Dynamic Renormalization Group Study of the $φ^4$ Model with Colored Noise

Details Dynamic Renormalization Group Study of the $φ^4$ Model with Colored Noise Dynamic Renormalization Group Study of the $φ^4$ Model with Colored Noise

1994-02-11

arxiv.org/abs/cond-mat/9402052v1

Physics

Condensed Matter

16 pages (REVTEX 3.0), 6 PostScript figures included via epsf (available upon request to jmsancho@ebubecm1.bitnet)

Scientific paper

The non-conserved $\phi^4$ model defined by a Langevin equation with external non-white noise is studied by means of the Dynamic Renormalization Group. The correlation time of the noise changes the critical point location but does not affect the critical exponents up to order $\varepsilon^2$. The same effect is obtained when the correlation length of the noise is considered. These results are shown to be in agreement with previous numerical simulations.

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