A simple Ising spin model which can describe the mechanism of advertising in a duopoly market is proposed. In contrast to other agent-based models, the influence does not flow inward from the surrounding neighbors to the center site, but spreads outward from the center to the neighbors. The...

A linear chain of alternate Ising spins σ=1 and S=32, with bi-linear, bi-quadratic, single-ion and Zeeman interactions is studied. It is shown that this system can be mapped onto an effective BEG model, by the use of an extended decoration transformation. Exact results are obtained for the...

We examine some aspects of the recent results by Binder [Physica A 319 (2003) 99]. The equilibrium formation/dissolution of droplets in finite systems is discussed in the context of the canonical and the grand canonical distributions.

A simple Ising spin model which can describe the mechanism of advertising in a duopoly market is proposed. In contrast to other agent- based models, the influence does not flow inward from the surrounding neighbors to the center site, but spreads outward from the center to the neighbors. The...

We present a conjecture on the exact location of the multicritical point of models of spin glasses on the two-dimensional square lattice using duality transformation. The results not only agree very well with numerical estimates but also conform excellently to the existing knowledge on annealed...

Members of boards of directors of large corporations who also serve together on an outside board, form the so-called interlock graph of the board and are assumed to have a strong influence on each others’ opinion. We here study how the size and the topology of the interlock graph affect the...