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

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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.

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Authors and Affiliations

  1. Mathematics Department, University of Wisconsin-Madison, Madison, WI, USA

    Márton Balázs & Timo Seppäläinen

  2. Sztochasztika Tanszék, Matematika Intézet, BME H épület, Egry József u. 1., V. 7., 1111, Budapest, Hungary

    Márton Balázs

Authors
  1. Márton Balázs
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  2. Timo Seppäläinen
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Correspondence to Márton Balázs.

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MSC: 60K35, 82C41

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Balázs, M., Seppäläinen, T. Exact Connections between Current Fluctuations and the Second Class Particle in a Class of Deposition Models. J Stat Phys 127, 431–455 (2007). https://doi.org/10.1007/s10955-007-9291-3

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  • DOI: https://doi.org/10.1007/s10955-007-9291-3

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