Superdiffusivity of Asymmetric Energy Model in Dimension One and Two

Abstract

We discuss an asymmetric energy model (AEM) introduced by Giardina et al. in \cite{7}. 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.

References in corpus (6)

• Exact scaling functions for one-dimensional stationary KPZ growth
• Scaling Limit for the Space-Time Covariance of the Stationary Totally Asymmetric Simple Exclusion Process
• Duality and exact correlations for a model of heat conduction
• $t^{1/3}$ Superdiffusivity of Finite-Range Asymmetric Exclusion Processes on $\mathbb{Z}$
• One-dimensional stochastic growth and Gaussian ensembles of random matrices
• $(\log t{)}^{2/3}$ law of the two dimensional asymmetric simple exclusion process

Cited by in corpus (8)

• Condensation in the inclusion process and related models
• Dynamics of condensation in the symmetric inclusion process
• Superdiffusivity of the 1D lattice Kardar-Parisi-Zhang equation
• Anomalous fluctuations for a perturbed Hamiltonian system with exponential interactions
• Self-duality of Markov processes and intertwining functions
• A Unified Interface Model for Dissipative Transport of Bosons and Fermions
• Conservative interacting particles system with anomalous rate of ergodicity
• The inclusion process: duality and correlation inequalities