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The Computation of Scalar Curvature in the Four-State Mixed Spin Model and the Investigation of Its Behavior: A Computational Study

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Author(s): Mohammadali Ghorbani | Alireza Heidari

Journal: Advances in Molecular Imaging
ISSN 2161-6728

Volume: 03;
Issue: 01;
Start page: 37;
Date: 2012;
Original page

Keywords: Scalar Curvature | Phase Transition | Spin Models

ABSTRACT
In the different statistical-mechanics models, the description of a metric on the parameters space causes a novel attitude towards the phase structure of theory. In this paper, the scalar curvature of R relating to this metric for the four-state mixed spin model is calculated. It is indicated that the scalar curvature in this model behaves similarly to Ising and Potts models. The observation of changes in R as functions of y and z in three-dimensional surfaces is useful to understand the issue. In this model, it can be seen that R is positive for all the y and z. The maximum value of R is for a value of y given along a field line, and in z = 1.
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