We consider a large class of nearest neighbor attractive stochastic interacting systems that includes the asymmetric simple exclusion, zero range, bricklayers' and the symmetric K-exclusion processes. We provide exact formulas that connect particle flux (or surface growth) fluctuations to the two-point function of the process and to the motion of the second class particle. Such connections have only been available for simple exclusion where they were of great use in particle current fluctuation investigations.
For the asymmetric simple exclusion process on the integers, the moments of the current are closely linked to the motion of second class particles REF .
Exact Connections between Current Fluctuations and the Second Class Particle in a Class of Deposition Models
Physics Mathematics