Newtonian mechanics failures

It has indeed already become obvious that the rules of Newtonian mechanics are insufficient for the full understanding of statistical phenomena. The division of molecular states into ranges of equal probability needed the assumption that equal ranges of momentum rather than of energy should be chosen (p. 31). There was no obvious reason for this. Even more striking is the complete failure of mechanics to account for the non-contribution of certain degrees of freedom to specific heats, and for the variation with temperature of the number of degrees of freedom which do so contribute. 

The theoretical basis for classical mechanics, in the form we know it today, was laid by Newton in the seventeenth century. The theory had an unprecedented success in explaining virtually all observed phenomena pertaining to macroscopic systems. The failure of Newtonian mechanics to describe systems on an atomic and molecular scale was not realized to its full extent until toward the end of the nineteenth century, when the atomic structure of... 

The mechanism of the film failure is due to the limiting shear stress of the fluid film in the nano-scale [34,53]. According to Newtonian fluid theory ... 

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