The role of initial conditions in the ageing of the long-range spherical model

Abstract

The kinetics of the long-range spherical model evolving from various initial states is studied. In particular, the large-time auto-correlation and -response functions are obtained, for classes of long-range correlated initial states, and for magnetized initial states. The ageing exponents can depend on certain qualitative features of initial states. We explicitly find the conditions for the system to cross over from ageing classes that depend on initial conditions to those that do not.

arXiv comment15 pages; corrected some typos

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Cited by in corpus (8)

• Spherical model of growing interfaces
• Ageing in bosonic particle-reaction models with long-range transport
• Physical ageing from generalised time-translation-invariance
• Exactly solvable models of growing interfaces and lattice gases: the Arcetri models, ageing and logarithmic sub-ageing
• Non-equilibrium Relaxation and Aging Scaling of the Coulomb and Bose Glass
• Initial Correlation Dependence of Aging in Phase Separating Solid Binary Mixtures and Ordering Ferromagnets
• Aging Exponents for Nonequilibrium Dynamics following Quenches from Critical Point
• Short-time dynamics in phase-ordering kinetics