Abstract
The Monte Carlo simulation of the critical behavior of low-dimensional magnets and multilayer structures based on anisotropic Heisenberg mode are presented. The aging and clustering effects are revealed in the critical relaxation of 2d XY-model from non-equilibrium initial states. The investigation of non-equilibrium critical behavior of multilayer structure which correspond to the nanoscale superlattice Co/Cr demonstrates that the aging can be observed in a wider temperature range than for bulk magnetic systems.
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J. Mayberry, K. Tauscher, and M. Pleimling, “Equilibrium and nonequilibrium properties of synthetic metamagnetic films: a Monte Carlo study,” Phys. Rev. B 90, 014438 (2014).
M. Acharyya, “Ising metamagnet driven by propagating magnetic field wave: non-equilibrium phases and transitions,” J. Magn. Magn. Mater. 382, 206–210 (2015).
P. Calabrese and A. Gambassi, “Ageing properties of critical systems,” J. Phys. A 38, R133–R193 (2005).
T. Mukherjee, M. Pleimling, and Ch. Binek, “Probing equilibrium by nonequilibrium dynamics: aging in Co/Cr superlattices,” Phys. Rev. B 82, 134425 (2010).
H. E. Stanley, “Scaling, universality, and renormalization: three pillars of modern critical phenomena,” Rev. Mod. Phys. 71, S358–S366 (1999).
V. V. Prudnikov, P. V. Prudnikov, and E. A. Pospelov, “Influence of disorder on ageing and memory effects in non-equilibrium critical dynamics of 3D Ising model relaxing from an ordered state,” J. Stat. Mech. 2016, 043303 (2016)
P. Calabrese, A. Gambassi, and F. Krzakala, “Critical ageing of Ising ferromagnets relaxing from an ordered state,” J. Stat. Mech. 2006, P06016 (2006).
H. K. Janssen, B. Schaub, and B. Schmittmann, “New universal short-time scaling behaviour of critical relaxation processes,” Z. Phys. B 73, 539–549 (1989).
P. V. Prudnikov, V. V. Prudnikov, and I. S. Popov, “Nonequilibrium aging effects in the critical behavior of structurally disordered planar magnets,” JETP Lett. 101, 539–544 (2015).
P. V. Prudnikov, V. V. Prudnikov, and M. A. Medvedeva, “Dimensional effects in ultrathin magnetic films,” JETP Lett. 100, 446–450 (2014).
P. V. Prudnikov, V. V. Prudnikov, M. A. Medvedeva, and N. I. Piskunova, “Dimensionality crossover in critical behaviour of ultrathin ferromagnetic films,” J. Magn. Magn. Matter 387, 77–82 (2015).
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Mamonova, M.V., Popov, I.S., Prudnikov, P.V. et al. Monte Carlo simulation of the non-equilibrium critical dynamics of low-dimensional magnetics and multilayer structures. Lobachevskii J Math 38, 944–947 (2017). https://doi.org/10.1134/S1995080217050249
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DOI: https://doi.org/10.1134/S1995080217050249