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Creation of long range order in amorphous condensed systems

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Resonances The Unifying Route Towards the Formulation of Dynamical Processes Foundations and Applications in Nuclear, Atomic and Molecular Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 325))

Abstract

The second order density matrix Λ(2) of an N-body system, described by an AGP function, is considered. Certain theorems due to Yang, Sasaki and Coleman concerning the eigenvalue spectrum of Λ(2) and the possible appearance of coherent states, like e.g. BCS-states of superconductivity, are discussed in connection with Yang's concept of ODLRO (“off-diagonal long-range order“). The Complex Scaling Method (CSM) is introduced and some basic aspects of it are treated, like e.g. defining the appropriate scalar product, clarification of certain seemingly puzzling “inconsistencies” etc. Furthermore CSM is applied to the time evolution superoperator and the canonical density operator, and the connection with previous work on the mathematical foundation of Prigogine's theory of subdynamics is discussed. It is explicitly shown how the theoretical concepts and the mathematical framework are combined to demonstrate the appearance of a novel kind of organized forms, “coherent-dissipative structures”, created spontaneously in condensed amorphous phases (like liquids at standard experimental conditions). The last chapter of this article is dealing with the application of the theoretical results into the physical context of molecular spectroscopic processes in condensed systems. Two experimental situations are considered in some detail: 1) far-infrared absorption in polar liquids, 2) photon-counting in steady-state luminescence. The theory allows for 1) the interpretation of the “anomalous” temperature dependence of far-infrared absorption bands in liquids, as well as 2) the appearance of coherent areas in luminescent solutions that are detected by the dynamically induced fluctuations (D-fluctuations) in the photoemission flux. The direct connection with experiments clearly demonstrates the physical content of the coherent-dissipative structures; it also illustrates the physical meaning of our novel theoretical approach to dynamical processes utilizing the application of the Complex Scaling Method in the framework of statistical mechanics.

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Authors and Affiliations

  1. Quantum Chemistry Group for Research in Atomic, Molecular and Solid State Physics Uppsala University, S-751 20, Box 518, Uppsala, Sweden

    Erkki Brändas

  2. Dreismann, Germany

    C. Aris-Chatzidimitriou

  3. Institute for Physical and Theoretical Chemistry, Technical University of Berlin, Strasse des 17 Juni 112, D-1000, Berlin 12, Federal Republic of Germany

    IwanN. Stranski

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  1. Erkki Brändas
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  2. C. Aris-Chatzidimitriou
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  3. IwanN. Stranski
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Erkki Brändas Nils Elander

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© 1989 Springer-Verlag

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Brändas, E., Aris-Chatzidimitriou, C., Stranski, I. (1989). Creation of long range order in amorphous condensed systems. In: Brändas, E., Elander, N. (eds) Resonances The Unifying Route Towards the Formulation of Dynamical Processes Foundations and Applications in Nuclear, Atomic and Molecular Physics. Lecture Notes in Physics, vol 325. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-50994-1_55

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  • DOI: https://doi.org/10.1007/3-540-50994-1_55

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  • Print ISBN: 978-3-540-50994-3

  • Online ISBN: 978-3-540-46130-2

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