A mathematical modeling of n-state systems

M. Rahimi, M.R. Mozaffari and A. Tayebi

Physica A: Statistical Mechanics and its Applications, 2025, vol. 674, issue C

Abstract: In this paper, we assign a Riemannian manifold to n-state systems by using a canonical ensemble in equilibrium statistical mechanics. We consider discrete states with equal intervals, i.e., we assume equal energy intervals between the states of non-interacting particles. Since there are many important quantities on a Riemannian manifold, we may define them for n-state systems. We define a distance between different equilibrium statistical states of an n-state system. We also give a lower bound for the mean square error of an unbiased estimator for the temperature of an n-state system.

Keywords: Riemann metric; Fisher distance; n-state system; Boltzmann distribution; Statistical manifold (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:674:y:2025:i:c:s0378437125003796

DOI: 10.1016/j.physa.2025.130727

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