Kinetics of the long-range spherical model

Florian Baumann; Malte Henkel; Sreedhar B. Dutta

Kinetics of the long-range spherical model

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arxiv cond-mat/0703445 v2 pith:VKTYO64T submitted 2007-03-16 cond-mat.stat-mech hep-thmath-phmath.MP

Florian Baumann , Sreedhar B. Dutta , Malte Henkel This is my paper · ORCID

classification cond-mat.stat-mechhep-thmath-phmath.MP

keywords functionslong-rangemodelsphericalageingcomparedcompositecorrelation

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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.

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Physical ageing from generalised time-translation-invariance
cond-mat.stat-mech 2025-04 conditional novelty 5.0 of 10

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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