Statistical mechanics of socio-economic systems with heterogeneous agents

Statistical mechanics of socio-economic systems with heterogeneous agents

We review the statistical mechanics approach to the study of the emerging collective behavior of systems of heterogeneous interacting agents. The general framework is presented through examples is such contexts as ecosystem dynamics and traffic modeling. We then focus on the analysis of the optimal properties of large random resource-allocation problems and on Minority Games and related models ...

Complexity in Socio-Economic Systems

Statistical Mechanics of Granular Systems

From a first principles theory for the behavior of smooth grarular systems, we derive the form for the instantaneous dissipative force acting between two grains. The present model, which is based on the classical harmonic crystal, reproduces the dependence of the kinetic energy dissipation on the grain deformation obtained by models that assume a viscoelastic behavior (without permanent plastic...

Statistical Mechanics of Lattice Systems

We study the thermodynamic limit for a classical system of particles on a lattice and prove the existence of infinite volume correlation functions for a "large" set of potentials and temperatures. §

Statistical mechanics of program systems

Abstract We discuss the collective behaviour of a set of operators and variables that constitute a program and the emergence of meaningful computational properties in the language of statistical mechanics. This is done by appropriately modifying available Monte Carlo methods to deal with hierarchical structures. The study suggests, in analogy with simulated annealing, a method to automatically ...