Application of Haldane's statistical correlation theory in classical systems

Department of Chemistry, National Institute of Technology Tiruchirappalli - Tanjore Main Road, NH83, Tiruchirappalli, Tamil Nadu 620015, India

Received: 26 March 2025
Accepted: 23 June 2025

Abstract

This letter investigates the application of Haldane's statistical correlation theory in classical systems. A modified statistical correlation theory has been proposed by including non-linearity in the form of an exponent into the original theory of Haldane. The dependence of the statistical correlation on indistinguishability is highlighted. Using this modified theory, a quasi-classical derivation of intermediate statistics is shown where indistinguishability can be introduced into distinguishable systems in the form of a statistical correlation. The final result is equivalent to the classical fractional exclusion statistics (CFES), which was derived earlier using a purely classical route. An extended non-linear correlation model based on power series expansion is also proposed, which can produce various intermediate statistical models.