dorsal/arxiv
View SchemaOverdamping Phenomena near the Critical Point in O($N$) Model
| Authors | K. Ohnishi, T. Kunihiro |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0503017 |
| URL | https://arxiv.org/abs/nucl-th/0503017 |
| DOI | 10.1016/j.physletb.2005.10.049 |
| Journal | Phys.Lett. B632 (2006) 252-256 |
Abstract
We consider the dynamic critical behavior of the propagating mode for the order parameter fluctuation of the O($N$) Ginzburg-Landau theory, involving the canonical momentum as a degree of freedom. We reexamine the renormalization group analysis of the Langevin equation for the propagating mode. We find the fixed point for the propagating mode as well as that for the diffusive one, the former of which is unstable to the latter. This indicates that the propagating mode becomes overdamped near the critical point. We thus can have a sufficient understanding of the phonon mode in the structural phase transition of solids. We also discuss the implication for the chiral phase transition.
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"abstract": "We consider the dynamic critical behavior of the propagating mode for the\norder parameter fluctuation of the O($N$) Ginzburg-Landau theory, involving the\ncanonical momentum as a degree of freedom. We reexamine the renormalization\ngroup analysis of the Langevin equation for the propagating mode. We find the\nfixed point for the propagating mode as well as that for the diffusive one, the\nformer of which is unstable to the latter. This indicates that the propagating\nmode becomes overdamped near the critical point. We thus can have a sufficient\nunderstanding of the phonon mode in the structural phase transition of solids.\nWe also discuss the implication for the chiral phase transition.",
"arxiv_id": "nucl-th/0503017",
"authors": [
"K. Ohnishi",
"T. Kunihiro"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.physletb.2005.10.049",
"journal_ref": "Phys.Lett. B632 (2006) 252-256",
"title": "Overdamping Phenomena near the Critical Point in O($N$) Model",
"url": "https://arxiv.org/abs/nucl-th/0503017"
},
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