Virial theorem, wikipedia. In mechanics, the virial theorem provides a general equation that relates the average over time of the total kinetic energy, , of a stable system consisting of N particles, bound by potential forces, with that of the total potential energy, , where angle brackets represent the average over time of the enclosed quantity. Mathematically, the theorem states where Fk represents the force on the kth particle, which is located at position rk. The word "virial" derives from vis, the Latin word for "force" or "energy", and was given its technical definition by Rudolf Clausius in 1870.[1] The significance of the virial theorem is that it allows the average total kinetic energy to be calculated even for very complicated systems that defy an exact solution, such as those considered in statistical mechanics; this average total kinetic energy is related to the temperature of the system by the equipartition theorem.
Thus, twice the average total kinetic energy . History[edit] The total force where whenever. Kinetic Theory & The Viral. Osmotic Viral Equation (based on Van't Hoff) Derivation viral expansion. Viral Expansion (Statistical Mechanics) The Viral Equation of State. The N-Body Problem. Classical Mechanics. Mechanics.