2002/09/06 by Lotfi Zekri, N. Zekri, Nouredine Zekri +2
Materials Science · Mathematics · Physics and Astronomy · #Composite material #Composite number #Computer science #Condensed matter physics #Conductivity #Dielectric #Dissipation #Distribution (mathematics) #Electrical resistivity and conductivity #Electromagnetic Scattering and Analysis #Interpretation (philosophy) #Limit (mathematics) #Material Dynamics and Properties #Materials science #Mathematical analysis #Mathematics #Percolation (cognitive psychology) #Percolation threshold #Physics #Quantum mechanics #Statistical physics #Theoretical and Computational Physics #Thermodynamics #cond-mat.dis-nn
paper · pdf · doi:10.1088/0022-3727/36/16/315
published in Journal of Physics D Applied Physics 36(16), 2014-2016 (Institute of Physics) · 6 pages, 2 figures, submitted to Phys.Rev.B
arxiv created 2002/09/06 · openalex publication_date 2003/07/31 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study numerically the imaginary part of the effective ac conductivity as well as its probability distribution in the limit of vanishing losses in two-dimensional composites. The results show, in this limit, strong fluctuations with a symmetric probability distribution centred at zero. Since the real part of the ac conductivity was also found to vanish in this limit (no dissipation), further discussions are provided on the interpretation of such fluctuations in terms of the field energy in the sample.