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.
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Gas Laws

Calculate the properties of ideal and nonideal gases based on their pressure, temperature and chemical structure.

Do an ideal gas law computation:

ideal gas law 2.2mol, 2.0atm, 500K

Determine characteristics of an ideal gas:

isobaric heat capacity of an ideal gas

Find characteristics of a van der Waals gas:

van der Waals gas
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Random Walks

Analyze random motion in multiple dimensions over time.

Analyze a random walk:

random walk in 1D
2D random walk
3D random walk, 500 steps

Analyze a Levy distribution:

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:

Planck's law 4000K
Wien's law

Find the Maxwell speed distribution of a gas:

msd for neon at 800 K

Determine the mean free path:

mean free path formula
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Sackur–Tetrode Equation

Calculate entropy for a monoatomic ideal gas.

Compute entropy with the Sackur–Tetrode equation:

Sackur-Tetrode equation
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