dorsal/arxiv
View SchemaNew universality class for step bunching in the "C+ - C-" model
| Authors | Bogdan Ranguelov, Vesselin Tonchev, Hiroo Omi, Alberto Pimpinelli |
|---|---|
| Categories | |
| ArXiv ID | physics/0703250 |
| URL | https://arxiv.org/abs/physics/0703250 |
Abstract
We formulate a new (1+1)D step model of potentially unstable vicinal growth that we call "C+ - C-" model and study the step bunching process in it. The basic assumption is that the equilibrium adatom concentrations on both sides of the step are different and this may cause destabilization of the regular step train. We deduce equations of step motion and numerically integrate them to obtain the step positions on a discrete time set. New dynamic phenomena are observed during the bunching process: 1. parts of the crystal surface undergo temporary evaporation in the course of coalescence of two bunches, the larger being the one that "goes back", 2. the minimal interstep distance appears in the beginning rather than in the middle of the bunch. We speculate that the latter may serve as a diagnostic criterion for a new universality class constructed from the time- and size-scaling exponents describing the bunching process in the diffusion-limited regime.
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"abstract": "We formulate a new (1+1)D step model of potentially unstable vicinal growth\nthat we call \"C+ - C-\" model and study the step bunching process in it. The\nbasic assumption is that the equilibrium adatom concentrations on both sides of\nthe step are different and this may cause destabilization of the regular step\ntrain. We deduce equations of step motion and numerically integrate them to\nobtain the step positions on a discrete time set. New dynamic phenomena are\nobserved during the bunching process: 1. parts of the crystal surface undergo\ntemporary evaporation in the course of coalescence of two bunches, the larger\nbeing the one that \"goes back\", 2. the minimal interstep distance appears in\nthe beginning rather than in the middle of the bunch. We speculate that the\nlatter may serve as a diagnostic criterion for a new universality class\nconstructed from the time- and size-scaling exponents describing the bunching\nprocess in the diffusion-limited regime.",
"arxiv_id": "physics/0703250",
"authors": [
"Bogdan Ranguelov",
"Vesselin Tonchev",
"Hiroo Omi",
"Alberto Pimpinelli"
],
"categories": [
"physics.chem-ph"
],
"title": "New universality class for step bunching in the \"C+ - C-\" model",
"url": "https://arxiv.org/abs/physics/0703250"
},
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"variant": "snapshot-2026-03-01",
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