In this paper, we solve a simple model that supports a dynamic phase transition and show conditions for the existence of the transition. we study dynamical phase transitions of a random walker which moves on a one-dimensional lattice with reflecting boundaries. The dynamical activity, which is defined as the number of configuration changes in a dynamical trajectory is considered as the order parameter. We study the dynamical phases in the long-time limit by calculating the scaled cummulant generating function of the activity. It turs out that the system consists of six dynamical phases with both continuous and discontinuous phase transitions. Numerical investigations confirm our analitycal results in the thermodynamic limit.
Masharian, S. R. (2024). The study of dynamical phase transitions of a random walker on a one- dimensional lattice with reflecting boundaries. Journal of Research on Many-body Systems, (), -. doi: 10.22055/jrmbs.2024.18980
MLA
Seyedeh Razieh Masharian. "The study of dynamical phase transitions of a random walker on a one- dimensional lattice with reflecting boundaries". Journal of Research on Many-body Systems, , , 2024, -. doi: 10.22055/jrmbs.2024.18980
HARVARD
Masharian, S. R. (2024). 'The study of dynamical phase transitions of a random walker on a one- dimensional lattice with reflecting boundaries', Journal of Research on Many-body Systems, (), pp. -. doi: 10.22055/jrmbs.2024.18980
VANCOUVER
Masharian, S. R. The study of dynamical phase transitions of a random walker on a one- dimensional lattice with reflecting boundaries. Journal of Research on Many-body Systems, 2024; (): -. doi: 10.22055/jrmbs.2024.18980
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