Abstract
In order to gain some insight into the scaling properties of the Kardar–Parisi–Zhang (KPZ) equation, the large deviation function f(v) for the distribution of growth velocities was calculated for one particular model of the KPZ class, the asymmetric exclusion process (ASEP) [1,2]. First we shall summarize some analytical results. For large systems, the shape of f(v) is independent of the microscopic details of the model within a scaling region. We conjecture that it is universal to all models in the KPZ class. This would imply that some special ratios of velocity cumulants are also universal. In order to check the theory against numerical measurements, some Monte Carlo simulations have been performed for the ASEP with different random-number generators.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
