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Order indices and ordering in macroscopic systems

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Il Nuovo Cimento B (1971-1996)

Summary

In A. J. Coleman and V. I. Yukalov:Mod. Phys. Lett. B,5, 1679 (1991) andNuovo Cimento B, 107, 535 (1992) we introduced order indices of reduced density matrices as a tool to connect macroscopic and microscopic properties of physical systems. In the present paper, we give a definition of order indices which is independent of the representation of the density matrices and is valid for both fermion and boson systems and for all types of order: short, mid and long range. Time-dependent indices are introduced to permit discussion of non-equilibrium processes. Special attention is devoted to the study of mid-range order and the corresponding stability conditions. Mid-range order is examined both in a system at rest and in a system with two-velocity motion.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Queen’s University, K7L 3N6, Kingston, Ontario, Canada

    A. J. Coleman & V. I. Yukalov

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  1. A. J. Coleman
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  2. V. I. Yukalov
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Coleman, A.J., Yukalov, V.I. Order indices and ordering in macroscopic systems. Nuov Cim B 108, 1377–1397 (1993). https://doi.org/10.1007/BF02755191

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  • DOI: https://doi.org/10.1007/BF02755191

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