کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
976728 | 933148 | 2007 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Exploring the origins of the power-law properties of energy landscapes: An egg-box model Exploring the origins of the power-law properties of energy landscapes: An egg-box model](/preview/png/976728.png)
Multidimensional potential energy landscapes (PELs) have a Gaussian distribution for the energies of the minima, but at the same time the distribution of the hyperareas for the basins of attraction surrounding the minima follows a power-law. To explore how both these features can simultaneously be true, we introduce an “egg-box” model. In these model landscapes, the Gaussian energy distribution is used as a starting point and we examine whether a power-law basin area distribution can arise as a natural consequence through the swallowing up of higher-energy minima by larger low-energy basins when the variance of this Gaussian is increased sufficiently. Although the basin area distribution is substantially broadened by this process, it is insufficient to generate power-laws, highlighting the role played by the inhomogeneous distribution of basins in configuration space for actual PELs.
Journal: Physica A: Statistical Mechanics and its Applications - Volume 382, Issue 2, 15 August 2007, Pages 683–692