Kinetics of the long-range spherical model

Abstract

The kinetic spherical model with long-range interactions is studied after a quench to $T<T_c$ or to $T=T_c$. For the two-time response and correlation functions of the order-parameter as well as for composite fields such as the energy density, the ageing exponents and the corresponding scaling functions are derived. The results are compared to the predictions which follow from local scale-invariance.

added "fluctuation-dissipation ratios"; fixed typos

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Cited by in corpus (15)

• Aging in the long-range Ising model
• Spherical model of growing interfaces
• On non-local representations of the ageing algebra
• Quantum aging and dynamical universality in the long-range $O(N\to \infty )$ model
• Non-local representations of the ageing algebra in higher dimensions
• Aging in two dimensional suspensions of rods as driven by Brownian diffusion
• The role of initial conditions in the ageing of the long-range spherical model
• Autocorrelation functions in phase-ordering kinetics from local scale-invariance
• Physical ageing from generalised time-translation-invariance
• Non-equilibrium relaxations: ageing and finite-size effects
• Asymmetric Langevin dynamics for the ferromagnetic spherical model
• Non-equilibrium Relaxation and Aging Scaling of the Coulomb and Bose Glass
• Non-markovian global persistence in phase-ordering kinetics
• Short-time dynamics in the 1D long-range Potts model
• On the predictive power of Local Scale Invariance