Interacting Steps With Finite-Range Interactions: Analytical Approximation and Numerical Results
| Autor: | Jaramillo, Diego Felipe, Téllez, Gabriel, González, Diego Luis, Einstein, T. L. |
|---|---|
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Phys. Rev. E 87, 052405 (2013) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevE.87.052405 |
| Popis: | We calculate an analytical expression for the terrace-width distribution $P(s)$ for an interacting step system with nearest and next nearest neighbor interactions. Our model is derived by mapping the step system onto a statistically equivalent 1D system of classical particles. The validity of the model is tested with several numerical simulations and experimental results. We explore the effect of the range of interactions $q$ on the functional form of the terrace-width distribution and pair correlation functions. For physically plausible interactions, we find modest changes when next-nearest neighbor interactions are included and generally negligible changes when more distant interactions are allowed. We discuss methods for extracting from simulated experimental data the characteristic scale-setting terms in assumed potential forms. Comment: 9 pages, 9 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|