To shed light onto the initial condition sensitivity inside the MPI attractor in the RE model, the leading Lyapunov exponent is numerically estimated for 500 cycles starting after 5 days into integration, when the simulated vortex roughly reaches its statistical equilibrium (Fig.

1] at the statistical equilibrium, whereas numerical simulations with a full-physics model by Yang et al.

The photon population of the frequency states has to be adapted to a statistical equilibrium, under the constraint of a finite and given total energy density.

is due to the probability of the various photon states in statistical equilibrium.

Indeed, recognition of the importance of heterogeneity leads Pareto to introduce statistical equilibrium as a complement to the theoretical equilibrium that results from a balance of economic forces.

Pareto provided an answer, although not a fully developed one: the analysis of many different individuals within a social system requires statistical equilibrium that reflects an analogy with physics.

4 model delivers statistical equilibrium results for the Atlantic MOC (Peltier and Solheim 2004; Fig.

2004, The climate of the Earth at Last Glacial Maximum: Statistical equilibrium state and a mode of internal variability: Quaternary Science Reviews, v.

Another, which they called the nuclear

statistical equilibrium, or e-process, operates only at staggeringly high temperatures and pressures and favors elements near iron in the periodic table, because these are the toughest, most stable nuclei.

McKelvey and Palfrey (1995, 1996, 1998) develop a

statistical equilibrium concept for normal form and extensive form games.

Rivier believes that a system in

statistical equilibrium must obey a rule called the Aboav-Weaire law, which applies not only to froths but also to crystals and cells.