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Related Concept Videos

Fault Types01:18

Fault Types

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When analyzing a single line-to-ground fault from phase A to ground at a three-phase bus, it is important to consider the fault impedance. This impedance is zero for a bolted fault, equal to the arc impedance for an arcing fault, and represents the total fault impedance for a transmission-line insulator flashover. To derive sequence and phase currents, fault conditions are translated from the phase domain to the sequence domain.
For line-to-line faults occurring between phases B and C, the...
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An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
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Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

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As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
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A thermodynamic process that occurs at constant temperature is called an isothermal process. Heat slowly flows into the system or out of the system to maintain thermal equilibrium. Processes involving phase changes like water evaporation into steam or freezing water into ice at a constant temperature are examples of Isothermal Processes.
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Relation Between the Distributed Load and Shear01:23

Relation Between the Distributed Load and Shear

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Understanding the relationship between the distributed load and shear force in structural analysis is crucial for analyzing beams subjected to various loading conditions. Consider the case of a beam experiencing a distributed load, two concentrated loads, and a couple moment.
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The principle of superposition applies to gravitational forces of objects that are sufficiently far apart. It states that the net gravitational force on a point object is the vector sum of the gravitational forces on it due to various objects. The principle helps calculate the force by listing the individual forces and then vectorially summing them up. However, it should be noted that the principle of superposition is not always apparent. In the presence of a second force, the first force could...
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Universal Non-Extensive Statistical Physics Temporal Pattern of Major Subduction Zone Aftershock Sequences.

Eleni-Apostolia Anyfadi1,2, Sophia-Ekaterini Avgerinou1,2, Georgios Michas1,2

  • 1Section of Geophysics-Geothermics, Department of Geology and Geoenvironment, National and Kapodistrian University of Athens, 15784 Athens, Greece.

Entropy (Basel, Switzerland)
|December 23, 2022
PubMed
Summary

Analyzing 42 earthquake aftershock sequences, this study reveals temporal patterns using non-extensive statistical physics. Findings show a crossover from power-law to exponential scaling in interevent times, crucial for understanding earthquake dynamics and seismic hazards.

Keywords:
Tsallis entropyaftershock sequencesinterevent timesmegathrust earthquakessubduction zonessuperstatistics

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Area of Science:

  • Geophysics
  • Statistical Physics
  • Seismology

Background:

  • Large subduction-zone earthquakes trigger widespread aftershock sequences.
  • Understanding aftershock patterns is vital for seismic hazard assessment and risk mitigation.
  • Previous studies highlight the importance of temporal evolution in aftershock sequences.

Purpose of the Study:

  • To analyze the statistical properties of 42 aftershock sequences following major subduction-zone earthquakes (M ≥ 7.0).
  • To investigate the temporal evolution of interevent times between successive aftershocks.
  • To apply non-extensive statistical physics (NESP) to understand earthquake dynamics.

Main Methods:

  • Analysis of 42 global aftershock sequences from earthquakes since 1976.
  • Investigation of interevent time distributions using non-extensive statistical physics (NESP).
  • Application of superstatistics to interpret observed scaling behaviors.

Main Results:

  • Demonstrated a crossover from power-law (q ≠ 1) to exponential (q = 1) scaling in interevent times.
  • Estimated entropic q-values ranging from 1.67 to 1.83.
  • Observed q-exponential behavior and crossover indicative of memory effects.

Conclusions:

  • The temporal evolution of aftershock sequences exhibits characteristic scaling patterns.
  • Non-extensive statistical physics provides a framework for understanding these complex temporal dynamics.
  • Findings contribute to a deeper understanding of earthquake processes and seismic hazard evaluation.