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Journal of Statistical Physics

, Volume 127, Issue 2, pp 431–455 | Cite as

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

  • Márton Balázs
  • Timo Seppäläinen
Article

Abstract

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.

Keywords

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

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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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