# Collective effects and possible high temperature viscosity quantization in high temperature metallic liquids: theory and experiment

We introduce notions concerning locally preferred structures and discuss

recent experimental and numerical results on metallic fluids that suggest

the onset of cooperative dynamics as a liquid is supercooled to form a

glass.

We will further suggest that certain quantum effects may emerge in the

high temperature limit of general "classical fluids". Towards this end, we

will invoke the WKB approximation, extend standard kinetic theory by

taking into account a possible minimal quantum time scale, apply ideas

from transition state theory, and relate (via Planck's constant) the

thermodynamic entropy to periods of semi-classical trajectories. Taken

together, these will suggest that, on average, the extrapolated high

temperature viscosity of general liquids may tend to a value set by the

product of the particle number density n and Planck's constant h.

Experimental measurements of an ensemble of 23 metallic fluids indicate

that might indeed be the case; the extrapolated high temperature viscosity

of each of these liquids divided (for each respective fluid) by its value

of nh veers towards a Gaussian with an ensemble average value that is

close to unity up to an error of size 0.6%. We invoke similar ideas to

discuss other transport properties to suggest how simple behaviors may

appear including resistivity saturation and linear T resistivity may

appear naturally. This approach suggests that minimal time lags may be

present in general fluid dynamics.

- Last modified: 31/05/2015