Non-local conservation in the coupling field: effect on critical dynamics

Details Non-local conservation in the coupling field: effect on critical dynamics Non-local conservation in the coupling field: effect on critical dynamics

1998-12-21

arxiv.org/abs/cond-mat/9812336v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, revtex, 1 eps figure included, to appear in Journal of Physics A

Scientific paper

10.1088/0305-4470/32/9/010

We consider the critical dynamics of a system with an $n$-component non-conserved order parameter coupled to a conserved field with long range diffusion. An exponent $\sigma$ characterizes the long range transport, $\sigma=2$ being the known locally conserved case. With renormalisation group calculations done upto one loop order, several regions are found with different values of the dynamic exponent $z$ in the $\sigma -n$ plane. For $n<4$, there are three regimes, I: nonuniversal, $\sigma$ dependent $z$, II: universal with $z$ depending on $n$ and III': conservation law irrelevant, $z$ being equal to that in the nonconserved case. The known locally conserved case belongs to regions I and II.

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