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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)] isstudied in this system. In general, it is shown that the complexity remainswithin the bounds of minimum and maximum complexity. We find that there arecertain restrictions when the isolated "tetrahedral" gas evolves towardsequilibrium. In addition to the well-known increase in entropy, the quantitycalled disequilibrium decreases monotonically with time. Furthermore, thetrajectories of the system in phase space approach the maximum complexity.Comment: 22 pages, 0 figures. Published in Phys. Rev. E 63, 066116(9) (2001

Tendency towards maximum complexity in a nonequilibrium isolated system