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

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

2008-06-23

arxiv.org/abs/0806.3642v2

J. Phys. A: Math. Theor. 41 (2008) 395002

Physics

Condensed Matter

Statistical Mechanics

15 pages; corrected some typos

Scientific paper

10.1088/1751-8113/41/39/395002

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.

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