Why is it that most solidification does not begin until the temperature falls somewhat below the equilibrium

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Why is it that most solidification does not begin until the temperature falls somewhat below the equilibrium melting temperature (i.e., undercooling is required)?
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Materials and process in manufacturing

ISBN: 978-0471656531

9th edition

Authors: E. Paul DeGarmo, J T. Black, Ronald A. Kohser

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