The holographic principle and this statement reproduce Newton's law of universal gravitation in a model developed by Erik Verlinde. This statement picks up a factor of 2 in the ultra-relativistic limit since kinetic energy is roughly equal to c times momentum. It’s not the fluctuation-dissipation theorem, but Nyquist used this law to derive an equation explaining Johnson noise. In the general form of this statement, the expectation of the quantity x times the derivative of the Hamiltonian with respect to x equals (*) kT. This statement implies that an ideal gas has a constant specific heat equal to the number of degrees of freedom times k over 2. This statement only applies to degrees of freedom that are quadratic in energy. For 10 points, name this theorem which states that in thermal equilibrium, each degree of freedom has an average energy of one half kT. ■END■
ANSWER: equipartition theorem [or law of equipartition; or equipartition of energy]
<Science - Physics>
= Average correct buzz position