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The spatial correlation during a failure event of a one-dimensional fiber bundle model is studied when three main parameters guiding the dynamics of the model is tuned: the fluctuation of local strength ($beta$), range of stress relaxation ($gamma$), and size of the bundle ($L$). Both increasing disorder strength and stress release range favor rupture events, random in space like percolation. An increase in system size on the other hand nucleating failure. At an intermediate disorder strength and stress release range, when these two parameters compete, the failure process shows avalanches and precursor activities. A complex phase diagram on the $beta-gamma-L$ plane is presented showing different failure modes - nucleation, avalanche, and percolation, depending on the spatial correlation observed during the failure process.
A phase diagram for a one dimensional fiber bundle model is constructed with a continuous variation in two parameters guiding dynamics of the model: strength of disorder and system size. We monitor the successive events of fiber rupture in order to u
The ranges of transmission of the mobiles in a Mobile Ad-hoc Network are not uniform in reality. They are affected by the temperature fluctuation in air, obstruction due to the solid objects, even the humidity difference in the environment, etc. How
We study the dynamical aspects of a statistical-mechanical model for fracture of heterogeneous media: the fiber bundle model with various interaction range. Although the model does not include any thermal activation process, the system exhibits creep
The main purpose of this work is to simulate two-phase flow in the form of immiscible displacement through anisotropic, three-dimensional (3D) discrete fracture networks (DFN). The considered DFNs are artificially generated, based on a general distri
A simple one-dimensional microscopic model of the depinning transition of an interface from an attractive hard wall is introduced and investigated. Upon varying a control parameter, the critical behaviour observed along the transition line changes fr