In strong Langmuir turbulence collective correlations affect the proba
bility distribution P(E) of the electric microfield in a stationary, t
urbulent plasma. Extending previous work to include long-range correla
tions but not dynamics over lengths much greater than lambda(D) yields
a characteristic distribution P(E) is-proportional-to E(d-1) exp(-E2/
[E2]), with d the dimensionality of the electric field, and [E2] propo
rtional to the square of the correlated particle density. This suggest
s modeling strong turbulence experiments with a maximally entropic, th
ermal-like wave distribution of elevated temperature, determined by th
e amplitude and scale of long-range correlations. Implications for rec
ent experiments show agreement between measurements for electric field
s, microwave power emitted, and the packing fraction of beam-driven tu
rbulence. Relaxation of the electric fields also yields useful informa
tion.