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This brief overview is designed to introduce some of the advances that have occurred in our understanding of percolation phenomena. We organize our presentation around three simple questions: (i) What are percolation phenomena? (ii) Why do we care? (iii) What do we actually do? To answer the...
Persistent link: https://www.econbiz.de/10011057657
technological processes. The effect of SD is to move surface atoms, molecules and clusters and allow them to assemble into some … concentrations, the lateral (interadatom) interactions can result in formation of clusters, which demonstrate an amazing diversity of …
Persistent link: https://www.econbiz.de/10011058135
In the Cont–Bouchaud model [cond-mat/9712318] of stock markets, percolation clusters act as buying or selling investors … connectivity artificially at or close to the critical value, we propose that clusters shatter and aggregate continuously as the …
Persistent link: https://www.econbiz.de/10011058313
into “clusters”, interpreted as sub-cultural groups. Cultural dissemination works both within the cluster and across … clusters. To reflect connection intensity, an extra-cluster interaction damping coefficient is defined. The probability of …
Persistent link: https://www.econbiz.de/10011058419
effective temperature γ that is directly related to the interactions among electrons. We have studied all the possible clusters … seven-site Apollonian networks. We show that the clusters in which there is a ground-state phase transition are …-shaped universal phase in finite clusters. …
Persistent link: https://www.econbiz.de/10011058523
porous media. Our simulations show that the structure of the fluids’ clusters is volatile and changes with the time t and … length scale. Moreover, ns, the number of clusters of size s, 〈s〉, the mean cluster size, and the fluids’ saturations all … oscillate aperiodically with t, indicating the continuing breakup and recoalescence of the clusters. The effect of flow of thin …
Persistent link: https://www.econbiz.de/10011060022
During the last few years, a number of works in computer simulation have focused on the clustering and percolation properties of simple fluids based on an energetic connectivity criterion proposed long ago by T.L. Hill (J. Chem. Phys. 23 (1955) 617). This connectivity criterion appears to be the...
Persistent link: https://www.econbiz.de/10011061943
An analytical formula of the scaling exponents of velocity structure function for fully developed turbulence is derived, non-perturbatively, by assuming that its underlying statistics is the one based on the generalized measures of entropy, the Renyi entropy or the Havrda–Charvat–Tsallis...
Persistent link: https://www.econbiz.de/10011062020
the air/water interface. The colloidal foam is a transient structure that evolves to the formation of clusters, but … clusters can also be formed after deposition of the sample. We also observed the formation of small aggregates, whose formation …
Persistent link: https://www.econbiz.de/10011062343
The two-dimensional Potts model with 2 to 10 states is studied using a cluster algorithm to calculate fluctuations in cluster size as well as commonly used quantities like equilibrium averages and the histograms for energy and the order parameter. Results provide information about the variation...
Persistent link: https://www.econbiz.de/10011063305