2003/10/30 by Srutarshi Pradhan, Bikas K. Chakrabarti, Pradhan, Srutarshi +1 · 1 citation
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0310723
19 pages, 11 figures, accepted in the edited volume "Nonequilibrium Transitions in Plasmas" edited by Surja Sharma and Predhiman Kaw and will be published by Kluwer Academic Publishers
arxiv created 2003/10/30 · arxiv updated 2009/12/01
We review here briefly the nature of precursors of global failures in three different kinds of many-body dynamical systems. First, we consider the lattice models of self-organised criticality in sandpiles and investigate numerically the effect of pulsed perturbations to the systems prior to reaching their respective critical points. We consider next, the random strength fiber bundle models, under global load sharing approximation, and derive analytically the partial failure response behavior at loading level less than its global failure or critical point. Finally, we consider the two-fractal overlap model of earthquake and analyse numerically the overlap time series data as one fractal moves over the other with uniform velocity. The precursors of global or major failure in all three cases are shown to be very well characterized and prominent.