Critical ageing correlators from Schrödinger-invariance

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 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.

arXiv commentLatex2e, 1+15 pages, 2 figures, 1 table. Final form

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Cited by in corpus (2)

• Short-time dynamics in phase-ordering kinetics
• Schrödinger-invariance in the voter model