse process, integral to star formation, facilitate dynamical mixing of dust within the…

Simulation of the dynamics of dust-gas circumstellar discs is crucial in understanding the mechanisms of planet formation. The dynamics of small grains in the disc is stiffly coupled to the gas, while the dynamics of grown solids is…

Earth and Planetary Astrophysics · Physics 2018-11-16 Olga P. Stoyanovskaya , Tatiana A. Glushko , Nikolay V. Snytnikov , Valeriy N. Snytnikov

We consider two simple models for the formation of polymers where at the initial time, each monomer has a certain number of potential links (called arms in the text) that are consumed when aggregations occur. Loosely speaking, this imposes…

Mathematical Physics · Physics 2015-05-13 Jean Bertoin

(abridged) In the core accretion scenario for the formation of planetary rocky cores, the first step toward planet formation is the growth of dust grains into larger and larger aggregates and eventually planetesimals. Although dust grains…

Simulations of dense stellar systems currently face two major hurdles, one astrophysical and one computational. The astrophysical problem lies in the fact that several major stages in binary evolution, such as common envelope evolution, are…

Astrophysics · Physics 2007-05-23 Piet Hut

We consider the numerical analysis of the inchworm Monte Carlo method, which is proposed recently to tackle the numerical sign problem for open quantum systems. We focus on the growth of the numerical error with respect to the simulation…

Numerical Analysis · Mathematics 2021-12-07 Zhenning Cai , Jianfeng Lu , Siyao Yang

We study a coupled thermo-diffusion system that accounts for the dynamics of hot colloids in periodically heterogeneous media. Our model describes the joint evolution of temperature and colloidal concentrations in a saturated porous…

Analysis of PDEs · Mathematics 2017-04-07 Vo Anh Khoa , Adrian Muntean
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