Abstract
We investigate the phase transitions of the -state Brownian Potts model in two dimensions (2D) comprising Potts spins that diffuse like Brownian particles and interact ferromagnetically with other spins within a fixed distance. With extensive Monte Carlo simulations we find a continuous phase transition from a paramagnetic to a ferromagnetic phase even for . This is in sharp contrast to the existence of a discontinuous phase transition in the equilibrium -state Potts model in 2D with . We present detailed numerical evidence for a continuous phase transition and argue that diffusion generated dynamical positional disorder suppresses phase coexistence leading to a continuous transition.
2 More- Received 28 February 2022
- Accepted 4 May 2022
DOI:https://doi.org/10.1103/PhysRevE.105.054144
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