Complex Systems with Trivial Dynamics
In this communication, complex systems with a near trivial dynamics are addressed. First, under the hypothesis of equiprobability in the asymptotic equilibrium, it is shown that the (hyper) planar geometry of an N-dimensional multi-agent economic system implies the exponential (Boltzmann-Gibss) wealth distribution and that the spherical geometry of a gas of particles implies the Gaussian (Maxwellian) distribution of velocities. Moreover, two non-linear models are proposed to explain the decay of these statistical systems from an out-of-equilibrium situation toward their asymptotic equilibrium states.
KeywordsStatistical models Equilibrium distributions Decay toward equilibrium Nonlinear models
Several collaborators have participated in the development of different aspects of this line of research. Concretely, X. Calbet, J. Sañudo, J.L. Lopez and E. Shivanian. See the references.
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