Examples for

Statistical Physics

The field of statistical physics solves complex physical problems using the methods of probability theory and statistics. Wolfram|Alpha uses these same tools to examine the motion and properties of ideal gases on a macroscopic and statistical level.

Random Walks

Analyze random motion in multiple dimensions over time.

Analyze a random walk:

Analyze a Levy distribution:

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Kinetic Theory

Examine the macroscopic properties of ideal gases, such as pressure, temperature, speed and thermal radiation.

Analyze blackbody radiation:

Find the Maxwell speed distribution of a gas:

Determine the mean free path:

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Sackur–Tetrode Equation

Calculate entropy for a monoatomic ideal gas.

Compute entropy with the Sackur–Tetrode equation:

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