Ep. 48: On the velocity, randomness and transience of liquids and gases.
We usually think of fluids and gases as "continuus" mediums, without any visible underlying structure. We know this is not true, of course, they are made from atoms and molecules. But the molecules are so many (10 with 24 zeros in grams of water!), and their microscopic motions are so quick, random and fleeting, that on everyday scales regarding them as a continuum medium is a good description. The microscopic interactions of fluids manifest themselves in a pressure, the "push" equilibrated molecule exert on any finite volume, which is described by thermodynamics, as well as friction-type forces known as viscosity and diffusion, manifestations of incomplete thermal equilibrium and drivers of the increase in disorder (entropy). When the mean free path is much shorter than the gradients of temperature and particle density, this friction becomes small and a fluid flows freely, which can result in turbulent phenomena. This is what we thought we knew since hydrodynamics and statistical mechanics were developed in the last few centuries. Collisions of protons nuclei at very high energy, conducted at CERN, have thrown some of these assumptions into doubt. It was already remarkable that viscosity of the fluid made in these collisions, thought to be a plasma of quarks and gluons (constituents of protons and neutrons), is so small w.r.t. pressure-type forces. What is even more remakrable is that fluid like behavior persists for very small collision systems, proton-proton collisions with as few as 50 particles. Moreover, it seems turbulent vortices which arise in such collisions impart some of the angular momentum to the microscopic "spin" of these particles. The fluid is "close to perfect" but the particles are "few enough" to "talk directly" to it's vortices! Furthermore, even "large" objects such as nuclei seem to emerge from these collisions in thermal equilibrium, although the temperature inferred from their abundance should be big enough to melt nuclei into the constituent protons and neutrons. As of yet, these phenomena are without a consistent theoretical description. The purpose of my Ulam NAWA fellowship is to try to explain such phenomena. It might be related to an ambitious conceptual goal, since thermodynamics and statistical mechanics (formulated by Gibbs and Boltzmann) and the dynamics of fluids, although they are supposed to be related, are not really mutually consistent.
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