Non-universal critical aging scaling in three-dimensional Heisenberg antiferromagnets

Abstract

We numerically investigate the stationary and non-equilibrium critical dynamics in three-dimensional isotropic Heisenberg antiferromagnets. Since the non-conserved staggered magnetization couples dynamically to the conserved magnetization density, we employ a hybrid simulation algorithm that combines reversible spin precession with relaxational Kawasaki spin exchange processes. We measure the dynamic critical exponent and identify a suitable intermediate time window to obtain the aging scaling exponents. Our results support an earlier renormalization group prediction: While the critical aging collapse exponent assumes a universal value, the associated temporal decay exponent in the two-time spin autocorrelation function depends on the initial distribution of the conserved fields; here, specifically on the width of the initial spin orientation distribution.

arXiv comment6 pages, 4 figures; to appear in Phys. Rev. B

References in corpus (6)

• Ageing Properties of Critical Systems
• Critical Exponents of the Classical 3D Heisenberg Model: A Single-Cluster Monte Carlo Study
• Precise determination of critical exponents and equation of state by field theory methods
• Critical dynamics of the simple-cubic Heisenberg antiferromagnet RbMnF${}_3$: Extrapolation to q=0
• Autocorrelation exponent of conserved spin systems in the scaling regime following a critical quench
• Investigation on the critical dynamics of real magnetics models by computational physics methods

Cited by in corpus (7)

• Physical ageing from generalised time-translation-invariance
• Thermal critical dynamics from equilibrium quantum fluctuations
• Critical Dynamics of Anisotropic Antiferromagnets in an External Field
• Aging phenomena in the two-dimensional complex Ginzburg-Landau equation
• Discrete Laplacian Thermostat for Spin Systems with Conserved Dynamics
• Discrete Laplacian thermostat for flocks and swarms: the fully conserved Inertial Spin Model
• Short-time dynamics in phase-ordering kinetics