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

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

1999-11-12

arxiv.org/abs/cond-mat/9911193v2

Eur. Phys. J. B 18, 289 (2000)

Physics

Condensed Matter

Soft Condensed Matter

18 pages, 4 figures, 1 table

Scientific paper

10.1007/s100510070060

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 $p^{\sigma} s_{p}s_{-p}$ 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 $\theta^{\prime}$ and $\theta$ of the order parameter and the response function respectively, are calculated to the second order in $\epsilon=2\sigma-d$.

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