TY - JOUR
T1 - Anomalous roughness with system-size-dependent local roughness exponent
AU - Balankin, Alexander S.
AU - Matamoros, Daniel Morales
PY - 2005/5
Y1 - 2005/5
N2 - 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 λL0, we found that the turbulent flame fronts display anomalous multiscaling characterized by nonuniversal global roughness exponent α and the system-size-dependent spectrum of local roughness exponents ζq(λ)=ζ1(1) qâωλϕ<α, whereas the burning fronts possess conventional multiaffine scaling. The structure factor of turbulent flame fronts also exhibit unconventional scaling dependence on λ. 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.
AB - 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 λL0, we found that the turbulent flame fronts display anomalous multiscaling characterized by nonuniversal global roughness exponent α and the system-size-dependent spectrum of local roughness exponents ζq(λ)=ζ1(1) qâωλϕ<α, whereas the burning fronts possess conventional multiaffine scaling. The structure factor of turbulent flame fronts also exhibit unconventional scaling dependence on λ. 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.
UR - http://www.scopus.com/inward/record.url?scp=26944476589&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.71.056102
DO - 10.1103/PhysRevE.71.056102
M3 - Artículo
SN - 1539-3755
VL - 71
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 5
M1 - 056102
ER -