Heterogeneous nucleation on complex networks with mobile impurities
Abstract
We study the heterogeneous nucleation of Ising model on complex networks under a nonequilibrium situation where the impurities perform degree-biased motion controlled by a parameter α. Through the forward flux sampling and detailed analysis on the nucleating clusters, we find that the nucleation rate shows a nonmonotonic dependence on α for small number of impurities, in which a maximal nucleation rate occurs at α=0 corresponding to the degree-uncorrelated random motion. Furthermore, we demonstrate the distinct features of the nucleating clusters along the pathway for different preference of impurities motion, which may be used to understand the resonance-like dependence of nucleation rate on the motion bias of impurities. Our theoretical analysis shows that the nonequilibrium diffusion of impurities can always induce a positive energy flux that can facilitate the barrier-crossing nucleation process. The nonmonotonic feature of the average value of the energy flux with α may be the origin of our simulation results.
- Publication:
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EPL (Europhysics Letters)
- Pub Date:
- August 2015
- DOI:
- 10.1209/0295-5075/111/48005
- arXiv:
- arXiv:1506.00751
- Bibcode:
- 2015EL....11148005S
- Keywords:
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- Physics - Physics and Society;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 6 pages, 5 figures. arXiv admin note: text overlap with arXiv:1202.4230