Supercanonical Probability DistributionsPhysical Review E
- Distribution (Probability theory) -- Mathematical models,
- Asymptotic distribution (Probability theory),
- Thermodynamic equilibrium
The canonical probability distribution describes a system in thermal equilibrium with an infinite heat bath. When the bath is finite the distribution is modified. These modifications can be derived by truncating a Taylor-series expansion of the entropy of the heat bath, but their form depends on the expansion parameter chosen. We consider two such expansions, which yield supercanonical (i.e., higher-order canonical) distributions of exponential and power-law form. The latter is identical in form to the "Tsallis distribution," which is therefore a valid asymptotic approximation for an arbitrary finite heat bath, but bears no intrinsic relation to Tsallis entropy.
Citation InformationRamshaw, J. D. (2018). Supercanonical probability distributions. Physical Review E, 98(2), 020103.
This is the publisher's final PDF. Article appears in Physical Review A (http://pra.aps.org/) and is copyrighted by APS Journals (http://publish.aps.org/) and is available online https://doi.org/10.1103/PhysRevE.98.020103