Perturbations of planar interfaces in Ginzburg-Landau models
| dc.creator | Arodz, H. | |
| dc.creator | Pelka, R. | |
| dc.creator | Stepien, L. | |
| dc.date | 2001-03-06 | |
| dc.date.accessioned | 2026-07-25T21:49:11Z | |
| dc.description | Certain dissipative Ginzburg-Landau models predict existence of planar interfaces moving with constant velocity. In most cases the interface solutions are hard to obtain because pertinent evolution equations are nonlinear. We present a systematic perturbative expansion which allows us to compute effects of small terms added to the free energy functional of a soluble model. As an example, we take the exactly soluble model with single order parameter $ϕ$ and the potential $V_0(ϕ) = Aϕ^2 + B ϕ^3 + ϕ^4$, and we perturb it by adding $V_1(ϕ) = {1/2} ε_1 ϕ^2 \partial_i ϕ\partial_i ϕ+ 1/5 ε_2 ϕ^5 + 1/6 ε_3 ϕ^6. $ We discuss the corresponding changes of the velocity of the planar interface. | |
| dc.description | 13 pages, no figures, LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0103132 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0103132 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/83179 | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Perturbations of planar interfaces in Ginzburg-Landau models | |
| dc.type | text |