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arXiv · 2511.00498

Short-time dynamics in phase-ordering kinetics

Leila Moueddene·Malte Henkel
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Abstract

Short-time dynamics in the $2D$ Blume-Capel model, with a non-conserved order-parameter and short-ranged interactions, is analysed. For non-equilibrium dynamics, both at a critical point in the $2D$ Ising universality class and at the tricritical point, we reproduce the values $Θ=0.190({5})$ and $Θ=-0.542({5})$, respectively, of the critical initial slip exponent. These agree with more early estimates and with the Janssen-Schaub-Schmittmann scaling relation. In phase-ordering kinetics, after a quench into the ordered phase, we establish the validity of short-time dynamics. In the $2D$ Ising universality class, we find $Θ=0.39({1})$ in agreement with the scaling relation $λ=d-2Θ$.

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Leila Moueddene, Malte Henkel. 2025-11-19. Short-time dynamics in phase-ordering kinetics. https://doi.org/10.1007/s10773-025-06205-0

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