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

Sreedhar B. Dutta

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

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arxiv 0806.3642 v2 pith:43FUVYXW submitted 2008-06-23 cond-mat.stat-mech

Sreedhar B. Dutta This is my paper · ORCID

classification cond-mat.stat-mech

keywords initialstatesageingconditionslong-rangeclassesdependmodel

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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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A single time-dependent symmetry transformation is claimed to explain the known scaling phenomenology of physical ageing and to predict new finite-size plateau scalings.

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