Archives for Statistical Mechanics
Mean Square Fluctuations of Energy (monoatomic gas)
Monoatomic Ideal Gas — Energy Fluctuations & Velocity Probabilities Monoatomic Perfect Gas (N particles) Below are (A) the mean-square fluctuation in energy in the canonical ensemble and (B) the probability…
Poincare Recurrence Theorem – Mathematical
Poincaré Recurrence Theorem The Poincaré Recurrence Theorem is a foundational result in dynamical systems and ergodic theory, which asserts that a system in a finite phase space will, after sufficient…
Statistical Mechanics of the early Universe
The early expanding universe, especially in the context of the **Big Bang** and the subsequent evolution, can be described through the framework of **statistical mechanics**. This involves the application of…