  We note that in a system far from equilibrium the interface roughening may
depend on the system size which plays the role of control parameter. To detect
the size effect on the interface roughness, we study the scaling properties of
rough interfaces formed in paper combustion experiments. Using paper sheets of
different width \lambda L, we found that the turbulent flame fronts display
anomalous multi-scaling characterized by non universal global roughness
exponent \alpha and the system size dependent spectrum of local roughness
exponents,\xi_q, whereas the burning fronts possess conventional multi-affine
scaling. The structure factor of turbulent flame fronts also exhibit
unconventional scaling dependence on \lambda These results are expected to
apply to a broad range of far from equilibrium systems, when the kinetic energy
fluctuations exceed a certain critical value.

Statistical Mechanics