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Pré-Publication, Document De Travail Année : 2024

Meta-Schrödinger and meta-conformal symmetries in the non-equilibrium dynamics of the directed spherical model

Résumé

New scaling regimes exist, for large distances and sufficiently long-ranged initial conditions, in the kinetics of directed spin models. The spatial length scales are larger than those found in spatially isotropic dynamic scaling. Their dynamical symmetries are given by the meta-conformal and the meta-Schrödinger algebras. These facts are illustrated through the exact solution of the directed spherical model at T ≤ T c and compared with the 1D directed Glauber-Ising model at T = 0.
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Dates et versions

hal-04409987 , version 1 (22-01-2024)

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  • HAL Id : hal-04409987 , version 1

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Stoimen Stoimenov, Malte Henkel. Meta-Schrödinger and meta-conformal symmetries in the non-equilibrium dynamics of the directed spherical model. 2024. ⟨hal-04409987⟩
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