Derives generic forms of single- and two-time correlators in z=2 phase-ordering kinetics from covariance under a new non-equilibrium Schrödinger algebra representation.
On the identification of quasiprimary scaling operators in local scale-invariance
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abstract
The relationship between physical observables defined in lattice models and the associated (quasi-)primary scaling operators of the underlying field-theory is revisited. In the context of local scale-invariance, we argue that this relationship is only defined up to a time-dependent amplitude and derive the corresponding generalizations of predictions for two-time response and correlation functions. Applications to non-equilibrium critical dynamics of several systems, with a fully disordered initial state and vanishing initial magnetization, including the Glauber-Ising model, the Frederikson-Andersen model and the Ising spin glass are discussed. The critical contact process and the parity-conserving non-equilibrium kinetic Ising model are also considered.
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cond-mat.stat-mech 2years
2025 2verdicts
UNVERDICTED 2representative citing papers
Scaling functions for correlators in non-equilibrium critical dynamics with z=2 are predicted from a new time-dependent non-equilibrium Schrödinger algebra representation and confirmed in exactly solvable ageing models.
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Schr\"odinger-invariance in phase-ordering kinetics
Derives generic forms of single- and two-time correlators in z=2 phase-ordering kinetics from covariance under a new non-equilibrium Schrödinger algebra representation.
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Schr\"odinger-invariance in non-equilibrium critical dynamics
Scaling functions for correlators in non-equilibrium critical dynamics with z=2 are predicted from a new time-dependent non-equilibrium Schrödinger algebra representation and confirmed in exactly solvable ageing models.