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arXiv · 2505.22301

Critical ageing correlators from Schr\"odinger-invariance

Malte Henkel·Stoimen Stoimenov
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Abstract

For ageing systems, quenched onto a critical temperature $T=T_c$ such that the dominant noise comes from the thermal bath, with a non-conserved order-parameter and in addition with dynamical exponent ${z}=2$, the form of the two-time auto-correlator as well as the time-space form of the single-time correlator are derived from Schr\"odinger-invariance, generalised to non-equilibrium ageing. These findings reproduce the exact results in the $1D$ Glauber-Ising model at $T=0$ and the critical spherical model in $d>2$ dimensions.

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Malte Henkel, Stoimen Stoimenov. 2025-05-28. Critical ageing correlators from Schr\"odinger-invariance. https://doi.org/10.1088/1751-8121%2Fae2075

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