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Introduction to Percolation
In this chapter we motivate the study of disordered media through the example of a porous system. The basic terms in percolation theory are... -
Evaluation of Percolation Theory Insisted Resilience Index for Indian 62 Bus Utility System in Cascading Failure Situation
With the ever-increasing natural extreme events as well as the cyber-physical attacks, the vulnerability of the transmission and the distribution...
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Percolation in Large-Scale Systems
Many of the applications of percolation theory that were described in the previous chapters are now well established in the sense that percolation is... -
Directed Percolation and Its Applications
As described briefly in Chap. 3, a variant of the classical percolation called directed percolation (DP), has been shown to have fascinating... -
3D DEM investigation on percolation of lubricant particles during uniaxial metal powder compaction
Based on the discrete element method, a 3D particle size model including MoS 2 lubricant and iron powder particles has been used to simulate the...
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Continuous percolation in a Hilbert space for a large system of qubits
The development of percolation theory was historically shaped by its numerous applications in various branches of science, in particular in...
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Percolation Model of the Formation of High-Modulus Polymer/Carbon Nanotube Nanocomposites
AbstractGeneral theoretical criteria of obtaining high-modulus polymer/carbon nanotube and polymer/graphene nanocomposites are considered within the...
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Nanograin network memory with reconfigurable percolation paths for synaptic interactions
The development of memory devices with functions that simultaneously process and store data is required for efficient computation. To achieve this,...
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Mechanism modeling and application of Salvia miltiorrhiza percolation process
Percolation is a common extraction method of food processing industry. In this work, taking the percolation extraction of salvianolic acid B from Salvi...
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Dynamic Isotropic Percolation Process: Renormalization Group Analysis
Paradigmatic model of dynamic isotropic percolation is analyzed by the means of field theoretic methods. In particular, we employ powerful analytical... -
Visual simulation of opal using bond percolation through the weighted Voronoi diagram and the Ewald construction
Opal, a renowned gemstone, exhibits an optical phenomenon known as “play of color,” which is classified as a kind of structural color. This unique...
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Evaluating First-Train-Timetable-Network Performance in Urban Rail Transit with Percolation Theory
As modern large cities heavily rely on urban rail transit (URT) systems as their most crucial transportation infrastructure to meet daily commuting... -
Ecotoxicological evaluation of the effectiveness of natural adsorbents in the infiltration-percolation treatment of leachate
AbstractWaste management involves the operation of landfills, producing leachates that pose a threat to humans and surrounding ecosystems. The...
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Applications of Invasion Percolation
A highly important problem in engineering, physics, and chemistry is develo** efficient computational algorithms for studying complex phenomena.... -
The Percolation Model of Viscosity of Colloidal Systems Rubber/Disperse Filler
The rheological properties of colloidal systems rubber/disperse filler where studied within the framework of percolation theory. The model of random...
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CMMSE: a reduced percolation model for espresso coffee
Advection–diffusion–reaction equations are widely used in applied science, since they are able to describe real-life phenomena in which transport...
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Isoperimetric Inequalities and Supercritical Percolation on High-Dimensional Graphs
It is known that many different types of finite random subgraph models undergo quantitatively similar phase transitions around their percolation...
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Contribution to the Percolation Threshold Study of Silicon Carbide Filled Polydimethylsiloxane Composites Used For Field Grading Application
Nonlinear V-I characteristics of particulate composite prepared from dispersion of silicon carbide in a siloxane elastomer have been measured as a...
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Percolation in networks with local homeostatic plasticity
Percolation is a process that impairs network connectedness by deactivating links or nodes. This process features a phase transition that resembles...
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Evaluation of natural porous material as media filters for domestic wastewater treatment using infiltration percolation process
Before being evacuated to the natural environment, wastewater should be treated first. Since filtration is an essential technique for wastewater...