Novel considerations about the non-equilibrium regime of the tricritical point in a metamagnetic model: localization and tricritical exponents

Abstract

We have investigated the time-dependent regime of a two-dimensional metamagnetic model at its tricritical point via Monte Carlo simulations. First of all, we obtained the temperature and magnetic field corresponding to the tricritical point of the model by using a refinement process based on optimization of the coefficient of determination in the log-log fit of magnetization decay as function of time. With these estimates in hand, we obtained the dynamic tricritical exponents $\theta$ and $z$ and the static tricritical exponents $\nu$ and $\beta$ by using the universal power-law scaling relations for the staggered magnetization and its moments at early stage of the dynamic evolution. Our results at tricritical point confirm that this model belongs to the two-dimensional Blume-Capel model universality class for both static and dynamic behaviors, and also they corroborate the conjecture of Janssen and Oerding for the dynamics of tricritical points.

13 pages, 6 figures

References in corpus (2)

• Generalized Metropolis dynamics with a generalized master equation: An approach for time-independent and time-dependent Monte Carlo simulations of generalized spin systems
• Time-dependent Monte Carlo simulations of the critical and Lifshitz points of the ANNNI model

Cited by in corpus (10)

• Metastable states in the J1-J2 Ising model
• Nonequilibrium scaling explorations on a 2D Z(5)-symmetric model
• An alternative method to characterize first- and second-order phase transitions in surface reaction models
• Unveiling the ZGB model with $CO$ desorption: a single model with two universality classes?
• Non-equilibrium critical dynamics of the two-dimensional Ashkin-Teller model at the Baxter line
• Highly detailed computational study of a surface reaction model with diffusion: four algorithms analyzed via time-dependent and steady-state Monte Carlo simulations
• Numerical exploration of the Aging effects in spin systems
• First numerical evidence of Janssen-Oerding's prediction in a three-dimensional spin model far from equilibrium
• Investigating the nonequilibrium aspects of long-range Potts model: refinement of critical temperatures and raw exponents
• Short-time dynamics in phase-ordering kinetics