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Convective self-aggregation is a modelling paradigm for thunderstorm organisation over a constant-temperature tropical sea surface. This setup can give rise to cloud clusters over timescales of weeks. In reality, sea surface temperatures do…

Atmospheric and Oceanic Physics · Physics 2020-12-04 Jan O. Haerter , Bettina Meyer , Silas Boye Nissen

Convective self-aggregation is when thunderstorm clouds cluster over a constant temperature surface in radiative convective equilibrium. Self-aggregation was implicated in the Madden-Julian Oscillation and hurricanes. Yet, numerical…

Adaptation and Self-Organizing Systems · Physics 2020-02-11 Jan O. Haerter

Self-aggregation of tropical convection is a universal feature observed in a diverse range of atmospheric environments. Several preceding models conceptualized the self-aggregation of convection as a phase transition driven by collisions…

Atmospheric and Oceanic Physics · Physics 2025-04-23 Takuya Jinno , Hiroaki Miura

Condensation in cumulus clouds plays a key role in structuring the mean, non-precipitating trade-wind boundary layer. Here, we summarise how this role also explains the spontaneous growth of mesoscale ($>O(10)$ km) fluctuations in clouds…

On small scales, the tropical atmosphere tends to be either moist or very dry. This defines two states that, on large scales, are separated by a sharp margin, well-identified by the anti-mode of the bimodal tropical column water vapor…

Atmospheric and Oceanic Physics · Physics 2020-11-10 Tom Beucler , David Leutwyler , Julia Windmiller

The bulk circulation associated with convective clouds includes not only a region of updraft and cloudy air but also a region of compensating descent and cloud-free air and horizontal motions coupling these regions. The Kinematic…

Atmospheric and Oceanic Physics · Physics 2025-12-16 Matthew R. Igel , Joseph A. Biello , Adele L. Igel

An extremely broad and important class of phenomena in nature involves the settling and aggregation of matter under gravitation in fluid systems. Some examples include: sedimenting marine snow particles in lakes and oceans (central to…

Fluid Dynamics · Physics 2019-05-21 Roberto Camassa , Daniel M. Harris , Robert Hunt , Zeliha Kilic , Richard M. McLaughlin

Condensable species are crucial in shaping planetary climate. A wide range of planetary climate systems involve understanding non-dilute condensable substances and their influence on climate dynamics. There has been progress on large-scale…

Earth and Planetary Astrophysics · Physics 2021-12-22 Xianyu Tan , Maxence Lefevre , Raymond Pierrehumbert

In this work we study the global solvability of moisture dynamics with phase changes for warm clouds. We thereby in comparison to previous studies [Hittmeir-Klein-Li-Titi (2017)] take into account the different gas constants for dry air and…

Analysis of PDEs · Mathematics 2023-06-21 Sabine Hittmeir , Rupert Klein , Jinkai Li , Edriss S. Titi

Excess pore pressure in granular--fluid mixtures can transiently suppress frictional contacts and dramatically enhance flow mobility, yet its evolution is commonly modeled using constant effective diffusivities. Here we show that the…

Soft Condensed Matter · Physics 2026-04-21 Eric C. P. Breard , Claudia Elijas Parra , Mattia de' Michieli Vitturi

Convective self-aggregation refers to a phenomenon in which random convection can self-organize into large-scale clusters over an ocean surface with uniform temperature in cloud-resolving models. Previous literature studies convective…

Atmospheric and Oceanic Physics · Physics 2021-10-26 Lin Yao , Da Yang , Zhe-Min Tan

In a changing climate, a key role may be played by the response of convective-type cloud and precipitation to temperature changes. Yet, it is unclear if precipitation intensities will increase mainly due to modified thermodynamic forcing or…

Atmospheric and Oceanic Physics · Physics 2016-10-12 Christopher Moseley , Cathy Hohenegger , Peter Berg , Jan O. Haerter

Atmospheric water vapour is an essential ingredient of weather and climate. Key features of its distribution can be represented by kinematic models which treat it as a passive scalar advected by a prescribed flow and reacting through…

Atmospheric and Oceanic Physics · Physics 2017-06-29 Yue-Kin Tsang , Jacques Vanneste

Aggregation-diffusion equations are foundational tools for modelling biological aggregations. Their principal use is to link the collective movement mechanisms of organisms to their emergent space use patterns in a concrete mathematical…

Populations and Evolution · Quantitative Biology 2025-04-16 Jonathan R. Potts

We consider a large class of nonlinear diffusive systems with nonlocal coupling. By using a non-perturbative analytical approach we are able to determine the convective and absolute instabilities of all the uniform states of these systems.…

Pattern Formation and Solitons · Physics 2009-11-11 Francesco Papoff , Roberta Zambrini

We study a moisture model for warm clouds that has been used by Klein and Majda as a basis for multiscale asymptotic expansions for deep convective phenomena. These moisture balance equations correspond to a bulk microphysics closure in the…

Analysis of PDEs · Mathematics 2017-10-11 Sabine Hittmeir , Rupert Klein , Jinkai Li , Edriss S. Titi

Idealized convection-permitting simulations of radiative-convective equilibrium (RCE) have become a popular tool for understanding the physical processes leading to horizontal variability of tropical water vapor and rainfall. However, the…

Atmospheric and Oceanic Physics · Physics 2019-09-19 Tom Beucler , Tristan Abbott , Timothy Cronin , Michael Pritchard

The mass and size distributions are the key characteristics of any astrophysical objects, including the densest clumps comprising the cold phase of multiphase environments. In our recent papers, we showed how individual clouds of various…

Astrophysics of Galaxies · Physics 2019-05-01 Tim Waters , Daniel Proga

Compositional convection is atmospheric mixing driven by density variations caused by compositional gradients. Previous studies have suggested that compositional gradients of atmospheric trace species within planetary atmospheres can impact…

Earth and Planetary Astrophysics · Physics 2025-11-18 Namrah Habib , Raymond T. Pierrehumbert

Atmospheric flows exhibit long-range spatiotemporal correlations manifested as the fractal geometry to the global cloud cover pattern concomitant with inverse power-law form for power spectra of temporal fluctuations of all scales ranging…

General Physics · Physics 2007-05-23 A. M. Selvam , S. Fadnavis
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