Distributions of Particles and Energy

Abstract

The stability of a system is determined by the overall behaviour of the system’s particles. In turn, this behaviour is established on the basis of the natural distributions the particles themselves spontaneously tend to assume. They tend to distribute across space according to a uniform spreading as the most probable outcome, and they also tend to share their energies according to a complex, non-uniform function that is nevertheless probabilistically equilibrated.

Keywords: Accessible states, Boltzmann factor, Classical Hamiltonian, Classical approximation, Configurational integral, Dominating configuration, Energy variance, Indistinguishable permutations, Levelling down energy, Macrostate fluctuation, Microstate probability, Minimum energy, Molecular partition function, Parcels equilibration, Sequence of microstates.