use of analogy here never got to the clear one to one map
between the two formal models elements
that is until the analogy fell apart
because a market system is not analogous to a classical thermo dynamic ideal gas system
its more like granular systems that are indeed path dependent hysterisus ridden etc etc
the intent is clear the researchers wanted certain propertties found in the classical gas to hold in a real free market system
because it made that free market system
Bof APS