Abstract
Within the universality class of ferromagnetic vector models withO(n) symmetry and purely dissipative dynamics, we study the non-equilibrium critical relaxationfrom a magnetized initial state. Transverse correlation and response functions areexactly computed for Gaussian fluctuations and in the limit of infinite numbern of components of the order parameter. We find that the fluctuation–dissipation ratios(FDRs) for longitudinal and transverse modes differ already at the Gaussian level.In these two exactly solvable cases we completely describe the crossover fromthe short-time to the long-time behaviour, corresponding to a disordered and amagnetized initial condition, respectively. The effects of non-Gaussian fluctuationson longitudinal and transverse quantities are calculated in the first order in theϵ-expansion(ϵ = 4−d) and reliable three-dimensional estimates of the two FDRs are obtained.
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