Bidaux , Lubachevsky , Privman 

FINITE SIZE BEHAVIOR OF RELAXATION TIMES IN STOCHASTIC MODELS WITH ACCUMULATING FIXED POINTS
(27K, TeX)

ABSTRACT.  
We report numerical and analytical studies of the
finite size time scales in a
system with microscopic stochastic dynamics which
in the bulk limit corresponds
to an evolution equation with an accumulation
point of critical fixed points. Our
results suggest that the finite size behavior
is dominated not by fluctuations but by
the bottle-neck statistical weights at
near-fixed-point conditions in a finite-size system.