The kinetic spherical model in a magnetic field

Abstract

The long-time kinetics of the spherical model in an external magnetic field and below the equilibrium critical temperature is studied. The solution of the associated stochastic Langevin equation is reduced exactly to a single non-linear Volterra equation. For a sufficiently small external field, the kinetics of the magnetization-reversal transition from the metastable to the ground state is compared to the ageing behaviour of coarsening systems quenched into the low-temperature phase. For an oscillating magnetic field and below the critical temperature, we find evidence for the absence of the frequency-dependent dynamic phase transition, which was observed previously to occur in Ising-like systems.

26 pages, 12 figures

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• Aging and fluctuation-dissipation ratio for the diluted Ising Model
• Scaling of the magnetic linear response in phase-ordering kinetics
• Aging at Criticality in Model C Dynamics
• Relaxation and overlap probability function in the spherical and mean spherical model
• Fluctuation Cumulant Behavior for the Field-Pulse Induced Magnetisation-Reversal Transition in Ising Models
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Cited by in corpus (13)

• Local scale-invariance and ageing in noisy systems
• The non-equilibrium phase transition of the pair-contact process with diffusion
• Scaling of the linear response in simple ageing systems without disorder
• Exchange anisotropy and the dynamic phase transition in thin ferromagnetic Heisenberg films
• Fluctuations in the coarsening dynamics of the O(N) model: are they similar to those in glassy systems?
• Ageing in the critical contact process: a Monte Carlo study
• Phase transitions and correlations in the bosonic pair contact process with diffusion: Exact results
• Spherical model of growing interfaces
• Dynamical off-equilibrium scaling across magnetic first-order phase transitions
• Asymmetric Langevin dynamics for the ferromagnetic spherical model
• Stochastic Quantization of the Spherical Model and Supersymmetry
• Aging and equilibration in bistable contagion dynamics
• Hysteresis in magnets