Superdiffusivity of Asymmetric Energy Model in Dimension One and Two
نویسنده
چکیده
We discuss an asymmetric energy model (AEM) introduced by Giardina et al. in [10]. This model is expected to belong to the KPZ class. We obtain lower bounds for the diffusion coefficient. In particular, the diffusion coefficient is diverging in dimension one and two as it is expected in the KPZ picture.
منابع مشابه
3 1 Ja n 20 02 Superdiffusivity of asymmetric exclusion process in dimensions one and two
We prove that the diffusion coefficient for the asymmetric exclusion process diverges at least as fast as t 1/4 in dimension d = 1 and (log t) 1/2 in d = 2. The method applies to nearest and non-nearest neighbor asymmetric exclusion processes.
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