  It has long been conjectured that (rapid) fracture propagation dynamics in
materials and turbulent motion of fluids are two manifestations of the same
physical process. The universality class of turbulence (Kolmogorov dispersion
in particular) had been conjectured to be identifiable with the Flory
statistics for linear polymers (self-avoiding walks on lattices). These help us
to relate fracture statistics to those of linear polymers (Flory statistics).
The statistics of fracture in the Fiber Bundle Model (FBM) are now well studied
and many exact results are now available for the equal load-sharing (ELS)
scheme. Yet, the correlation length exponent in this model was missing and we
show here how the correspondence between fracture statistics and the Flory
mapping of Kolmogorov statistics for turbulence helps us to make a conjecture
about the value of the correlation length exponent for fracture in the ELS
limit of FBM, and also about the upper critical dimension. Besides, the
fracture avalanche size exponent values in lower dimensions (as estimated from
such mapping to Flory statistics) also compare well with the observations.
