Dresden 2026 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 15: Focus Session: Large Deviations and Rare Events II
DY 15.7: Vortrag
Montag, 9. März 2026, 17:00–17:15, ZEU/0114
Classical nucleation theory for active non-conserved scalar field theories — •Michalis Chatzittofi1, Noah Ziethen1, Cesare Nardini2, and Michael Cates1 — 1DAMTP, Centre for Mathematical Sciences, University of Cambridge, Cambridge CB3 0WA, United Kingdom — 2Service de Physique de l’ Etat Condense, CNRS UMR 3680, CEA-Saclay, 91191 Gif-sur-Yvette, France
Classical nucleation theory (CNT) has been successfully used in equilibrium conserved theories to explain the behaviour of growing droplets. However, in non-equilibrium field theories such description is more challenging since the dynamics cannot be derived from a free-energy. In this work, we show that it is possible to generalize CNT for the case of out-of-equilibrium non-conserved field theories. By projecting onto the slow manifold of the dynamics, we propose a systematic recipe for deriving an exact analytical expression for the dynamics of the growing nucleus and the corresponding quasipotential. Our findings allow for analytical progress in the context of large deviations and can compliment numerical/machine learning approaches for finding instanton trajectories.
Keywords: Non-Equilibrium Statistical Physics; Large deviations theory; Active matter theories; Rare events; Classical Nucleation Theory