Using a finite size scaling form for reunion probability, we show numerically the existence of a binding-unbinding transition for Directed polymers with random interaction. The cases studied are (A1) two chains in 1+1 dimensions, (A2) two chains in 2+1 dimensions and (B) three chains in 1+1 dimensions. A similar finite size scaling form for fluctuation establishes a disorder induced transition ...

It is shown that thermally driven magnetic critical phenomena just above and just below the percolation limit can be usefully analysed using scaling theory; a further assumption concerning cluster connectivity provides quantitative predictions for critical exponents and scaling functions that should be experimentally testable. In particular, reasonable agreement is found with recent experimenta...

We investigate the dynamics of viscous penetration in two-dimensional percolation networks at criticality for the case in which the ratio between the viscosities of displaced and injected fluids is very large. We report extensive numerical simulations that indicate that the scaling exponents for the breakthrough time distribution are the same as the previously reported values computed for the c...

In [4], we have studied the statistical properties and mono-fractality of the power system time series, voltage magnitude (V), frequency (f), and phase angle (θ). The power system data was measured using three Phasor Measurement Units (PMUs) installed at Baylor University, Harris Substation, McDonald Observatory in the Texas Synchrophasor Network [1]. Our analysis of several data sets has shown...

The effective transport properties and percolation of continuum composites have commonly been studied using discrete models, i.e., by mapping the continuum to a lattice or network. In this study we instead directly solve the continuum transport equations for composite microstructures both analytically and numerically, and we extract the continuum percolation threshold and scaling exponents for ...

We measure temperature fluctuations in the Rayleigh-Bénard apparatus, which is a closed cylindrical container with the bottom wall heated and the top wall cooled. The aspect ratio, which is the diameter-to-height ratio of the apparatus, is unity. The Rayleigh number is 1.5 x 10(11). The working fluid is cryogenic helium gas. We compute temperature structure functions up to order 16, and use ext...

We perform rescaled range analysis upon the signals measured by Dual Particle Dynamical Analyzer in gas-liquid two-phase turbulent jets. A novel rescaled range analysis is proposed to investigate these unevenly sampled signals. The Hurst exponents of velocity and other passive scalars in the bulk of spray are obtained to be 0.59±0.02 and the fractal dimension is hence 1.41± 0.02, which are in r...