Fluctuating Multiscale Mass Action Law

Abstract

The classical mass action law is put into the context of multiscale thermodynamics. The emergence of time irreversibility in mechanics becomes in chemical kinetics the emergence of time reversibility in the completely irreversible gradient time evolution of chemically reacting systems. As in mechanics, this type of symmetry breaking is a tool for extracting an overall pattern in the time evolution. The emerging pattern represents then a reduced model of the time evolution. Both extended and the classical mass action laws are also lifted to kinetic equations that take into account inertia, fluctuations, and external forces. By a subsequent reduction to moments we form a Grad-type hierarchy for chemical kinetics."Anyone whose goal is 'something higher' must expect someday to suffer vertigo. What is vertigo? Fear of falling? No, Vertigo is something other than fear of falling. It is the voice of the emptiness below us which tempts and lures us, it is the desire to fall, against which, terrified, we defend ourselves."