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Fermi Distribution Demo

Fermi Distribution Demo
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2013-01-24 17:41
FunctionProbability & StatisticsSlider Animation
This example demonstrates how the Fermi distribution varies with the degeneracy parameter, involving core math concepts like Fermi distribution, degeneracy parameter, and probability & statistics. It is constructed using GeoGebra commands/objects like If, Point, Segment, targeting university students and researchers in physics and astrophysics.

GeoGebra Commands & Parameters

  1. If(x > 0, 1 / (exp(XF * x - XF + 9.87 / XF) + 1)) → f
  2. Point(yAxis) → A
  3. Segment(A, B) → a
  4. Point(xAxis) → C
  5. Segment(B, C) → b
  6. If(1 - 1 / (2XF) < x < 1 + 1 / (2XF), 1.05) → kT
  7. Point(kT) → E
  8. Point(f) → D

AI Drawing Prompt Reference

Draw a graph showing how the Fermi distribution varies with the degeneracy parameter, including a curve representing the Fermi distribution, a line segment connecting a point on the x-axis to the Fermi distribution curve, a point on the x-axis, and a point above the Fermi distribution curve, connected by a line segment. Also, add a fixed-height point above the Fermi distribution curve to represent temperature.
The prompt above was compiled from the original drawing commands and is for reference only.