Schr\"odinger-invariance in phase-ordering kinetics
Stoimen Stoimenov, Malte Henkel
TL;DR
This paper introduces a new non-equilibrium representation of the Schr"odinger algebra to derive the scaling forms of correlators in phase-ordering kinetics with dynamical exponent z=2.
Contribution
It presents a novel non-equilibrium Schr"odinger algebra framework to analyze correlators in phase-ordering kinetics.
Findings
Derived the generic shape of correlators in non-equilibrium phase-ordering.
Established a new representation of the Schr"odinger algebra for non-equilibrium systems.
Connected correlator scaling forms to Schr"odinger invariance.
Abstract
The generic shape of the single-time and two-time correlators in non-equilibrium phase-ordering kinetics with is obtained from the co-variance of the four-point response functions. Their non-equilibrium scaling forms follow from a new non-equilibrium representation of the Schr\"odinger algebra.
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Taxonomy
TopicsModel Reduction and Neural Networks · Numerical methods for differential equations · Machine Learning in Materials Science