Anomalous roughness with system size dependent local roughness exponent

TL;DR

This paper investigates how system size influences interface roughness in far-from-equilibrium systems, revealing anomalous multi-scaling behaviors in turbulent flame fronts through experimental analysis.

Contribution

It demonstrates that system size affects the roughness scaling and introduces non-universal exponents in turbulent flame fronts, highlighting anomalous multi-scaling phenomena.

Findings

Turbulent flame fronts show anomalous multi-scaling with non-universal roughness exponents.

Burning fronts exhibit conventional multi-affine scaling.

Structure factor scaling depends on system size parameter .

Abstract

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.