The equipartition theorem states that a particles' kinetic energy the energy it possesses due to motion - is determined only by its temperature, not its size or mass.
Raizen's study now proves that the equipartition theorem is true for Brownian particles; in this case, glass beads that were three micrometers across.
But we are actually opening a much larger door for future tests of the equipartition theorem at the quantum level.
The merit of the new approach is to break the Le Bail tendency to equipartition
the intensity of a group of overlapping reflections.
Beyond Kirchhoff's law, the analysis of cavity radiation leads to the conclusion that the equipartition
theorem cannot be valid across all systems.
Eddington, in his book Stellar Movements and the Structure of the Universe, (1914) was obviously taken by the Maxwellian idea but showed that the stars could not interact sufficiently to lead to equipartition
of energy and that, therefore, Halm's theory was incorrect.
The effect of an information source of external signals Y, is now seen in terms of more complex joint paths in Y and the R-space (of operators) whose behavior is, again, governed by a mutual information splitting criterion according to the Joint Asymptotic Equipartition
Theorem (a variant of the Shannon-McMillan Theorem).
This definition is sometimes called "asymptotic equipartition
principle" and it is equivalent to Shannon's source coding theorem (MacKay, 2003, p.
International contributors offer short communications and review and research papers on widely-ranging topics in this rapidly-changing or field, covering radio frequency waves dissipated by electron damping in tokamaks (machines producing a toroidal magnetic field for confining a plasma) with elliptic and circular magnetic surfaces, analytical treatments of barrier-type problems and plasma theory, interactions of ion beams with plasmas in terms of energy loss and equipartition
sum rules, dephasing in Rydberg plasmas, and quasilinear properties of the Einstein Gauss-Bonnet field equations.
Indeed, when non-local effects are important, the influence of the walls is expected to be felt at a considerable distance, and the fact that the mean-free path is long will imply that at each point there is a superposition of populations having different temperatures, thus breaking equipartition
When he applied the principle of the equipartition
of the created entropy  in the vicinity of equilibrium, Cunat  found that the weights [p.
This section begins with an introduction to heat capacity and heat storage, including the fundamentals of equipartition
theory for all states of matter.