Schr\"odinger-invariance in non-equilibrium critical dynamics

Malte Henkel; Stoimen Stoimenov

Schr\"odinger-invariance in non-equilibrium critical dynamics

Statistical Mechanics 2026-05-21 v2 High Energy Physics - Theory Mathematical Physics math.MP

Authors: Malte Henkel , Stoimen Stoimenov

Abstract

The scaling functions of single-time and two-time correlators in systems undergoing non-equilibrium critical dynamics with dynamical exponent ${z}=2$ are predicted from a new time-dependent non-equilibrium representation of the Schr\"odinger algebra. These explicit predictions are tested and confirmed in the ageing of several exactly solvable models.

Keywords

schrödinger equation schrödinger operators critical phenomena

Cite

@article{arxiv.2510.25429,
  title  = {Schr\"odinger-invariance in non-equilibrium critical dynamics},
  author = {Malte Henkel and Stoimen Stoimenov},
  journal= {arXiv preprint arXiv:2510.25429},
  year   = {2026}
}

Comments

17 pages, 3 figures. Conference proceedings LT-16, based on arXiv:2504.16857, arXiv:2505.22301, arXiv:2509.11654. Improves by more long list of models (minor amendment)

Schr\"odinger-invariance in non-equilibrium critical dynamics

Abstract

Keywords

Cite

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