Maximum complexity distribution of a monodimensional ideal gas out of equilibrium

Abstract

The maximum complexity momentum distribution for an isolated monodimensional ideal gas out of equilibrium is derived analytically. In a first approximation, it consists of a double non-overlapping Gaussian distribution. In good agreement with this result, the numerical simulations of a particular isolated monodimensional gas, which is abruptly pushed far from equilibrium, shows the maximum complexity distribution in the decay of the system toward equilibrium.

12 pages, 4 figures

References in corpus (6)

• Superstatistics
• A Statistical Measure of Complexity
• Interpretation of the nonextensitivity parameter $q$ in some applications of Tsallis statistics and Lévy distributions
• Thermodynamic Description of the Relaxation of Two-Dimensional Euler Turbulence Using Tsallis Statistics
• Tendency to Maximum Complexity in a Non-Equilibrium Isolated System
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Cited by in corpus (4)

• Complexity and neutron stars structure
• Geometrical derivation of the Boltzmann factor
• Statistical measure of complexity and correlated behavior of Fermi systems
• Extremum complexity in the monodimensional ideal gas: the piecewise uniform density distribution approximation