Critical ageing correlators from Schrödinger-invariance
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915655191625728 |
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| author | Henkel, Malte Stoimenov, Stoimen |
| author_facet | Henkel, Malte Stoimenov, Stoimen |
| contents | 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 Schrödinger-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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_22301 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Critical ageing correlators from Schrödinger-invariance Henkel, Malte Stoimenov, Stoimen Statistical Mechanics High Energy Physics - Theory Mathematical Physics 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 Schrödinger-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. |
| title | Critical ageing correlators from Schrödinger-invariance |
| topic | Statistical Mechanics High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2505.22301 |