Socioeconomic networks with long-range interactions

Socioeconomic networks with long-range interactions.

We study a modified version of a model previously proposed by Jackson and Wolinsky to account for communication of information and allocation of goods in socioeconomic networks. In the model, the utility function of each node is given by a weighted sum of contributions from all accessible nodes. The weights, parametrized by the variable delta , decrease with distance. We introduce a growth mech...

Epidemic spreading in networks with nonrandom long-range interactions.

An "infection," understood here in a very broad sense, can be propagated through the network of social contacts among individuals. These social contacts include both "close" contacts and "casual" encounters among individuals in transport, leisure, shopping, etc. Knowing the first through the study of the social networks is not a difficult task, but having a clear picture of the network of casua...

Lattice gas models with long range interactions

In this article we study lattice gas models with certain long range pair interactions. Our models are generalizations of certain mean field and random graph models, in which all sites or nodes interact with all others with equal strength. In contrast with mean field models, we allow the interaction strength to decay, but at a rate sufficiently slow that interactions between far away sites are s...

Josephson Junction Arrays with Long-Range Interactions

We calculate the current-voltage (IV ) characteristics of a Josephson junction array with long-range interactions. The array consists of two sets of equally-spaced parallel superconducting wires placed at right angles. A Josephson junction is formed at every point wherever the wires cross. We treat each such junction as an overdamped resistively-shunted junction, and each wire segment between t...

Long - range enhancer - promoter interactions :