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Journal Article

Aging in the Long-Range Ising Model

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Henkel,  Malte
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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1906.11815.pdf
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Citation

Christiansen, H., Majumder, S., Henkel, M., & Janke, W. (2020). Aging in the Long-Range Ising Model. Physical Review Letters, 125(18): 180601. doi:10.1103/PhysRevLett.125.180601.


Cite as: http://hdl.handle.net/21.11116/0000-0007-F46B-E
Abstract
The current understanding of aging phenomena is mainly confuted to the study of systems with short-ranged interactions. Little is known about the aging of long-ranged systems. Here, the aging in the phase-ordering kinetics of the two-dimensional Ising model with power-law long-range interactions is studied via Monte Carlo simulations. The dynamical scaling of the two-time spin-spin autocorrelator is well described by simple aging for all interaction ranges studied. The autocorrelation exponents are consistent with lambda = 1.25 in the effectively short-range regime, while for stronger long-range interactions the data are consistent with lambda = d/2 = 1. For very long-ranged interactions, strong finite-size effects are observed. We discuss whether such finite-size effects could be misinterpreted phenomenologically as subaging.