References: modelling frameworks

Fokker-Plank and other stat-phys aproaches for spectrum evolution:

• Telford 1955
  "A new aspect of coalescence theory"
• Williams & Wojtowicz 1982
  "A Simple Model for Droplet Size Distribution in Atmospheric Clouds"
• Reuter 1988
  "The collection kernel for two falling cloud drops subjected to random perturbations in a turbulent air flow: a stochastic model"
• Provata & Nicolis 1994
  "A microscopic aggregation model of droplet dynamics in warm clouds"
• Wu & McFarquhar 2018
  "Statistical Theory on the Functional Form of Cloud Particle Size Distributions"
• Yano 2019
  "What Is the Maximum Entropy Principle? Comments on ``Statistical Theory on the Functional Form of Cloud Particle Size Distributions''"
• Wu & McFarquhar 2019
  "Reply to “What Is the Maximum Entropy Principle? Comments on ‘Statistical Theory on the Functional Form of Cloud Particle Size Distributions’”"
• Chandrakar et al. 2019
  "Droplet size distributions in turbulent clouds: experimental evaluation of theoretical distributions"
• Saito et al. 2019
  "Broadening of Cloud Droplet Size Distributions by Condensation in Turbulence"
• Krueger 2020
  "Technical note: Equilibrium droplet size distributions in a turbulent cloud chamber with uniform supersaturation"

updraft-downdraft cycle in adiabatic parcel:

• Korolev 1995 (J. Atmos. Sci.)
  "The Influence of Supersaturation Fluctuations on Droplet Size Spectra Formation"
• Korolev & Mazin 2003
• Pinsky et al. 2013 (J. Atmos. Sci.)
• Korolev et al. 2013 (J. Atmos. Sci.)
• Arabas & Shima 2017 (Nonlin. Proc. Geophys.)
• Jensen and Nugent 2017 (J. Atmos. Sci. 74)
• Yang_et_al_2018 (Atmos. Chem. Phys. 18)

entraining parcel:

• Warner 1973
• Mason & Jonas 1974 (QJRMS)
• Lee & Pruppacher 1977
• Baker et al. 1980 (QJRMS)
• Jonas & Mason 1982 (QJRMS)
• Roesner, Flossmann & Pruppacher 1990 (QJRMS)
• Roelofs 1992 (J. Atmos. Chem.)
• Abade et al. 2018

2D kinematic:

• Kessler 1969
• Gedzelman & Arnold 1993 (MWR 121)
  "The Form of Cyclonic Precipitation and Its Thermal Impact"
• Gedzelman & Arnold 1994 (J. Geophys. Res. 99) >cited by<
  "Modeling the isotopic composition of precipitation"
• Szumowski et al. 1998 (Atmos. Res. 45(4)) cited by: Google Scholar
• Grabowski 1998 (J. Atmos. Sci.)
• Grabowski 1999 (Atmos. Res.)
• Morrison & Grabowski 2007 (J. Atmos. Sci.)
  "Comparison of Bulk and Bin Warm-Rain Microphysics Models Using a Kinematic Framework"
• Morrison & Grabowski 2008 (J. Atmos. Sci.)
  "A Novel Approach for Representing Ice Microphysics in Models: Description and Tests Using a Kinematic Framework"
• Slawinska et al. 2009 (QJRMS)
• Rasinski et al 2011 (Atmos. Res. 102(1-2))
• Szabó-Takács 2011 (Időjárás)
  "Numerical simulation of the cycle of aerosol particles in stratocumulus clouds with a two-dimensional kinematic model"
• Sulia et al. 2013 (JAS)
  "A Method for Adaptive Habit Prediction in Bulk Microphysical Models. Part III: Applications and Studies within a Two-Dimensional Kinematic Model"
• Arabas et al. 2015 (GMD)
  "libcloudph++ 1.0: a single-moment bulk, double-moment bulk, and particle-based warm-rain microphysics library in C++ "
• Jaruga & Pawlowska 2018
  "libcloudph++ 2.0: aqueous-phase chemistry extension of the particle-based cloud microphysics scheme"
• Schmeller & Geresdi 2019
• Bohrer & Knoth 2019
• KiD-A

single-column kinematic setups (incl. KiD-1D):

• Field et al. 2012 (JAS)
  "Ice in Clouds Experiment–Layer Clouds. Part II: Testing Characteristics of Heterogeneous Ice Formation in Lee Wave Clouds"
• Onishi & Takahashi 2012 (JAS)
  "A Warm-Bin–Cold-Bulk Hybrid Cloud Microphysical Model"
• Gettelman & Morrison 2015
  "Advanced Two-Moment Bulk Microphysics for Global Models. Part I: Off-Line Tests and Comparison with Other Schemes"
• Gettelman et al. 2019 (JAMES)
  "The Impact of Rimed Ice Hydrometeors on Global and Regional Climate"