We study D-dimensional polymerized membranes embedded in d dimensions using a selfconsistent screening approximation. It is exact for large d to order 1/d, for any d to order ǫ = 4−D and for d = D. For flat physical membranes (D = 2, d = 3) it predicts a roughness exponent ζ = 0.590. For phantom membranes at the crumpling transition the size exponent is ν = 0.732. It yields identical lower crit...

Maximum-likelihood exponent maps have been studied as a technique to increase the understanding and improve the fit of power-law exponents to experimental and numerical simulation data, especially when they exhibit both upper and lower cutoffs. The use of the technique is tested by analyzing seismological data, acoustic emission data, and avalanches in numerical simulations of the three-dimensi...

Platinum and palladium doped indium oxide sensors have been successfully fabricated by a screen printing method and tested as oxygen sensors at low temperature (150–400 °C) in a humid environment (~80–85% RH). The sensors, complying with a power law relationship, showed good differentiation at lower temperatures with highest response observed at 200 °C. Platinum had sensitivity of 2.2% per %O2 ...

We report on an experimental study of small cluster dynamics during the coarsening process in driven granular submonolayers of 120-microm bronze particles. The techniques of electrostatic and vertical mechanical vibration were employed to excite the granular gas. We measure the scaling exponent for the evaporation of small clusters during coarsening. It was found that the surface area of small ...

Bond-percolation graphs are random subgraphs of the d-dimensional integer lattice generated by a standard bond-percolation process. The associated graph Laplacians, subject to Dirichlet or Neumann conditions at cluster boundaries, represent bounded, self-adjoint, ergodic random operators with off-diagonal disorder. They possess almost surely the non-random spectrum [0, 4d] and a selfaveraging i...

. We present the exact solution to the problem of diffusion in an arbitrary hierarchical space. We derive rigorous upper and lower bounds for the dynamic exponent describing the decay of the autocorrelation function. We show that the upper bound is saturated by both uniformly and randomly multifurcating hierarchical trees, and identify a class of highly unbalanced trees that saturate the lower ...

Capacity of energy harvesting communications with deterministic energy arrival and finite battery size is investigated. An abstraction of the physical layer is considered, where binary sequences are transmitted through a binary symmetric channel, and a cost function is associated with the transmission of each symbol. Upper and lower bounds on the channel capacity are derived for the general cas...

We examine trial-to-trial variability of color coordinates in automotive coatings containing effect pigments, which are considered a reference paradigm for engineering angle-dependent color effects. We report the existence of correlations that show 1/f - Fourier spectra at low frequencies in all color coordinates. The scaling exponent was lower at near-specular conditions for lightness variatio...