Critical Dynamics under Quenched Random Magnetic Fields. II : ε=6-d Expansion of the Dynamic Critical Exponent
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Effects of quenched random magnetic fields on the critical relaxation of the time-dependent Ginzburg-Landau equation for m-component classical spin system are investigated by means of the dynamical renormalization group. In the static limit, the recursion relations near below 6 space dimensions found by Grinstein are recovered. Dynamic critical exponent for the characteristic frequency is obtained to be z=2+cη, c=2 up to order ε^2 (ε=6-d) on the basis of the dynamic scaling hypothesis. The static correlation exponent η is given by that of a pure system in d-2 space dimensions. Since c does not agree with the result by Halperin-Hohenberg-Ma (c=6 log 4/3-1), d→d-2 rule does not hold for time-dependent phenomena.
- 理論物理学刊行会の論文
- 1978-12-25
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