Tricritical behavior of nonequilibrium Ising spins in fluctuating environments

Physical Review. E
Jong-Min Park, Jae Dong Noh

Abstract

We investigate the phase transitions in a coupled system of Ising spins and a fluctuating network. Each spin interacts with q neighbors through links of the rewiring network. The Ising spins and the network are in thermal contact with the heat baths at temperatures T_{S} and T_{L}, respectively, so the whole system is driven out of equilibrium for T_{S}≠T_{L}. The model is a generalization of the q-neighbor Ising model [A. Jędrzejewski et al., Phys. Rev. E 92, 052105 (2015)PLEEE81539-375510.1103/PhysRevE.92.052105], which corresponds to the limiting case of T_{L}=∞. Despite the mean-field nature of the interaction, the q-neighbor Ising model was shown to display a discontinuous phase transition for q≥4. Setting up the rate equations for the magnetization and the energy density, we obtain the phase diagram in the T_{S}-T_{L} parameter space. The phase diagram consists of a ferromagnetic phase and a paramagnetic phase. The two phases are separated by a continuous phase transition belonging to the mean-field universality class or by a discontinuous phase transition with an intervening coexistence phase. The equilibrium system with T_{S}=T_{L} falls into the former case while the q-neighbor Ising model falls into the latter case. A...Continue Reading

References

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Jan 24, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nicholas BorchersR K P Zia
Dec 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Arkadiusz JȩdrzejewskiKatarzyna Sznajd-Weron
Feb 13, 2016·Physical Review. E·Pyoung-Seop ShimJae Dong Noh

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Citations

Jan 20, 2018·Physical Review. E·Anna ChmielKatarzyna Sznajd-Weron
Jan 20, 2018·Physical Review. E·Arkadiusz JędrzejewskiKatarzyna Sznajd-Weron
Feb 6, 2020·Chaos·Arkadiusz Jędrzejewski, Katarzyna Sznajd-Weron
Sep 19, 2020·Physical Review. E·T Gradowski, A Krawiecki

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