Renormalization-group theory for cooling first-order phase transitions in Potts models

Abstract

We develop a dynamic field-theoretic renormalization-group (RG) theory for the cooling first-order phase transitions in the Potts model. It is suggested that the well-known imaginary fixed points of the $q$-state Potts model for $q>10/3$ in the RG theory are the origin of the dynamic scaling found recently, apart from the logarithmic corrections. This indicates that the real and imaginary fixed points of the Potts model are both physical and control the scalings of the continuous and discontinuous phase transitions, respectively, of the model. Our one-loop results for the scaling exponents are already not far away from the numerical results. Further, the scaling exponents depend on $q$ slightly only, in consistence with the numerical results. Therefore, the theory is believed to provide a natural explanation of the dynamic scaling including the scaling exponents and their scaling laws for various observables in the Potts model.

6 pages, no figure

References in corpus (5)

• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Finite-size scaling at first-order quantum transitions
• Non-equilibrium Characterization of Spinodal Points using Short Time Dynamics
• Dynamic off-equilibrium transition in systems slowly driven across thermal first-order phase transitions
• Finite-size scaling at the first-order quantum transitions of quantum Potts chains

Cited by in corpus (2)

• Dynamic finite-size scaling at first-order transitions
• Observation of heat scaling across a first-order quantum phase transition in a spinor condensate