An approach is developed, combining the ideas of quantum statistical mechanics and multichannel theory of scattering, for treating statistical systems whose constituents can possess different bound states realized as compact clusters. The main principles for constructing multichannel cluster...

A lattice-gas model, which has conductors connecting each pair of occupied nearest-neighbour sites, is studied using Monte-Carlo simulations. At low temperatures, the lattice-gas atomic density approaches unity and the system is in a high-conductivity state. At high temperatures, the lattice-gas...

We propose a thermodynamic version of the Axelrod model of social influence. In one-dimensional (1D) lattices, the thermodynamic model becomes a coupled Potts model with a bonding interaction that increases with the site matching traits. We analytically calculate thermodynamic and critical...

One of the lessons learned from the recent financial crisis is the need to understand the systemic risk in the financial system – i.e., the risk (or probability) for the financial system ‘as a whole’ to turn unstable. As there are analogous concepts in the physics of complex systems, three...

In this article we examine social neuroeconomics from a complex systems point of view, that is rooted in the theory and methods of informationally coupled self-organizing dynamical systems. Our contribution focuses on establishinng a theoretical perspective within which one can interpret...

In the first part of this review, we survey the known analytic results regarding the non-ergodic phase of standard Minority Games. Such phases are characterized by the fact that, at odds with ergodic regimes, the steady state properties of the game (e.g. the volatility) depend both on the...

We analyze the advent and development of eight scientific fields from their inception to maturity and map the evolution of their networks of collaboration over time, measured in terms of co-authorship of scientific papers. We show that as a field develops it undergoes a topological transition in...

Among the stationary configurations of the Hamiltonian of a classical O(n) lattice spin model, a class can be identified which is in one-to-one correspondence with all the configurations of an Ising model defined on the same lattice and with the same interactions. Starting from this observation...