The Exclusion Process

Abstract

The exclusion process differs from the spin systems which are the subject of the previous five chapters in that two (rather than one) coordinates of η₁ change at a time. In order to describe this process, let p(x, y) be the transition probabilities for a discrete time Markov chain on the countable set 5:

$$ p(x,y) \geq 0,{\text{ }}and{\text{ }}\sum\limits_y {p(x,y) = 1.} $$