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The equipartition theorem predicts that (Vx)²=(Vy)². The average force this wall applies to a particle in a container containing a single particle is independent of Ly& Lz.
The equipartition theorem establishes a connection between a system's temperature and average energy in classical statistical mechanics. Other names for the equipartition theorem include the law of equipartition, the equipartition of energy, and just the word "equipartition." A molecule's average kinetic energy per degree of freedom in translational motion should be equal to that in rotational motion, for example, according to the basic concept of equipartition, which states that energy is distributed equally among all of its many forms in thermal equilibrium.
Quantitative predictions are made using the equipartition theorem. Similar to the virial theorem, it provides the total average kinetic and potential energies for a system at a specific temperature, allowing one to calculate the system's heat capacity. Equipartition, however, also provides the average values for each of the energy's component parts.
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