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Deriving the JMAK Equation Using the Time Cone Method
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The JMAK equation (also known as the Avrami equation) is used to model the phase fraction transformed as a function of time. This video will show how we can derive the JMAK equation using the time cone method developed by John Cahn.
00:00 Introduction
01:50 Motivation
05:50 What is a time cone
08:32 How do we use the time cone
11:25 Connect the time cone to the phase fraction transformed
13:48 Calculate the probability from the time cone
15:51 Calculate the nucleation volume
17:28 Put everything together to get the JMAK equation
#materialsscience #manim #phasetransformation #timeconemethod #johncahn #kinetics
00:00 Introduction
01:50 Motivation
05:50 What is a time cone
08:32 How do we use the time cone
11:25 Connect the time cone to the phase fraction transformed
13:48 Calculate the probability from the time cone
15:51 Calculate the nucleation volume
17:28 Put everything together to get the JMAK equation
#materialsscience #manim #phasetransformation #timeconemethod #johncahn #kinetics
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