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

J. Garcia-Ojalvo; J. M. Sancho; H. Guo

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

Condensed Matter 2007-05-23 v1

Authors: J. Garcia-Ojalvo , J. M. Sancho , H. Guo

Abstract

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.

Keywords

renormalization group renormalization in quantum field theory critical phenomena

Cite

@article{arxiv.cond-mat/9402052,
  title  = {Dynamic Renormalization Group Study of the $\phi^4$ Model with Colored Noise},
  author = {J. Garcia-Ojalvo and J. M. Sancho and H. Guo},
  journal= {arXiv preprint arXiv:cond-mat/9402052},
  year   = {2007}
}

Comments

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

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

Abstract

Keywords

Cite

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