Short-time dynamics in phase-ordering kinetics
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917337065586688 |
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| author | Moueddene, Leila Henkel, Malte |
| author_facet | Moueddene, Leila Henkel, Malte |
| contents | 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 $λ=d-2Θ$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_00498 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Short-time dynamics in phase-ordering kinetics Moueddene, Leila Henkel, Malte Statistical Mechanics High Energy Physics - Theory Mathematical Physics Quantum Physics 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 $λ=d-2Θ$. |
| title | Short-time dynamics in phase-ordering kinetics |
| topic | Statistical Mechanics High Energy Physics - Theory Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2511.00498 |