Jun 6, 2016
commented on 79 Percent Increase in Link's Boardings
Actually the entire point of Anderson's paper is that atomic arrangements break symmetry at a certain level that comes from the number of particles in the interaction being sampled. So far from "diminishing returns"–which is a relationship where there is a decaying function, i.e. with each additional length of track you get a decayed amount of new riders, until you hit some point where you have to add thousands of miles just to get one new rider– Anderson's paper has to deal with equilibrium rate equations, that is to say why does your ice melt into liquid and not stay at some half ice/half liquid undetermined concoction. Or why does your bread not decompose into sugars and proteins. Or why if you mix salt into a glass of water it dissolves.
What Charles is suggesting is that we are at a moment where the salt is dissolving and not sinking to the bottom. Where by adding just a few miles to a long line, you force the system to change it's natural equilibrium state- and quite forcefully towards a much higher carrying capacity.