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Mechanics

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The diagram shows the structure of two condensed phases, (a) is a solid and (b) a liquid. The solid has a regular three-dimensional spatial array of atoms and the liquid, which has a similar density, has a disordered structure. In the liquid phase, the mean free path of the atoms is on the order of the atom diameter and instead of behaving as free particles as do atoms in a gas, the atoms in the liquid are always interacting with several neighbors. This will alter the temperature dependence of the viscosity.

Moving parts of the liquid with respect to other parts requires that the interatomic attractive forces between these regions be overcome by the application of shears. The thermal motion of the liquid atoms will determine how large these forces need to be. The probability of an atom getting enough energy from the thermal motion of its neighbors to move to another location increases exponentially with increasing temperature. The viscosity of the liquid, therefore, decreases as the liquid temperature increases and has the form:
m(T) = m0exp(E/kT) or Ln m(T) = Ln m0 + (E/kT)

From: van Vlack,
"Elements of Materials Science and Engineering," Addison Wesley (1989)