# Short-time dynamics in phase-ordering kinetics

Source: [Short-time dynamics in phase-ordering kinetics](<https://www.sota2.com/research/paper/6909887d3ef7ccd74e5e5ba3>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-03-17T05:00:04.157Z

Authors: Leila Moueddene, Malte Henkel

Published: 2025-11-01T11:12:24.000Z

## 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 $\\Theta=0.190({5})$ and $\\Theta=-0.542({5})$, 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 $\\Theta=0.39({1})$ in agreement with the scaling relation $\\lambda=d-2\\Theta$.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2511.00498>)

[PDF](<https://arxiv.org/pdf/2511.00498.pdf>)
