D. K. Sunko
Published 2000-05-01, updated 2006-01-10Version 2
The cluster cumulant formula of Kubo is derived by appealing only to elementary properties of subsets and binomial coefficients. It is shown to be a binomial transform of the grand potential. Extensivity is proven without introducing cumulants. A combinatorial inversion is used to reformulate the expansion in the activity to one in occupation probabilities, which explicitly control the convergence. The classical virial expansion is recovered to third order as an example.
Comments: pedagogically minded, minor changes as suggested by the referee, appeared in a memorial issue of Fizika A (Zagreb)
Journal: Fizika A (Zagreb) 14 (2005) 119-134
The derivation of model kinetic equation for gases and for plasmas
Grand potential in thermodynamics of solid bodies and surfaces
Thermodynamics of a Higher-Order Topological Insulator
