Strong Asymmetric Limit of the Quasi-Potential of the Boundary Driven Weakly Asymmetric Exclusion Process
โ Scribed by Lorenzo Bertini; Davide Gabrielli; Claudio Landim
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 357 KB
- Volume
- 289
- Category
- Article
- ISSN
- 0010-3616
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๐ SIMILAR VOLUMES
## Abstract We investigate macroscopic properties of the onedimensional weakly asymmetric nearest neighbour exclusion process for long times. We show that the particle system can be approximated by the solution of a discrete version of the viscid BURGERS equation, but with random initial datum. In
It is well-known that the hydrodynamic limit of the asymmetric simple exclusion is governed by a viscousless Burgers equation in the Euler scale [15]. We prove that, in the same scale, the next-order correction is given by a viscous Burgers equation up to a fixed time T for dimension d โฅ 3 provided