Abstract
Logistic growth process with nonlocal interactions is considered in one dimension. Spontaneous breakdown of translational invariance is shown to take place at some parameter region, and the bifurcation regime is identified for short and long-range interactions. Domain walls between regions of different order parameter are expressed as soliton solutions of the reduced dynamics for nearest-neighbor interactions. The analytic results are confirmed by numerical simulations.
| Original language | English |
|---|---|
| Pages (from-to) | 6 |
| Number of pages | 1 |
| Journal | Physical Review E |
| Volume | 69 |
| Issue number | 6 |
| DOIs | |
| State | Published - Jun 2004 |
Bibliographical note
Funding Information:I thank Professor David Kessler for helpful discussions and comments. This work was supported by the Israel Science Foundation (ISF) and by Y. Horowitz Association. This work was supported by the Israel Science Foundation (ISF) and by the Y. Horowitz Association.
Funding
I thank Professor David Kessler for helpful discussions and comments. This work was supported by the Israel Science Foundation (ISF) and by Y. Horowitz Association. This work was supported by the Israel Science Foundation (ISF) and by the Y. Horowitz Association.
| Funders | Funder number |
|---|---|
| Y. Horowitz Association | |
| Israel Science Foundation |