Sr. No.	Phenomena/Property		Deterministic Models		Probabilistic Models			References
Sr. No.	Phenomena/Property		Ductile Phase	Glass	Ductile Phase	Glass	Comments	References
1	Nucleation (Heterogeneous)		√	N/A	√	N/A		[236]
2	Growth		√	√	√			[215] [254]
3	Growth Mechanism (Interdependence theory/Complex inter diffusion tensor)		√	N/A	×	×		[215] [260]
4	Different types of undercoolings (M-H Model)		√	√	N/A	N/A		[261]
5	Growth Kinetics		×	×	√			[196]
6	Velocity of Growth		√	√	√	√		[196] [237] [238]
7	CET		√	N/A	√	N/A	Deterministic models can model ductile phase in 2D only	[196] [239] [262]
8	Impingement after CET		√	N/A	√	N/A	Deterministic models can model ductile phase by J M A K Correction, Geometrical and Random Grain Arrangement Models only	[196] [210] [240] [241] [242]
9	Grain Selection	Qualitatively	×	×	√	N/A	Probabilistic models can model ductile phase by MC only	[196]
9	Grain Selection	Quantitatively	×	×	√	N/A	Probabilistic models can model ductile phase by CA only	[196]
10	Columnar dendrite arm branching		×	×	×	√		[196] [200]
11	Extension of grain		×	×	×	√		[197] [200]
12	CET in 3D		×	N/A	√	N/A		[197] [199] [263]
13	Physical Basis		N/A	N/A	√	√	Probabilistic models can form the basis of modelling by MC	[196] [200]
13	Physical Basis		N/A	N/A	√	√	Probabilistic models form the basis of modelling by CA	[196] [200]
14	Quantitative		√	√	√	√	Probabilistic models can only model quantitatively employing CA method	[196] [200]
15	Liquid-Liquid Transition (LLT)		√	√	N/A	N/A		[16] [17] [18]
16	Devitrification		√	√	√	√	Probabilistic models can model ductile and glass phase by 2D CA	[264] [265]