Extremum complexity in the monodimensional ideal gas: the piecewise uniform density distribution approximation

Abstract

In this work, it is suggested that the extremum complexity distribution of a high dimensional dynamical system can be interpreted as a piecewise uniform distribution in the phase space of its accessible states. When these distributions are expressed as one--particle distribution functions, this leads to piecewise exponential functions. It seems plausible to use these distributions in some systems out of equilibrium, thus greatly simplifying their description. In particular, here we study an isolated ideal monodimensional gas far from equilibrium that presents an energy distribution formed by two non--overlapping Gaussian distribution functions. This is demonstrated by numerical simulations. Also, some previous laboratory experiments with granular systems seem to display this kind of distributions.

11 pages, 1 table, 16 figures

References in corpus (6)

• A Statistical Measure of Complexity
• Tendency to Maximum Complexity in a Non-Equilibrium Isolated System
• Statistical complexity, Fisher-Shannon information, and Bohr orbits in the H-atom
• Velocity distribution of fluidized granular gases in presence of gravity
• Maximum complexity distribution of a monodimensional ideal gas out of equilibrium
• Multi-agent systems, Equiprobability, Gamma distributions and other Geometrical questions