Schrödinger invariance in the voter model
By: Malte Henkel
From: Laboratoire de Physique et Chimie Théoriques (CNRS UMR 7019), Université de Lorraine Nancy, France
At: Building C1, room 1.4.14
[2026-04-20]
For the voter model with nearest-neighbor interactions, the exact correlations of the order parameter are obtained, both for a single time and for two times, as well as the two-time response function. The form of its explicit dynamical scaling functions, which are continuous functions of the spatial dimension d>0, is reproduced as a prediction of the non-equilibrium representations of the Schrödinger algebra, and is valid for models with dynamical exponent z=2 and for which the dominant noise source comes from the thermal bath. Therefore, aging in the voter model appears as a paradigm for relaxations in non-equilibrium critical dynamics, without detailed balance, and with upper critical dimension d*=2.