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Anomalous Fluctuations for a Perturbed Hamiltonian System with Exponential Interactions

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Abstract

A one-dimensional Hamiltonian system with exponential interactions perturbed by a conservative noise is considered. It is proved that energy superdiffuses and upper and lower bounds describing this anomalous diffusion are obtained.

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Author notes

  1. Patrícia Gonçalves

    Present address: Departamento de Matemática, Pontifícia Universidade Católica do Rio de Janeiro, PUC-RIO, Rua Marquês de São Vicente, no. 225, 22453-900, Gávea, Rio de Janeiro, Brazil

Authors and Affiliations

  1. Laboratoire J.A. Dieudonné, UMR-CNRS, Université de Nice Sophia-Antipolis, 7351 Parc Valrose, 06108, Nice Cedex 02, France

    Cédric Bernardin

  2. CMAT, Centro de Matemática da Universidade do Minho, Campus de Gualtar, 4710-057, Braga, Portugal

    Patrícia Gonçalves

Authors
  1. Cédric Bernardin
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  2. Patrícia Gonçalves
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Correspondence to Patrícia Gonçalves.

Additional information

Communicated by H. Spohn

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Bernardin, C., Gonçalves, P. Anomalous Fluctuations for a Perturbed Hamiltonian System with Exponential Interactions. Commun. Math. Phys. 325, 291–332 (2014). https://doi.org/10.1007/s00220-013-1860-5

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  • DOI: https://doi.org/10.1007/s00220-013-1860-5

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