Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion

• Sunder Sethuraman ^[1] ; S. R. S. Varadhan ^[2]
  1. [1] University of Arizona

     University of Arizona

     Estados Unidos

     
  2. [2] New York University

     New York University

     Estados Unidos

     
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 41, Nº. 3, 1, 2013, págs. 1461-1512
• Idioma: inglés
• DOI: 10.1214/11-AOP703
• Texto completo no disponible (Saber más ...)
• Resumen

  • Laws of large numbers, starting from certain nonequilibrium measures, have been shown for the integrated current across a bond, and a tagged particle in one-dimensional symmetric nearest-neighbor simple exclusion [Ann. Inst. Henri Poincaré Probab. Stat. 42 (2006) 567–577]. In this article, we prove corresponding large deviation principles and evaluate the rate functions, showing different growth behaviors near and far from their zeroes which connect with results in [J. Stat. Phys. 136 (2009) 1–15].