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References: ice phase
- Vali 1985 (BAMS, J. Rech. Atmos., J. Aerosol Sci.)
"Nucleation terminology" -
Vali et al. 2015
"Technical Note: A proposal for ice nucleation terminology" -
Kokhanovsky 2021
"Microphysics and Geometry of Snowpack"
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Andronache (ed.) 2018 (Springer)
"Mixed-Phase Clouds: Observations and Modeling"
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Riemer et al. 2019
"Aerosol Mixing State: Measurements, Modeling, and Impacts"6.3.2 Mixing State Impacts on Ice Nucleating Particles (INPs)
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Vali & Stansbury 1966 (Can. J. Phys.)
"Time-dependant characteristics of the heterogeneous nucleation of ice" -
Vali 1994
"Freezing rate due to heterogeneous nucleation" -
Koop et al. 1997 (J. Phys. Chem. A 101)
"Freezing of HNO3/H2SO4/H2O Solutions at Stratospheric Temperatures: Nucleation Statistics and Experiments" -
Vali 2008 (Atmos. Chem. Phys.)
"Repeatability and randomness in heterogeneous freezing nucleation" -
Vali 2014 (Atmos. Chem. Phys.)
"Interpretation of freezing nucleation experiments: singular and stochastic; sites and surface"
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Vali 1971
"Quantitative Evaluation of Experimental Results an the Heterogeneous Freezing Nucleation of Supercooled Liquids"Consecutive sets of numbers were assigned to each successive temperature interval in proportion to the assumed concentrations for the intervals. Random numbers generated in the computer were then compared to the assigned numbers and the temperatures to which those numbers belonged were taken as the freezing temperatures of drops.
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Alpert & Knopf 2016
"Analysis of isothermal and cooling-rate-dependent immersionfreezing by a unifying stochastic ice nucleation model"For IFSs (immersion freezing simulations) in which a cooling rate, r, is applied, J_het as a function of T and aqueous solution water activity, aw, can be calculated following the water activity-based immersion freezing model (ABIFM) applicable for both pure water (aw=1.0) and aqueous solution (aw<1.0) droplets. These IFSs generate frozen and unfrozen droplet fraction data, fufz and ffrz, respectively, and using a Monte Carlo method in which 10^5 IFSs are performed under the same conditions, 5th and 95th percentile bounds are derived as uncertainty estimates
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Kubota 2019 (Cryst. Eng. Comm.)
"Random distribution active site model for ice nucleation in water droplets"Monte Carlo simulations are performed to generate both the nucleation time distributions and the nucleation temperature distributions
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Shima et al. 2020 (Geosci. Model Dev.)
"Predicting the morphology of ice particles in deep convection using the super-droplet method: development and evaluation of SCALE-SDM 0.2.5-2.2.0, -2.2.1, and -2.2.2"The freezing temperature Tfz corresponds to the highest temperature at which the first INAS appears on the insoluble substance's surface. Let A_insol be the insoluble substance's surface area. Then, the probability that Tfz is larger than T can be calculated as P(T_fz > T)=1−exp[−A_insol n_S(T)]... We can determine Tfz by selecting a random number that follows this probability distribution.
- KiD 1D:
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Field et al. 2012 (J. Atmos. Sci. 69)
"Ice in Clouds Experiment–Layer Clouds. Part II: Testing Characteristics of Heterogeneous Ice Formation in Lee Wave Clouds" -
Gettelman & Morrison 2015 (J. Climate 28)
"Advanced Two-Moment Bulk Microphysics for Global Models. Part I: Off-Line Tests and Comparison with Other Schemes"
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Field et al. 2012 (J. Atmos. Sci. 69)
- other 2D:
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Gedzelman & Arnold 1994 (J. Geophys. Res. 99)
"Modeling the isotopic composition of precipitation"
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Gedzelman & Arnold 1994 (J. Geophys. Res. 99)
- as a function of water activity (ABIFM):
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Knopf & Alpert 2013 (Farad. Discuss.)
"A water activity based model of heterogeneous ice nucleation kinetics for freezing of water and aqueous solution droplets"
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Knopf & Alpert 2013 (Farad. Discuss.)
- as a function of temperature (INAS / singular hypothesis / deterministic approach):
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Connolly et al. 2009
"Studies of heterogeneous freezing by three different desert dust samples" -
DeMott et al. 2010
"Predicting global atmospheric ice nuclei distributions and their impacts on climate" -
Niemand et al. 2012
"A particle-surface-area-based parameterization of immersion freezing on desert dust particles" -
DeMott et al 2015 (Atmos. Chem. Phys.)
"Integrating laboratory and field data to quantify the immersion freezing ice nucleation activity of mineral dust particles"
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Connolly et al. 2009
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Jucha et al. 2018
"Settling and collision between small ice crystals in turbulent flows" -
Naso et al. 2018 (J. Fluid Mech.)
"Collision rate of ice crystals with water droplets in turbulent flows" -
Sheikh et al. 2020 (J. Fluid Mech.)
"Importance of fluid inertia for the orientation of spheroids settling in turbulent flow"
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Vali et al. 1976
"Biogenic Ice Nuclei. Part II: Bacterial Sources"
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Fridlind et al. 2012
"A FIRE-ACE/SHEBA Case Study of Mixed-Phase Arctic Boundary Layer Clouds: Entrainment Rate Limitations on Rapid Primary Ice Nucleation Processes" -
Savre & Ekman 2015
"Large-eddy simulation of three mixed-phase cloud events during ISDAC: Conditions for persistent heterogeneous ice formation"
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Jensen & Pfister 2004 (J. Geophys. Res. 109)
"Transport and freeze‐drying in the tropical tropopause layer" -
Paoli et al. 2004 (J. Fluid Mech. 502)
"Contrail formation in aircraft wakes" -
Shirgaonkar & Lele 2006
"Large Eddy Simulation of Early Stage Contrails: Effect of Atmospheric Properties" -
Sölch & Kärcher 2010
"A large-eddy model for cirrus clouds with explicit aerosol and ice microphysics and Lagrangian ice particle tracking" -
Sölch & Kärcher 2011
"Process-oriented large-eddy simulations of a midlatitude cirrus cloud system based on observations" -
Unterstrasser & Sölch 2014
"Optimisation of the simulation particle number in a Lagrangian ice microphysical model" -
Unterstrasser 2014
"Large-eddy simulation study of contrail microphysics and geometry during the vortex phase and consequences on contrail-to-cirrus transition" -
Unterstrasser 2016 (Atmos. Chem. Phys.)
"Properties of young contrails – a parametrisation based on large-eddy simulations" -
Brdar & Seifert 2018
"McSnow: A Monte‐Carlo Particle Model for Riming and Aggregation of Ice Particles in a Multidimensional Microphysical Phase Space" -
Shima et al. 2020 (Geosci. Model Dev.)
"Predicting the morphology of ice particles in deep convection using the super-droplet method: development and evaluation of SCALE-SDM 0.2.5-2.2.0, -2.2.1, and -2.2.2"