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.

15 pages; corrected some typos

References in corpus (2)

• Kinetics of the long-range spherical model
• Fluctuation-dissipation relations in critical coarsening: crossover from unmagnetized to magnetized initial states

Cited by in corpus (5)

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• Exactly solvable models of growing interfaces and lattice gases: the Arcetri models, ageing and logarithmic sub-ageing
• Aging Exponents for Nonequilibrium Dynamics following Quenches from Critical Point
• Short-time dynamics in phase-ordering kinetics