Journal of Statistical Physics

, Volume 127, Issue 2, pp 431–455

Exact Connections between Current Fluctuations and the Second Class Particle in a Class of Deposition Models


DOI: 10.1007/s10955-007-9291-3

Cite this article as:
Balázs, M. & Seppäläinen, T. J Stat Phys (2007) 127: 431. doi:10.1007/s10955-007-9291-3


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.


simple exclusion zero range bricklayers’, current fluctuations second class particle space-time covariance two-point function diffusivity 

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Mathematics DepartmentUniversity of Wisconsin-MadisonMadisonUSA
  2. 2.Sztochasztika TanszékMatematika IntézetBudapestHungary

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