We study the critical dynamics of stochastic models appropriate for describing bicritical and tetracritical points in anisotropic antiferromagnetic systems. The dynamic exponents and the transient exponents are calculated by renormalized field theory up to two‐loop order. In the presence of reversible mode‐coupling terms, two‐loop contributions establish bicritical dynamic scaling in the restricted sense and invalidate recent predictions based on mode‐coupling arguments. In the case of an n‐component relaxational model total dynamic scaling is found to O (ε2) both at the bicritical (n≲3) and the tetracritical (4≲n<11) points.
REFERENCES
1.
2.
R. A.
Ferrell
, N.
Menyhard
, H.
Schmidt
, F.
Schwabl
, and P.
Szépfalusy
, Ann. Phys. (N.Y.)
47
, 565
(1968
);3.
4.
5.
6.
7.
8.
9.
10.
For constructing the corresponding equivalent Lan‐gevin equations see Refs. 6 and 7.
11.
12.
13.
J. W. Lynn, P. Heller, and N. A. Lurie, Phys. Rev. B, to be published.
14.
15.
This content is only available via PDF.
© 1978 American Institute of Physics.
1978
American Institute of Physics
You do not currently have access to this content.
