Universality in the Models of Interacting Particles

Student: Kashaeva Gulnur

Educational Programme: Mathematics and Mathematical Physics (Master)

Final Grade: 7

Year of Graduation: 2019

The paper considers a ZRP model for a system of particles on a lattice. With the help of the theory of Markov chains, a stationary state of the system was constructed and its properties were investigated. In the limit, when the size of the system tends to infinity, theoretical assumptions about the relationship between the interface grow rate corrections and the dimensional constants of the theory, which were originally proposed for the KPZ equation, were tested. It has been confirmed that these assumptions are fulfilled for the ZRP model.

Full text (added June 3, 2019)

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