Growth model for micro-particles towards indistinguishability and dirichlet prior

Document Type

Conference Article

Publication Title

Springer Proceedings in Mathematics and Statistics

Abstract

We consider partial distinguishability of micro particles in terms of averaging the cell probabilities by Dirichlet prior on k dimensional unit simplex with an added prior perturbation, where k is the number of states. The perturbation in uniform prior is such that the added term becomes negligible over progress in time; as the particles decay to a lower mass eventually. We compute Shannon’s measure of entropy for the ensemble of micro particles over time that converges to Shannon’s entropy of Bose-Einstein statistics for indistinguishable particles. Remainder in the expression of ensemble entropy of particles in intermediate state, from Shannon’s entropy of particles following Bose-Einstein (BE) statistics is examined to assess the evolution of the modeled system towards indistinguishability from partial indistinguishability. The rate of such convergence is seen to be polynomially decaying in terms of a controlling parameter in prior perturbation and the number of states k.

First Page

105

Last Page

113

DOI

10.1007/978-3-319-63886-7_4

Publication Date

1-1-2017

This document is currently not available here.

Share

COinS