AI Article Synopsis
- The text discusses how the distribution of capture zones in island nucleation and growth can be described using a generalized version of the Wigner surmise from random matrix theory.
- This approach highlights a power-law rise and Gaussian decay, with the power-law exponent serving as a crucial adjustable parameter linked to growth models and substrate dimensionality.
- The findings are compared with extensive kinetic Monte Carlo data and some experimental data, supported by a phenomenological theory that explains the results.
Article Abstract
In island nucleation and growth, the distribution of capture zones (in essence proximity cells) can be described by a simple expression generalizing the Wigner surmise (power-law rise, Gaussian decay) from random matrix theory that accounts for spacing distributions in a host of fluctuation phenomena. Its single adjustable parameter, the power-law exponent, can be simply related to the critical nucleus of growth models and the substrate dimensionality. We compare with extensive published kinetic Monte Carlo data and limited experimental data. A phenomenological theory elucidates the result.
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| http://dx.doi.org/10.1103/PhysRevLett.99.226102 | DOI Listing |
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