Tendency to Maximum Complexity in a Non-Equilibrium Isolated System

Details Tendency to Maximum Complexity in a Non-Equilibrium Isolated System Tendency to Maximum Complexity in a Non-Equilibrium Isolated System

2002-05-10

arxiv.org/abs/nlin/0205022v1

Nonlinear Sciences

Chaotic Dynamics

22 pages, 0 figures. Published in Phys. Rev. E 63, 066116(9) (2001)

Scientific paper

The time evolution equations of a simplified isolated ideal gas, the "tetrahe- dral" gas, are derived. The dynamical behavior of the LMC complexity [R. Lopez-Ruiz, H. L. Mancini, and X. Calbet, Phys. Lett. A 209, 321 (1995)] is studied in this system. In general, it is shown that the complexity remains within the bounds of minimum and maximum complexity. We find that there are certain restrictions when the isolated "tetrahedral" gas evolves towards equilibrium. In addition to the well-known increase in entropy, the quantity called disequilibrium decreases monotonically with time. Furthermore, the trajectories of the system in phase space approach the maximum complexity.

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