Application of Haldane's statistical correlation theory in classical systems
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.
Cite
@article{arxiv.2406.14327,
title = {Application of Haldane's statistical correlation theory in classical systems},
author = {Projesh Kumar Roy},
journal= {arXiv preprint arXiv:2406.14327},
year = {2025}
}