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Related Concept Videos

Shock Waves01:16

Shock Waves

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While deriving the Doppler formula for the observed frequency of a sound wave, it is assumed that the speed of sound in the medium is greater than the source's speed through it. When this condition is breached, a shock wave occurs.
When the source's speed approaches the speed of sound, constructive interference between successive wavefronts emitted by the source occurs immediately behind it. Initially, scientists believed that this constructive interference would result in such high...
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Propagation of Waves01:07

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When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
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Travelling Waves01:04

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A wave is a disturbance that propagates from its source, repeating itself periodically, and is typically associated with simple harmonic motion. Mechanical waves are governed by Newton's laws and require a medium to travel. A medium is a substance in which a mechanical wave propagates, and the medium produces an elastic restoring force when it is deformed.
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Standing Waves01:17

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Sometimes waves do not seem to move; rather, they just vibrate in place. Unmoving waves can be seen on the surface of a glass of milk kept in a refrigerator, which is one example of standing waves. Vibrations from the refrigerator motor create waves on the milk that oscillate up and down but do not seem to move across the surface. These waves are formed or created by the superposition of two or more identical moving waves in opposite directions. The waves move through each other, with their...
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Propagation of Action Potentials01:23

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The propagation of an action potential refers to the process by which a nerve impulse, or "action potential," travels along a neuron.
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Network covalent solids contain a three-dimensional network of covalently bonded atoms as found in the crystal structures of nonmetals like diamond, graphite, silicon, and some covalent compounds, such as silicon dioxide (sand) and silicon carbide (carborundum, the abrasive on sandpaper). Many minerals have networks of covalent bonds.
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Shock Wave Application to Cell Cultures
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Shock waves on complex networks.

Enys Mones1, Nuno A M Araújo2, Tamás Vicsek3

  • 11] Department of Biological Physics, Eötvös Loránd University, Pázmány Péter Sétány. 1/A, H-1117 Budapest, Hungary [2] Computational Physics for Engineering Materials, IfB, ETH Zürich, Wolfgang-Pauli-Strasse 27, CH-8093 Zürich, Switzerland.

Scientific Reports
|May 14, 2014
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Summary
This summary is machine-generated.

Networked infrastructures like power grids are vulnerable to cascading failures from local disturbances. This study models shock wave dynamics on graphs, revealing heterogeneous load distributions and identifying node-basin size as a key vulnerability predictor.

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Area of Science:

  • Network science
  • Complex systems analysis
  • Infrastructure resilience

Background:

  • Infrastructural networks (e.g., power grids, transportation) are susceptible to cascading failures initiated by local perturbations.
  • These perturbations can propagate as shock waves, potentially disrupting network functionality.

Purpose of the Study:

  • To investigate the dynamics of shock wave propagation in infrastructural networks under random perturbations.
  • To identify key network properties that correlate with node vulnerability and load distribution.

Main Methods:

  • Solving the Burgers equation to model shock wave dynamics.
  • Analyzing perturbations on various real and artificial directed graphs, including the European power grid and Watts-Strogatz networks.
  • Introducing and evaluating the node-basin size as a topological vulnerability metric.

Main Results:

  • A steady state is reached with heterogeneous load distributions, showing significant differences between highest and average loads.
  • A pronounced bimodal load distribution was unexpectedly observed in the European power grid and specific synthetic networks.
  • Node-basin size, a topological property, demonstrates a strong correlation with a node's average load.

Conclusions:

  • Topological properties, like node-basin size, are crucial for predicting load distribution and identifying vulnerable nodes in complex networks.
  • Understanding shock wave dynamics and load heterogeneity is essential for enhancing infrastructure resilience against cascading failures.