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The short-time critical behaviour of the Ginzburg-Landau model with long-range interaction

Y. Chen·S. H. Guo·Z. B. Li·S. Marculescu·L. Schuelke
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Abstract

The renormalisation group approach is applied to the study of the short-time critical behaviour of the $d$-dimensional Ginzburg-Landau model with long-range interaction of the form $p^σ s_{p}s_{-p}$ in momentum space. Firstly the system is quenched from a high temperature to the critical temperature and then relaxes to equilibrium within the model A dynamics. The asymptotic scaling laws and the initial slip exponents $θ^{\prime}$ and $θ$ of the order parameter and the response function respectively, are calculated to the second order in $ε=2σ-d$.

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Y. Chen, S. H. Guo, Z. B. Li, S. Marculescu, L. Schuelke. 2000-06-21. The short-time critical behaviour of the Ginzburg-Landau model with long-range interaction. https://doi.org/10.1007/s100510070060

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