Nonequilibrium dynamics ofN-component Ginzburg-Landau fields in zero and one dimension

Abstract

Here we report on the use of the $N^{-1\mathrm{}}$ expansion in studying the time evolution of a nonequilibrium quenched state of a Ginzburg-Landau model in zero and one spatial dimension. Results obtained from the $N^{-1\mathrm{}}$ expansion are compared with those obtained using numerical simulations of the Langevin dynamics. We find that the $N^{-1\mathrm{}}$ approximation provides a useful qualitative picture which for $N\gtrsim 3$ becomes a reasonable quantitative representation.