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

• Main Authors: Chen, Y, Guo, S. H, Li, Z. B, Marculescu, S, Schuelke, L
• Format: Journal Article
• Language: English
• Published: 12-11-1999
• Subjects: Physics - Soft Condensed Matter; Physics - Statistical Mechanics
• DOI: 10.48550/arxiv.cond-mat/9911193

Eur. Phys. J. B 18, 289 (2000) 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 $\epsilon=2\sigma-d$.